Published in: LIPIcs, Volume 258, 39th International Symposium on Computational Geometry (SoCG 2023)
Evanthia Papadopoulou. Abstract Voronoi-Like Graphs: Extending Delaunay’s Theorem and Applications. In 39th International Symposium on Computational Geometry (SoCG 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 258, pp. 52:1-52:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2023)
@InProceedings{papadopoulou:LIPIcs.SoCG.2023.52, author = {Papadopoulou, Evanthia}, title = {{Abstract Voronoi-Like Graphs: Extending Delaunay’s Theorem and Applications}}, booktitle = {39th International Symposium on Computational Geometry (SoCG 2023)}, pages = {52:1--52:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-273-0}, ISSN = {1868-8969}, year = {2023}, volume = {258}, editor = {Chambers, Erin W. and Gudmundsson, Joachim}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2023.52}, URN = {urn:nbn:de:0030-drops-179024}, doi = {10.4230/LIPIcs.SoCG.2023.52}, annote = {Keywords: Voronoi-like graph, abstract Voronoi diagram, Delaunay’s theorem, Voronoi tree, linear-time randomized algorithm, constraint Delaunay triangulation} }
Published in: LIPIcs, Volume 224, 38th International Symposium on Computational Geometry (SoCG 2022)
Ioannis Mantas, Evanthia Papadopoulou, Martin Suderland, and Chee Yap. Subdivision Methods for Sum-Of-Distances Problems: Fermat-Weber Point, n-Ellipses and the Min-Sum Cluster Voronoi Diagram (Media Exposition). In 38th International Symposium on Computational Geometry (SoCG 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 224, pp. 69:1-69:6, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2022)
@InProceedings{mantas_et_al:LIPIcs.SoCG.2022.69, author = {Mantas, Ioannis and Papadopoulou, Evanthia and Suderland, Martin and Yap, Chee}, title = {{Subdivision Methods for Sum-Of-Distances Problems: Fermat-Weber Point, n-Ellipses and the Min-Sum Cluster Voronoi Diagram}}, booktitle = {38th International Symposium on Computational Geometry (SoCG 2022)}, pages = {69:1--69:6}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-227-3}, ISSN = {1868-8969}, year = {2022}, volume = {224}, editor = {Goaoc, Xavier and Kerber, Michael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2022.69}, URN = {urn:nbn:de:0030-drops-160773}, doi = {10.4230/LIPIcs.SoCG.2022.69}, annote = {Keywords: Fermat point, geometric median, Weber point, Fermat distance, sum of distances, n-ellipse, multifocal ellipse, min-sum Voronoi diagram, cluster Voronoi diagram} }
Published in: LIPIcs, Volume 212, 32nd International Symposium on Algorithms and Computation (ISAAC 2021)
Franz Aurenhammer, Evanthia Papadopoulou, and Martin Suderland. Piecewise-Linear Farthest-Site Voronoi Diagrams. In 32nd International Symposium on Algorithms and Computation (ISAAC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 212, pp. 30:1-30:11, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)
@InProceedings{aurenhammer_et_al:LIPIcs.ISAAC.2021.30, author = {Aurenhammer, Franz and Papadopoulou, Evanthia and Suderland, Martin}, title = {{Piecewise-Linear Farthest-Site Voronoi Diagrams}}, booktitle = {32nd International Symposium on Algorithms and Computation (ISAAC 2021)}, pages = {30:1--30:11}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-214-3}, ISSN = {1868-8969}, year = {2021}, volume = {212}, editor = {Ahn, Hee-Kap and Sadakane, Kunihiko}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2021.30}, URN = {urn:nbn:de:0030-drops-154633}, doi = {10.4230/LIPIcs.ISAAC.2021.30}, annote = {Keywords: Voronoi diagram, farthest-site, polyhedral distance, polyhedral sites, general dimensions} }
Published in: LIPIcs, Volume 204, 29th Annual European Symposium on Algorithms (ESA 2021)
Carlos Alegría, Ioannis Mantas, Evanthia Papadopoulou, Marko Savić, Hendrik Schrezenmaier, Carlos Seara, and Martin Suderland. The Voronoi Diagram of Rotating Rays With applications to Floodlight Illumination. In 29th Annual European Symposium on Algorithms (ESA 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 204, pp. 5:1-5:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)
@InProceedings{alegria_et_al:LIPIcs.ESA.2021.5, author = {Alegr{\'\i}a, Carlos and Mantas, Ioannis and Papadopoulou, Evanthia and Savi\'{c}, Marko and Schrezenmaier, Hendrik and Seara, Carlos and Suderland, Martin}, title = {{The Voronoi Diagram of Rotating Rays With applications to Floodlight Illumination}}, booktitle = {29th Annual European Symposium on Algorithms (ESA 2021)}, pages = {5:1--5:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-204-4}, ISSN = {1868-8969}, year = {2021}, volume = {204}, editor = {Mutzel, Petra and Pagh, Rasmus and Herman, Grzegorz}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2021.5}, URN = {urn:nbn:de:0030-drops-145865}, doi = {10.4230/LIPIcs.ESA.2021.5}, annote = {Keywords: rotating rays, Voronoi diagram, oriented angular distance, Brocard angle, floodlight illumination, coverage problems, art gallery problems} }
