31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@Proceedings{arge_et_al:LIPIcs.SOCG.2015, title = {{LIPIcs, Volume 34, SoCG'15, Complete Volume}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015}, URN = {urn:nbn:de:0030-drops-52479}, doi = {10.4230/LIPIcs.SOCG.2015}, annote = {Keywords: Analysis of Algorithms and Problem Complexity, Nonnumerical Algorithms and Problems – Geometrical problems and computations, Discrete Mathematics} }
31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. i-xx, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{arge_et_al:LIPIcs.SOCG.2015.i, author = {Arge, Lars and Pach, J\'{a}nos}, title = {{Front Matter, Table of Contents, Preface, Conference Organization}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {i--xx}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.i}, URN = {urn:nbn:de:0030-drops-50844}, doi = {10.4230/LIPIcs.SOCG.2015.i}, annote = {Keywords: Front Matter, Table of Contents, Preface, Conference Organization} }
Jirí Matoušek and Aleksandar Nikolov. Combinatorial Discrepancy for Boxes via the gamma_2 Norm. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{matousek_et_al:LIPIcs.SOCG.2015.1, author = {Matou\v{s}ek, Jir{\'\i} and Nikolov, Aleksandar}, title = {{Combinatorial Discrepancy for Boxes via the gamma\underline2 Norm}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {1--15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.1}, URN = {urn:nbn:de:0030-drops-51091}, doi = {10.4230/LIPIcs.SOCG.2015.1}, annote = {Keywords: discrepancy theory, range counting, factorization norms} }
Aaron T. Becker, Erik D. Demaine, Sándor P. Fekete, Hamed Mohtasham Shad, and Rose Morris-Wright. Tilt: The Video - Designing Worlds to Control Robot Swarms with Only Global Signals. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 16-18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{becker_et_al:LIPIcs.SOCG.2015.16, author = {Becker, Aaron T. and Demaine, Erik D. and Fekete, S\'{a}ndor P. and Shad, Hamed Mohtasham and Morris-Wright, Rose}, title = {{Tilt: The Video - Designing Worlds to Control Robot Swarms with Only Global Signals}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {16--18}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.16}, URN = {urn:nbn:de:0030-drops-50870}, doi = {10.4230/LIPIcs.SOCG.2015.16}, annote = {Keywords: Particle swarms, global control, complexity, geometric computation} }
Gill Barequet and Mira Shalah. Automatic Proofs for Formulae Enumerating Proper Polycubes. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 19-22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{barequet_et_al:LIPIcs.SOCG.2015.19, author = {Barequet, Gill and Shalah, Mira}, title = {{Automatic Proofs for Formulae Enumerating Proper Polycubes}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {19--22}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.19}, URN = {urn:nbn:de:0030-drops-50889}, doi = {10.4230/LIPIcs.SOCG.2015.19}, annote = {Keywords: Polycubes, inclusion-exclusion} }
Nicholas J. Cavanna, Mahmoodreza Jahanseir, and Donald R. Sheehy. Visualizing Sparse Filtrations. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 23-25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{cavanna_et_al:LIPIcs.SOCG.2015.23, author = {Cavanna, Nicholas J. and Jahanseir, Mahmoodreza and Sheehy, Donald R.}, title = {{Visualizing Sparse Filtrations}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {23--25}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.23}, URN = {urn:nbn:de:0030-drops-50893}, doi = {10.4230/LIPIcs.SOCG.2015.23}, annote = {Keywords: Topological Data Analysis, Simplicial Complexes, Persistent Homology} }
Topi Talvitie. Visualizing Quickest Visibility Maps. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 26-28, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{talvitie:LIPIcs.SOCG.2015.26, author = {Talvitie, Topi}, title = {{Visualizing Quickest Visibility Maps}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {26--28}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.26}, URN = {urn:nbn:de:0030-drops-50906}, doi = {10.4230/LIPIcs.SOCG.2015.26}, annote = {Keywords: path planning, visibility} }
Zeev Dvir and Guangda Hu. Sylvester-Gallai for Arrangements of Subspaces. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 29-43, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{dvir_et_al:LIPIcs.SOCG.2015.29, author = {Dvir, Zeev and Hu, Guangda}, title = {{Sylvester-Gallai for Arrangements of Subspaces}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {29--43}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.29}, URN = {urn:nbn:de:0030-drops-51303}, doi = {10.4230/LIPIcs.SOCG.2015.29}, annote = {Keywords: Sylvester-Gallai, Locally Correctable Codes} }
Wolfgang Mulzer and Yannik Stein. Computational Aspects of the Colorful Carathéodory Theorem. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 44-58, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{mulzer_et_al:LIPIcs.SOCG.2015.44, author = {Mulzer, Wolfgang and Stein, Yannik}, title = {{Computational Aspects of the Colorful Carath\'{e}odory Theorem}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {44--58}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.44}, URN = {urn:nbn:de:0030-drops-51019}, doi = {10.4230/LIPIcs.SOCG.2015.44}, annote = {Keywords: colorful Carath\'{e}odory theorem, high-dimensional approximation, PLS} }
Andrew Suk. Semi-algebraic Ramsey Numbers. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 59-73, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{suk:LIPIcs.SOCG.2015.59, author = {Suk, Andrew}, title = {{Semi-algebraic Ramsey Numbers}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {59--73}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.59}, URN = {urn:nbn:de:0030-drops-50955}, doi = {10.4230/LIPIcs.SOCG.2015.59}, annote = {Keywords: Ramsey theory, semi-algebraic relation, one-sided hyperplanes, Schur numbers} }
Oliver Roche-Newton. A Short Proof of a Near-Optimal Cardinality Estimate for the Product of a Sum Set. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 74-80, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{rochenewton:LIPIcs.SOCG.2015.74, author = {Roche-Newton, Oliver}, title = {{A Short Proof of a Near-Optimal Cardinality Estimate for the Product of a Sum Set}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {74--80}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.74}, URN = {urn:nbn:de:0030-drops-51200}, doi = {10.4230/LIPIcs.SOCG.2015.74}, annote = {Keywords: Szemer\'{e}di-Trotter Theorem, pinned distances, sum-product estimates} }
Menelaos I. Karavelas and Eleni Tzanaki. A Geometric Approach for the Upper Bound Theorem for Minkowski Sums of Convex Polytopes. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 81-95, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{karavelas_et_al:LIPIcs.SOCG.2015.81, author = {Karavelas, Menelaos I. and Tzanaki, Eleni}, title = {{A Geometric Approach for the Upper Bound Theorem for Minkowski Sums of Convex Polytopes}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {81--95}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.81}, URN = {urn:nbn:de:0030-drops-51428}, doi = {10.4230/LIPIcs.SOCG.2015.81}, annote = {Keywords: Convex polytopes, Minkowski sum, upper bound} }
Kunal Dutta, Esther Ezra, and Arijit Ghosh. Two Proofs for Shallow Packings. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 96-110, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{dutta_et_al:LIPIcs.SOCG.2015.96, author = {Dutta, Kunal and Ezra, Esther and Ghosh, Arijit}, title = {{Two Proofs for Shallow Packings}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {96--110}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.96}, URN = {urn:nbn:de:0030-drops-51493}, doi = {10.4230/LIPIcs.SOCG.2015.96}, annote = {Keywords: Set systems of bounded primal shatter dimension, delta-packing \& Haussler’s approach, relative approximations, Clarkson-Shor random sampling approach} }
Sariel Har-Peled. Shortest Path in a Polygon using Sublinear Space. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 111-125, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{harpeled:LIPIcs.SOCG.2015.111, author = {Har-Peled, Sariel}, title = {{Shortest Path in a Polygon using Sublinear Space}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {111--125}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.111}, URN = {urn:nbn:de:0030-drops-50941}, doi = {10.4230/LIPIcs.SOCG.2015.111}, annote = {Keywords: Shortest path, violator spaces, limited space} }
Patrizio Angelini, Giordano Da Lozzo, Fabrizio Frati, Anna Lubiw, Maurizio Patrignani, and Vincenzo Roselli. Optimal Morphs of Convex Drawings. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 126-140, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{angelini_et_al:LIPIcs.SOCG.2015.126, author = {Angelini, Patrizio and Da Lozzo, Giordano and Frati, Fabrizio and Lubiw, Anna and Patrignani, Maurizio and Roselli, Vincenzo}, title = {{Optimal Morphs of Convex Drawings}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {126--140}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.126}, URN = {urn:nbn:de:0030-drops-51333}, doi = {10.4230/LIPIcs.SOCG.2015.126}, annote = {Keywords: Convex Drawings, Planar Graphs, Morphing, Geometric Representations} }
Therese Biedl and Martin Derka. 1-String B_2-VPG Representation of Planar Graphs. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 141-155, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{biedl_et_al:LIPIcs.SOCG.2015.141, author = {Biedl, Therese and Derka, Martin}, title = {{1-String B\underline2-VPG Representation of Planar Graphs}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {141--155}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.141}, URN = {urn:nbn:de:0030-drops-51323}, doi = {10.4230/LIPIcs.SOCG.2015.141}, annote = {Keywords: Graph drawing, string graphs, VPG graphs, planar graphs} }
Haim Kaplan, Wolfgang Mulzer, Liam Roditty, and Paul Seiferth. Spanners and Reachability Oracles for Directed Transmission Graphs. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 156-170, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{kaplan_et_al:LIPIcs.SOCG.2015.156, author = {Kaplan, Haim and Mulzer, Wolfgang and Roditty, Liam and Seiferth, Paul}, title = {{Spanners and Reachability Oracles for Directed Transmission Graphs}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {156--170}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.156}, URN = {urn:nbn:de:0030-drops-51062}, doi = {10.4230/LIPIcs.SOCG.2015.156}, annote = {Keywords: Transmission Graphs, Reachability Oracles, Spanner, Intersection Graph} }
Jean Cardinal and Udo Hoffmann. Recognition and Complexity of Point Visibility Graphs. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 171-185, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{cardinal_et_al:LIPIcs.SOCG.2015.171, author = {Cardinal, Jean and Hoffmann, Udo}, title = {{Recognition and Complexity of Point Visibility Graphs}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {171--185}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.171}, URN = {urn:nbn:de:0030-drops-51390}, doi = {10.4230/LIPIcs.SOCG.2015.171}, annote = {Keywords: point visibility graphs, recognition, existential theory of the reals} }