Published in: LIPIcs, Volume 204, 29th Annual European Symposium on Algorithms (ESA 2021)
Kolja Junginger, Ioannis Mantas, Evanthia Papadopoulou, Martin Suderland, and Chee Yap. Certified Approximation Algorithms for the Fermat Point and n-Ellipses. In 29th Annual European Symposium on Algorithms (ESA 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 204, pp. 54:1-54:19, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)
@InProceedings{junginger_et_al:LIPIcs.ESA.2021.54, author = {Junginger, Kolja and Mantas, Ioannis and Papadopoulou, Evanthia and Suderland, Martin and Yap, Chee}, title = {{Certified Approximation Algorithms for the Fermat Point and n-Ellipses}}, booktitle = {29th Annual European Symposium on Algorithms (ESA 2021)}, pages = {54:1--54:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-204-4}, ISSN = {1868-8969}, year = {2021}, volume = {204}, editor = {Mutzel, Petra and Pagh, Rasmus and Herman, Grzegorz}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2021.54}, URN = {urn:nbn:de:0030-drops-146359}, doi = {10.4230/LIPIcs.ESA.2021.54}, annote = {Keywords: Fermat point, n-ellipse, subdivision, approximation, certified, algorithms} }
Published in: LIPIcs, Volume 173, 28th Annual European Symposium on Algorithms (ESA 2020)
Man-Kwun Chiu, Matias Korman, Martin Suderland, and Takeshi Tokuyama. Distance Bounds for High Dimensional Consistent Digital Rays and 2-D Partially-Consistent Digital Rays. In 28th Annual European Symposium on Algorithms (ESA 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 173, pp. 34:1-34:22, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2020)
@InProceedings{chiu_et_al:LIPIcs.ESA.2020.34, author = {Chiu, Man-Kwun and Korman, Matias and Suderland, Martin and Tokuyama, Takeshi}, title = {{Distance Bounds for High Dimensional Consistent Digital Rays and 2-D Partially-Consistent Digital Rays}}, booktitle = {28th Annual European Symposium on Algorithms (ESA 2020)}, pages = {34:1--34:22}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-162-7}, ISSN = {1868-8969}, year = {2020}, volume = {173}, editor = {Grandoni, Fabrizio and Herman, Grzegorz and Sanders, Peter}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2020.34}, URN = {urn:nbn:de:0030-drops-129002}, doi = {10.4230/LIPIcs.ESA.2020.34}, annote = {Keywords: Consistent Digital Line Segments, Digital Geometry, Discrepancy} }
Published in: LIPIcs, Volume 149, 30th International Symposium on Algorithms and Computation (ISAAC 2019)
Gill Barequet, Evanthia Papadopoulou, and Martin Suderland. Unbounded Regions of High-Order Voronoi Diagrams of Lines and Segments in Higher Dimensions. In 30th International Symposium on Algorithms and Computation (ISAAC 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 149, pp. 62:1-62:15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2019)
@InProceedings{barequet_et_al:LIPIcs.ISAAC.2019.62, author = {Barequet, Gill and Papadopoulou, Evanthia and Suderland, Martin}, title = {{Unbounded Regions of High-Order Voronoi Diagrams of Lines and Segments in Higher Dimensions}}, booktitle = {30th International Symposium on Algorithms and Computation (ISAAC 2019)}, pages = {62:1--62:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-130-6}, ISSN = {1868-8969}, year = {2019}, volume = {149}, editor = {Lu, Pinyan and Zhang, Guochuan}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2019.62}, URN = {urn:nbn:de:0030-drops-115582}, doi = {10.4230/LIPIcs.ISAAC.2019.62}, annote = {Keywords: Voronoi diagram, lines, line segments, higher-order, order-k, unbounded, hypersphere arrangement, great hyperspheres} }
Published in: LIPIcs, Volume 99, 34th International Symposium on Computational Geometry (SoCG 2018)
Kolja Junginger and Evanthia Papadopoulou. Deletion in Abstract Voronoi Diagrams in Expected Linear Time. In 34th International Symposium on Computational Geometry (SoCG 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 99, pp. 50:1-50:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
@InProceedings{junginger_et_al:LIPIcs.SoCG.2018.50, author = {Junginger, Kolja and Papadopoulou, Evanthia}, title = {{Deletion in Abstract Voronoi Diagrams in Expected Linear Time}}, booktitle = {34th International Symposium on Computational Geometry (SoCG 2018)}, pages = {50:1--50:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-066-8}, ISSN = {1868-8969}, year = {2018}, volume = {99}, editor = {Speckmann, Bettina and T\'{o}th, Csaba D.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2018.50}, URN = {urn:nbn:de:0030-drops-87639}, doi = {10.4230/LIPIcs.SoCG.2018.50}, annote = {Keywords: Abstract Voronoi diagram, linear-time algorithm, update after deletion, randomized incremental algorithm} }
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