Mohammad Ali Abam, Marjan Adeli, Hamid Homapour, and Pooya Zafar Asadollahpoor. Geometric Spanners for Points Inside a Polygonal Domain. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 186-197, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{abam_et_al:LIPIcs.SOCG.2015.186, author = {Abam, Mohammad Ali and Adeli, Marjan and Homapour, Hamid and Asadollahpoor, Pooya Zafar}, title = {{Geometric Spanners for Points Inside a Polygonal Domain}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {186--197}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.186}, URN = {urn:nbn:de:0030-drops-51378}, doi = {10.4230/LIPIcs.SOCG.2015.186}, annote = {Keywords: Geometric Spanners, Polygonal Domain, Visibility Graph} }
Mikkel Abrahamsen. An Optimal Algorithm for the Separating Common Tangents of Two Polygons. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 198-208, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{abrahamsen:LIPIcs.SOCG.2015.198, author = {Abrahamsen, Mikkel}, title = {{An Optimal Algorithm for the Separating Common Tangents of Two Polygons}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {198--208}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.198}, URN = {urn:nbn:de:0030-drops-51313}, doi = {10.4230/LIPIcs.SOCG.2015.198}, annote = {Keywords: planar computational geometry, simple polygon, common tangent, optimal algorithm, constant workspace} }
Hee Kap Ahn, Luis Barba, Prosenjit Bose, Jean-Lou De Carufel, Matias Korman, and Eunjin Oh. A Linear-Time Algorithm for the Geodesic Center of a Simple Polygon. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 209-223, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{ahn_et_al:LIPIcs.SOCG.2015.209, author = {Ahn, Hee Kap and Barba, Luis and Bose, Prosenjit and De Carufel, Jean-Lou and Korman, Matias and Oh, Eunjin}, title = {{A Linear-Time Algorithm for the Geodesic Center of a Simple Polygon}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {209--223}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.209}, URN = {urn:nbn:de:0030-drops-51448}, doi = {10.4230/LIPIcs.SOCG.2015.209}, annote = {Keywords: Geodesic distance, facility location, 1-center problem, simple polygons} }
Olivier Devillers, Marc Glisse, Xavier Goaoc, and Rémy Thomasse. On the Smoothed Complexity of Convex Hulls. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 224-239, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{devillers_et_al:LIPIcs.SOCG.2015.224, author = {Devillers, Olivier and Glisse, Marc and Goaoc, Xavier and Thomasse, R\'{e}my}, title = {{On the Smoothed Complexity of Convex Hulls}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {224--239}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.224}, URN = {urn:nbn:de:0030-drops-51451}, doi = {10.4230/LIPIcs.SOCG.2015.224}, annote = {Keywords: Probabilistic analysis, Worst-case analysis, Gaussian noise} }
Drago Bokal, Sergio Cabello, and David Eppstein. Finding All Maximal Subsequences with Hereditary Properties. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 240-254, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{bokal_et_al:LIPIcs.SOCG.2015.240, author = {Bokal, Drago and Cabello, Sergio and Eppstein, David}, title = {{Finding All Maximal Subsequences with Hereditary Properties}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {240--254}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.240}, URN = {urn:nbn:de:0030-drops-51132}, doi = {10.4230/LIPIcs.SOCG.2015.240}, annote = {Keywords: convex hull, diameter, monotone path, sequence of points, trajectory} }
Ramsay Dyer, Gert Vegter, and Mathijs Wintraecken. Riemannian Simplices and Triangulations. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 255-269, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{dyer_et_al:LIPIcs.SOCG.2015.255, author = {Dyer, Ramsay and Vegter, Gert and Wintraecken, Mathijs}, title = {{Riemannian Simplices and Triangulations}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {255--269}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.255}, URN = {urn:nbn:de:0030-drops-51361}, doi = {10.4230/LIPIcs.SOCG.2015.255}, annote = {Keywords: Karcher means, barycentric coordinates, triangulation, Riemannian manifold, Riemannian simplices} }
Benjamin A. Burton and William Pettersson. An Edge-Based Framework for Enumerating 3-Manifold Triangulations. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 270-284, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{burton_et_al:LIPIcs.SOCG.2015.270, author = {Burton, Benjamin A. and Pettersson, William}, title = {{An Edge-Based Framework for Enumerating 3-Manifold Triangulations}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {270--284}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.270}, URN = {urn:nbn:de:0030-drops-51485}, doi = {10.4230/LIPIcs.SOCG.2015.270}, annote = {Keywords: triangulations, enumeration, graph theory} }
Alexander Pilz and Emo Welzl. Order on Order Types. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 285-299, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{pilz_et_al:LIPIcs.SOCG.2015.285, author = {Pilz, Alexander and Welzl, Emo}, title = {{Order on Order Types}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {285--299}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.285}, URN = {urn:nbn:de:0030-drops-51194}, doi = {10.4230/LIPIcs.SOCG.2015.285}, annote = {Keywords: point set, order type, planar graph, crossing-free geometric graph} }
Xavier Goaoc, Alfredo Hubard, Rémi de Joannis de Verclos, Jean-Sébastien Sereni, and Jan Volec. Limits of Order Types. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 300-314, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{goaoc_et_al:LIPIcs.SOCG.2015.300, author = {Goaoc, Xavier and Hubard, Alfredo and de Joannis de Verclos, R\'{e}mi and Sereni, Jean-S\'{e}bastien and Volec, Jan}, title = {{Limits of Order Types}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {300--314}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.300}, URN = {urn:nbn:de:0030-drops-51264}, doi = {10.4230/LIPIcs.SOCG.2015.300}, annote = {Keywords: order types, Limits of discrete structures, Flag algebras, Erdos-Szekeres, Sylvester’s problem} }
Komei Fukuda, Bernd Gärtner, and May Szedlák. Combinatorial Redundancy Detection. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 315-328, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{fukuda_et_al:LIPIcs.SOCG.2015.315, author = {Fukuda, Komei and G\"{a}rtner, Bernd and Szedl\'{a}k, May}, title = {{Combinatorial Redundancy Detection}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {315--328}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.315}, URN = {urn:nbn:de:0030-drops-51434}, doi = {10.4230/LIPIcs.SOCG.2015.315}, annote = {Keywords: system of linear inequalities, redundancy removal, linear programming, output sensitive algorithm, Clarkson’s method} }
Vincent Cohen-Addad and Claire Mathieu. Effectiveness of Local Search for Geometric Optimization. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 329-344, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{cohenaddad_et_al:LIPIcs.SOCG.2015.329, author = {Cohen-Addad, Vincent and Mathieu, Claire}, title = {{Effectiveness of Local Search for Geometric Optimization}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {329--344}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.329}, URN = {urn:nbn:de:0030-drops-51241}, doi = {10.4230/LIPIcs.SOCG.2015.329}, annote = {Keywords: Local Search, PTAS, Facility Location, k-Median, TSP, Steiner Tree} }
Daniel Dadush and Nicolai Hähnle. On the Shadow Simplex Method for Curved Polyhedra. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 345-359, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{dadush_et_al:LIPIcs.SOCG.2015.345, author = {Dadush, Daniel and H\"{a}hnle, Nicolai}, title = {{On the Shadow Simplex Method for Curved Polyhedra}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {345--359}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.345}, URN = {urn:nbn:de:0030-drops-51142}, doi = {10.4230/LIPIcs.SOCG.2015.345}, annote = {Keywords: Optimization, Linear Programming, Simplex Method, Diameter of Polyhedra} }
Ho-Lin Chen, David Doty, Ján Manuch, Arash Rafiey, and Ladislav Stacho. Pattern Overlap Implies Runaway Growth in Hierarchical Tile Systems. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 360-373, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{chen_et_al:LIPIcs.SOCG.2015.360, author = {Chen, Ho-Lin and Doty, David and Manuch, J\'{a}n and Rafiey, Arash and Stacho, Ladislav}, title = {{Pattern Overlap Implies Runaway Growth in Hierarchical Tile Systems}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {360--373}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.360}, URN = {urn:nbn:de:0030-drops-50935}, doi = {10.4230/LIPIcs.SOCG.2015.360}, annote = {Keywords: self-assembly, hierarchical, pumping} }
Sariel Har-Peled, Nirman Kumar, David M. Mount, and Benjamin Raichel. Space Exploration via Proximity Search. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 374-389, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{harpeled_et_al:LIPIcs.SOCG.2015.374, author = {Har-Peled, Sariel and Kumar, Nirman and Mount, David M. and Raichel, Benjamin}, title = {{Space Exploration via Proximity Search}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {374--389}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.374}, URN = {urn:nbn:de:0030-drops-51004}, doi = {10.4230/LIPIcs.SOCG.2015.374}, annote = {Keywords: Proximity search, implicit point set, probing} }
Stephen Kiazyk and Anna Lubiw. Star Unfolding from a Geodesic Curve. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 390-404, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{kiazyk_et_al:LIPIcs.SOCG.2015.390, author = {Kiazyk, Stephen and Lubiw, Anna}, title = {{Star Unfolding from a Geodesic Curve}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {390--404}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.390}, URN = {urn:nbn:de:0030-drops-51380}, doi = {10.4230/LIPIcs.SOCG.2015.390}, annote = {Keywords: unfolding, convex polyhedra, geodesic curve} }
Ben J. Green. The Dirac-Motzkin Problem on Ordinary Lines and the Orchard Problem (Invited Talk). In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, p. 405, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{green:LIPIcs.SOCG.2015.405, author = {Green, Ben J.}, title = {{The Dirac-Motzkin Problem on Ordinary Lines and the Orchard Problem}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {405--405}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.405}, URN = {urn:nbn:de:0030-drops-50852}, doi = {10.4230/LIPIcs.SOCG.2015.405}, annote = {Keywords: combinatorial geometry, incidences} }
Martin Balko, Vít Jelínek, Pavel Valtr, and Bartosz Walczak. On the Beer Index of Convexity and Its Variants. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 406-420, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{balko_et_al:LIPIcs.SOCG.2015.406, author = {Balko, Martin and Jel{\'\i}nek, V{\'\i}t and Valtr, Pavel and Walczak, Bartosz}, title = {{On the Beer Index of Convexity and Its Variants}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {406--420}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.406}, URN = {urn:nbn:de:0030-drops-51229}, doi = {10.4230/LIPIcs.SOCG.2015.406}, annote = {Keywords: Beer index of convexity, convexity ratio, convexity measure, visibility} }
Frank Hoffmann, Klaus Kriegel, Subhash Suri, Kevin Verbeek, and Max Willert. Tight Bounds for Conflict-Free Chromatic Guarding of Orthogonal Art Galleries. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 421-435, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{hoffmann_et_al:LIPIcs.SOCG.2015.421, author = {Hoffmann, Frank and Kriegel, Klaus and Suri, Subhash and Verbeek, Kevin and Willert, Max}, title = {{Tight Bounds for Conflict-Free Chromatic Guarding of Orthogonal Art Galleries}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {421--435}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.421}, URN = {urn:nbn:de:0030-drops-50970}, doi = {10.4230/LIPIcs.SOCG.2015.421}, annote = {Keywords: Orthogonal polygons, art gallery problem, hypergraph coloring} }
Evangelos Anagnostopoulos, Ioannis Z. Emiris, and Ioannis Psarros. Low-Quality Dimension Reduction and High-Dimensional Approximate Nearest Neighbor. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 436-450, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{anagnostopoulos_et_al:LIPIcs.SOCG.2015.436, author = {Anagnostopoulos, Evangelos and Emiris, Ioannis Z. and Psarros, Ioannis}, title = {{Low-Quality Dimension Reduction and High-Dimensional Approximate Nearest Neighbor}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {436--450}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.436}, URN = {urn:nbn:de:0030-drops-51181}, doi = {10.4230/LIPIcs.SOCG.2015.436}, annote = {Keywords: Approximate nearest neighbor, Randomized embeddings, Curse of dimensionality, Johnson-Lindenstrauss Lemma, Bounded expansion rate, Experimental study} }
Zeyuan Allen-Zhu, Rati Gelashvili, and Ilya Razenshteyn. Restricted Isometry Property for General p-Norms. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 451-460, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{allenzhu_et_al:LIPIcs.SOCG.2015.451, author = {Allen-Zhu, Zeyuan and Gelashvili, Rati and Razenshteyn, Ilya}, title = {{Restricted Isometry Property for General p-Norms}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {451--460}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.451}, URN = {urn:nbn:de:0030-drops-51273}, doi = {10.4230/LIPIcs.SOCG.2015.451}, annote = {Keywords: compressive sensing, dimension reduction, linear algebra, high-dimensional geometry} }
Ulrich Bauer, Elizabeth Munch, and Yusu Wang. Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 461-475, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{bauer_et_al:LIPIcs.SOCG.2015.461, author = {Bauer, Ulrich and Munch, Elizabeth and Wang, Yusu}, title = {{Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {461--475}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.461}, URN = {urn:nbn:de:0030-drops-51467}, doi = {10.4230/LIPIcs.SOCG.2015.461}, annote = {Keywords: Reeb graph, interleaving distance, functional distortion distance} }
Xavier Goaoc, Isaac Mabillard, Pavel Paták, Zuzana Patáková, Martin Tancer, and Uli Wagner. On Generalized Heawood Inequalities for Manifolds: A Van Kampen-Flores-type Nonembeddability Result. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 476-490, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{goaoc_et_al:LIPIcs.SOCG.2015.476, author = {Goaoc, Xavier and Mabillard, Isaac and Pat\'{a}k, Pavel and Pat\'{a}kov\'{a}, Zuzana and Tancer, Martin and Wagner, Uli}, title = {{On Generalized Heawood Inequalities for Manifolds: A Van Kampen-Flores-type Nonembeddability Result}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {476--490}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.476}, URN = {urn:nbn:de:0030-drops-51256}, doi = {10.4230/LIPIcs.SOCG.2015.476}, annote = {Keywords: Heawood Inequality, Embeddings, Van Kampen–Flores, Manifolds} }
Tamal K. Dey, Dayu Shi, and Yusu Wang. Comparing Graphs via Persistence Distortion. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 491-506, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{dey_et_al:LIPIcs.SOCG.2015.491, author = {Dey, Tamal K. and Shi, Dayu and Wang, Yusu}, title = {{Comparing Graphs via Persistence Distortion}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {491--506}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.491}, URN = {urn:nbn:de:0030-drops-51285}, doi = {10.4230/LIPIcs.SOCG.2015.491}, annote = {Keywords: Graph matching, metric graphs, persistence distortion, topological method} }
Xavier Goaoc, Pavel Paták, Zuzana Patáková, Martin Tancer, and Uli Wagner. Bounding Helly Numbers via Betti Numbers. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 507-521, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{goaoc_et_al:LIPIcs.SOCG.2015.507, author = {Goaoc, Xavier and Pat\'{a}k, Pavel and Pat\'{a}kov\'{a}, Zuzana and Tancer, Martin and Wagner, Uli}, title = {{Bounding Helly Numbers via Betti Numbers}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {507--521}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.507}, URN = {urn:nbn:de:0030-drops-51297}, doi = {10.4230/LIPIcs.SOCG.2015.507}, annote = {Keywords: Helly-type theorem, Ramsey’s theorem, Embedding of simplicial complexes, Homological almost-embedding, Betti numbers} }
Orit E. Raz, Micha Sharir, and Frank de Zeeuw. Polynomials Vanishing on Cartesian Products: The Elekes-Szabó Theorem Revisited. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 522-536, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{raz_et_al:LIPIcs.SOCG.2015.522, author = {Raz, Orit E. and Sharir, Micha and de Zeeuw, Frank}, title = {{Polynomials Vanishing on Cartesian Products: The Elekes-Szab\'{o} Theorem Revisited}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {522--536}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.522}, URN = {urn:nbn:de:0030-drops-51031}, doi = {10.4230/LIPIcs.SOCG.2015.522}, annote = {Keywords: Combinatorial geometry, incidences, polynomials} }
Ben Lund, Adam Sheffer, and Frank de Zeeuw. Bisector Energy and Few Distinct Distances. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 537-552, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{lund_et_al:LIPIcs.SOCG.2015.537, author = {Lund, Ben and Sheffer, Adam and de Zeeuw, Frank}, title = {{Bisector Energy and Few Distinct Distances}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {537--552}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.537}, URN = {urn:nbn:de:0030-drops-51086}, doi = {10.4230/LIPIcs.SOCG.2015.537}, annote = {Keywords: Combinatorial geometry, distinct distances, incidence geometry} }
Micha Sharir and Noam Solomon. Incidences between Points and Lines in Three Dimensions. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 553-568, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{sharir_et_al:LIPIcs.SOCG.2015.553, author = {Sharir, Micha and Solomon, Noam}, title = {{Incidences between Points and Lines in Three Dimensions}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {553--568}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.553}, URN = {urn:nbn:de:0030-drops-51107}, doi = {10.4230/LIPIcs.SOCG.2015.553}, annote = {Keywords: Combinatorial Geometry, Algebraic Geometry, Incidences, The Polynomial Method} }
Orit E. Raz and Micha Sharir. The Number of Unit-Area Triangles in the Plane: Theme and Variations. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 569-583, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{raz_et_al:LIPIcs.SOCG.2015.569, author = {Raz, Orit E. and Sharir, Micha}, title = {{The Number of Unit-Area Triangles in the Plane: Theme and Variations}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {569--583}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.569}, URN = {urn:nbn:de:0030-drops-51125}, doi = {10.4230/LIPIcs.SOCG.2015.569}, annote = {Keywords: Combinatorial geometry, incidences, repeated configurations} }
Zeev Dvir and Sivakanth Gopi. On the Number of Rich Lines in Truly High Dimensional Sets. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 584-598, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{dvir_et_al:LIPIcs.SOCG.2015.584, author = {Dvir, Zeev and Gopi, Sivakanth}, title = {{On the Number of Rich Lines in Truly High Dimensional Sets}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {584--598}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.584}, URN = {urn:nbn:de:0030-drops-51110}, doi = {10.4230/LIPIcs.SOCG.2015.584}, annote = {Keywords: Incidences, Combinatorial Geometry, Designs, Polynomial Method, Additive Combinatorics} }
Michael Gene Dobbins, Andreas Holmsen, and Alfredo Hubard. Realization Spaces of Arrangements of Convex Bodies. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 599-614, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{dobbins_et_al:LIPIcs.SOCG.2015.599, author = {Dobbins, Michael Gene and Holmsen, Andreas and Hubard, Alfredo}, title = {{Realization Spaces of Arrangements of Convex Bodies}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {599--614}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.599}, URN = {urn:nbn:de:0030-drops-51020}, doi = {10.4230/LIPIcs.SOCG.2015.599}, annote = {Keywords: Oriented matroids, Convex sets, Realization spaces, Mnev’s universality theorem} }
Mayank Goswami, Xianfeng Gu, Vamsi P. Pingali, and Gaurish Telang. Computing Teichmüller Maps between Polygons. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 615-629, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{goswami_et_al:LIPIcs.SOCG.2015.615, author = {Goswami, Mayank and Gu, Xianfeng and Pingali, Vamsi P. and Telang, Gaurish}, title = {{Computing Teichm\"{u}ller Maps between Polygons}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {615--629}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.615}, URN = {urn:nbn:de:0030-drops-50997}, doi = {10.4230/LIPIcs.SOCG.2015.615}, annote = {Keywords: Teichm\"{u}ller maps, Surface registration, Extremal Quasiconformal maps, Computer vision} }
Stefan Felsner, Piotr Micek, and Torsten Ueckerdt. On-line Coloring between Two Lines. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 630-641, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{felsner_et_al:LIPIcs.SOCG.2015.630, author = {Felsner, Stefan and Micek, Piotr and Ueckerdt, Torsten}, title = {{On-line Coloring between Two Lines}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {630--641}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.630}, URN = {urn:nbn:de:0030-drops-50915}, doi = {10.4230/LIPIcs.SOCG.2015.630}, annote = {Keywords: intersection graphs, cocomparability graphs, on-line coloring} }
Jean-Daniel Boissonnat, Karthik C. S., and Sébastien Tavenas. Building Efficient and Compact Data Structures for Simplicial Complexes. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 642-657, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{boissonnat_et_al:LIPIcs.SOCG.2015.642, author = {Boissonnat, Jean-Daniel and S., Karthik C. and Tavenas, S\'{e}bastien}, title = {{Building Efficient and Compact Data Structures for Simplicial Complexes}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {642--657}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.642}, URN = {urn:nbn:de:0030-drops-50981}, doi = {10.4230/LIPIcs.SOCG.2015.642}, annote = {Keywords: Simplicial complex, Compact data structures, Automaton, NP-hard} }
Esther M. Arkin, Alon Efrat, Christian Knauer, Joseph S. B. Mitchell, Valentin Polishchuk, Günter Rote, Lena Schlipf, and Topi Talvitie. Shortest Path to a Segment and Quickest Visibility Queries. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 658-673, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{arkin_et_al:LIPIcs.SOCG.2015.658, author = {Arkin, Esther M. and Efrat, Alon and Knauer, Christian and Mitchell, Joseph S. B. and Polishchuk, Valentin and Rote, G\"{u}nter and Schlipf, Lena and Talvitie, Topi}, title = {{Shortest Path to a Segment and Quickest Visibility Queries}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {658--673}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.658}, URN = {urn:nbn:de:0030-drops-51474}, doi = {10.4230/LIPIcs.SOCG.2015.658}, annote = {Keywords: path planning, visibility, query structures and complexity, persistent data structures, continuous Dijkstra} }
Irina Kostitsyna, Marc van Kreveld, Maarten Löffler, Bettina Speckmann, and Frank Staals. Trajectory Grouping Structure under Geodesic Distance. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 674-688, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{kostitsyna_et_al:LIPIcs.SOCG.2015.674, author = {Kostitsyna, Irina and van Kreveld, Marc and L\"{o}ffler, Maarten and Speckmann, Bettina and Staals, Frank}, title = {{Trajectory Grouping Structure under Geodesic Distance}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {674--688}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.674}, URN = {urn:nbn:de:0030-drops-51212}, doi = {10.4230/LIPIcs.SOCG.2015.674}, annote = {Keywords: moving entities, trajectories, grouping, computational geometry} }
Hsien-Chih Chang, Sariel Har-Peled, and Benjamin Raichel. From Proximity to Utility: A Voronoi Partition of Pareto Optima. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 689-703, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{chang_et_al:LIPIcs.SOCG.2015.689, author = {Chang, Hsien-Chih and Har-Peled, Sariel and Raichel, Benjamin}, title = {{From Proximity to Utility: A Voronoi Partition of Pareto Optima}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {689--703}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.689}, URN = {urn:nbn:de:0030-drops-50925}, doi = {10.4230/LIPIcs.SOCG.2015.689}, annote = {Keywords: Voronoi diagrams, expected complexity, backward analysis, Pareto optima, candidate diagram, Clarkson-Shor technique} }
Daniel Dadush. Faster Deterministic Volume Estimation in the Oracle Model via Thin Lattice Coverings. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 704-718, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{dadush:LIPIcs.SOCG.2015.704, author = {Dadush, Daniel}, title = {{Faster Deterministic Volume Estimation in the Oracle Model via Thin Lattice Coverings}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {704--718}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.704}, URN = {urn:nbn:de:0030-drops-51168}, doi = {10.4230/LIPIcs.SOCG.2015.704}, annote = {Keywords: Deterministic Volume Estimation, Convex Geometry, Lattice Coverings of Space, Lattice Point Enumeration} }
Timothy M. Chan and Konstantinos Tsakalidis. Optimal Deterministic Algorithms for 2-d and 3-d Shallow Cuttings. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 719-732, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{chan_et_al:LIPIcs.SOCG.2015.719, author = {Chan, Timothy M. and Tsakalidis, Konstantinos}, title = {{Optimal Deterministic Algorithms for 2-d and 3-d Shallow Cuttings}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {719--732}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.719}, URN = {urn:nbn:de:0030-drops-51353}, doi = {10.4230/LIPIcs.SOCG.2015.719}, annote = {Keywords: shallow cuttings, derandomization, halfspace range reporting, geometric data structures} }
Timothy M. Chan. A Simpler Linear-Time Algorithm for Intersecting Two Convex Polyhedra in Three Dimensions. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 733-738, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{chan:LIPIcs.SOCG.2015.733, author = {Chan, Timothy M.}, title = {{A Simpler Linear-Time Algorithm for Intersecting Two Convex Polyhedra in Three Dimensions}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {733--738}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.733}, URN = {urn:nbn:de:0030-drops-51415}, doi = {10.4230/LIPIcs.SOCG.2015.733}, annote = {Keywords: convex polyhedra, intersection, Dobkin–Kirkpatrick hierarchy} }
Karl Bringmann and Wolfgang Mulzer. Approximability of the Discrete Fréchet Distance. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 739-753, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{bringmann_et_al:LIPIcs.SOCG.2015.739, author = {Bringmann, Karl and Mulzer, Wolfgang}, title = {{Approximability of the Discrete Fr\'{e}chet Distance}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {739--753}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.739}, URN = {urn:nbn:de:0030-drops-51072}, doi = {10.4230/LIPIcs.SOCG.2015.739}, annote = {Keywords: Fr\'{e}chet distance, approximation, lower bounds, Strong Exponential Time Hypothesis} }
Pranjal Awasthi, Moses Charikar, Ravishankar Krishnaswamy, and Ali Kemal Sinop. The Hardness of Approximation of Euclidean k-Means. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 754-767, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{awasthi_et_al:LIPIcs.SOCG.2015.754, author = {Awasthi, Pranjal and Charikar, Moses and Krishnaswamy, Ravishankar and Sinop, Ali Kemal}, title = {{The Hardness of Approximation of Euclidean k-Means}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {754--767}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.754}, URN = {urn:nbn:de:0030-drops-51178}, doi = {10.4230/LIPIcs.SOCG.2015.754}, annote = {Keywords: Euclidean k-means, Hardness of Approximation, Vertex Cover} }
Rolf Klein, Elmar Langetepe, and Christos Levcopoulos. A Fire Fighter’s Problem. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 768-780, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{klein_et_al:LIPIcs.SOCG.2015.768, author = {Klein, Rolf and Langetepe, Elmar and Levcopoulos, Christos}, title = {{A Fire Fighter’s Problem}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {768--780}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.768}, URN = {urn:nbn:de:0030-drops-51044}, doi = {10.4230/LIPIcs.SOCG.2015.768}, annote = {Keywords: Motion Planning, Dynamic Environments, Spiralling strategies, Lower and upper bounds} }
Sunil Arya, David M. Mount, and Eunhui Park. Approximate Geometric MST Range Queries. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 781-795, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{arya_et_al:LIPIcs.SOCG.2015.781, author = {Arya, Sunil and Mount, David M. and Park, Eunhui}, title = {{Approximate Geometric MST Range Queries}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {781--795}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.781}, URN = {urn:nbn:de:0030-drops-51233}, doi = {10.4230/LIPIcs.SOCG.2015.781}, annote = {Keywords: Geometric data structures, Minimum spanning trees, Range searching, Approximation algorithms} }
Pankaj K. Agarwal, Thomas Mølhave, Morten Revsbæk, Issam Safa, Yusu Wang, and Jungwoo Yang. Maintaining Contour Trees of Dynamic Terrains. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 796-811, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{agarwal_et_al:LIPIcs.SOCG.2015.796, author = {Agarwal, Pankaj K. and M{\o}lhave, Thomas and Revsb{\ae}k, Morten and Safa, Issam and Wang, Yusu and Yang, Jungwoo}, title = {{Maintaining Contour Trees of Dynamic Terrains}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {796--811}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.796}, URN = {urn:nbn:de:0030-drops-51406}, doi = {10.4230/LIPIcs.SOCG.2015.796}, annote = {Keywords: Contour tree, dynamic terrain, kinetic data structure} }
Arie Bos and Herman J. Haverkort. Hyperorthogonal Well-Folded Hilbert Curves. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 812-826, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{bos_et_al:LIPIcs.SOCG.2015.812, author = {Bos, Arie and Haverkort, Herman J.}, title = {{Hyperorthogonal Well-Folded Hilbert Curves}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {812--826}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.812}, URN = {urn:nbn:de:0030-drops-50962}, doi = {10.4230/LIPIcs.SOCG.2015.812}, annote = {Keywords: space-filling curve, Hilbert curve, multi-dimensional, range query, R-tree} }
Mickaël Buchet, Frédéric Chazal, Tamal K. Dey, Fengtao Fan, Steve Y. Oudot, and Yusu Wang. Topological Analysis of Scalar Fields with Outliers. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 827-841, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{buchet_et_al:LIPIcs.SOCG.2015.827, author = {Buchet, Micka\"{e}l and Chazal, Fr\'{e}d\'{e}ric and Dey, Tamal K. and Fan, Fengtao and Oudot, Steve Y. and Wang, Yusu}, title = {{Topological Analysis of Scalar Fields with Outliers}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {827--841}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.827}, URN = {urn:nbn:de:0030-drops-51052}, doi = {10.4230/LIPIcs.SOCG.2015.827}, annote = {Keywords: Persistent Homology, Topological Data Analysis, Scalar Field Analysis, Nested Rips Filtration, Distance to a Measure} }
Peter Franek and Marek Krcál. On Computability and Triviality of Well Groups. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 842-856, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{franek_et_al:LIPIcs.SOCG.2015.842, author = {Franek, Peter and Krc\'{a}l, Marek}, title = {{On Computability and Triviality of Well Groups}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {842--856}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.842}, URN = {urn:nbn:de:0030-drops-51159}, doi = {10.4230/LIPIcs.SOCG.2015.842}, annote = {Keywords: nonlinear equations, robustness, well groups, computation, homotopy theory} }
Jeff M. Phillips, Bei Wang, and Yan Zheng. Geometric Inference on Kernel Density Estimates. In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, pp. 857-871, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{phillips_et_al:LIPIcs.SOCG.2015.857, author = {Phillips, Jeff M. and Wang, Bei and Zheng, Yan}, title = {{Geometric Inference on Kernel Density Estimates}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {857--871}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.857}, URN = {urn:nbn:de:0030-drops-51349}, doi = {10.4230/LIPIcs.SOCG.2015.857}, annote = {Keywords: topological data analysis, kernel density estimate, kernel distance} }
Susanne Albers. Modeling Real-World Data Sets (Invited Talk). In 31st International Symposium on Computational Geometry (SoCG 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 34, p. 872, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
@InProceedings{albers:LIPIcs.SOCG.2015.872, author = {Albers, Susanne}, title = {{Modeling Real-World Data Sets}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {872--872}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.872}, URN = {urn:nbn:de:0030-drops-50865}, doi = {10.4230/LIPIcs.SOCG.2015.872}, annote = {Keywords: Worst-case analysis, real data sets, locality of reference, paging, self-organizing lists} }
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