@Proceedings{ward:LIPIcs.AofA.2022, title = {{LIPIcs, Volume 225, AofA 2022, Complete Volume}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {1--300}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022}, URN = {urn:nbn:de:0030-drops-160857}, doi = {10.4230/LIPIcs.AofA.2022}, annote = {Keywords: LIPIcs, Volume 225, AofA 2022, Complete Volume} } @InProceedings{ward:LIPIcs.AofA.2022.0, author = {Ward, Mark Daniel}, title = {{Front Matter, Table of Contents, Preface, Conference Organization}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {0:i--0:xvi}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.0}, URN = {urn:nbn:de:0030-drops-160866}, doi = {10.4230/LIPIcs.AofA.2022.0}, annote = {Keywords: Front Matter, Table of Contents, Preface, Conference Organization} } @InProceedings{akhavi_et_al:LIPIcs.AofA.2022.1, author = {Akhavi, Ali and Paccaut, Fr\'{e}deric and Vall\'{e}e, Brigitte}, title = {{Building Sources of Zero Entropy: Rescaling and Inserting Delays}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {1:1--1:28}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.1}, URN = {urn:nbn:de:0030-drops-160879}, doi = {10.4230/LIPIcs.AofA.2022.1}, annote = {Keywords: Information Theory, Probabilistic analysis of sources, Sources with zero-entropy, Analytic combinatorics, Dirichlet generating functions, Transfer operator, Trie structure, Continued fraction expansion, Rice method, Quasi-power Theorem} } @InProceedings{bellin:LIPIcs.AofA.2022.2, author = {Bellin, Etienne}, title = {{On the Independence Number of Random Trees via Tricolourations}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {2:1--2:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.2}, URN = {urn:nbn:de:0030-drops-160886}, doi = {10.4230/LIPIcs.AofA.2022.2}, annote = {Keywords: Independence number, simply generated tree, Galton-Watson tree, tricolouration} } @InProceedings{berzunzaojeda_et_al:LIPIcs.AofA.2022.3, author = {Berzunza Ojeda, Gabriel and Holmgren, Cecilia}, title = {{Fragmentation Processes Derived from Conditioned Stable Galton-Watson Trees}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {3:1--3:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.3}, URN = {urn:nbn:de:0030-drops-160898}, doi = {10.4230/LIPIcs.AofA.2022.3}, annote = {Keywords: Additive coalescent, fragmentation, Galton-Watson trees, spectrally positive stable L\'{e}vy processes, stable L\'{e}vy tree, Prim’s algorithm} } @InProceedings{burghart:LIPIcs.AofA.2022.4, author = {Burghart, Fabian}, title = {{A Modification of the Random Cutting Model}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {4:1--4:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.4}, URN = {urn:nbn:de:0030-drops-160903}, doi = {10.4230/LIPIcs.AofA.2022.4}, annote = {Keywords: Random cutting model, Random separation of graphs, Percolation} } @InProceedings{chang_et_al:LIPIcs.AofA.2022.5, author = {Chang, Yu-Sheng and Fuchs, Michael and Liu, Hexuan and Wallner, Michael and Yu, Guan-Ru}, title = {{Enumeration of d-Combining Tree-Child Networks}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {5:1--5:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.5}, URN = {urn:nbn:de:0030-drops-160914}, doi = {10.4230/LIPIcs.AofA.2022.5}, annote = {Keywords: Phylogenetic network, tree-child network, d-combining tree-child network, exact enumeration, asymptotic enumeration, reticulation node, limit law, stretched exponential} } @InProceedings{chapuy_et_al:LIPIcs.AofA.2022.6, author = {Chapuy, Guillaume and Louf, Baptiste and Walsh, Harriet}, title = {{Random Partitions Under the Plancherel-Hurwitz Measure, High Genus Hurwitz Numbers and Maps}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {6:1--6:12}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.6}, URN = {urn:nbn:de:0030-drops-160921}, doi = {10.4230/LIPIcs.AofA.2022.6}, annote = {Keywords: Random partitions, limit shapes, transposition factorisations, map enumeration, Hurwitz numbers, RSK algorithm, giant components} } @InProceedings{drmota_et_al:LIPIcs.AofA.2022.7, author = {Drmota, Michael and Hainzl, Eva-Maria}, title = {{Universal Properties of Catalytic Variable Equations}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {7:1--7:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.7}, URN = {urn:nbn:de:0030-drops-160930}, doi = {10.4230/LIPIcs.AofA.2022.7}, annote = {Keywords: catalytic equation, singular expansion, univeral asymptotics} } @InProceedings{duch_et_al:LIPIcs.AofA.2022.8, author = {Duch, Amalia and Mart{\'\i}nez, Conrado}, title = {{Partial Match Queries in Quad- K-d Trees}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {8:1--8:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.8}, URN = {urn:nbn:de:0030-drops-160949}, doi = {10.4230/LIPIcs.AofA.2022.8}, annote = {Keywords: Quadtree, Partial match queries, Associative queries, Multidimensional search, Analysis of algorithms} } @InProceedings{gao:LIPIcs.AofA.2022.9, author = {Gao, Zhicheng}, title = {{Improved Error Bounds for the Number of Irreducible Polynomials and Self-Reciprocal Irreducible Monic Polynomials with Prescribed Coefficients over a Finite Field}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {9:1--9:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.9}, URN = {urn:nbn:de:0030-drops-160958}, doi = {10.4230/LIPIcs.AofA.2022.9}, annote = {Keywords: finite fields, irreducible polynomials, prescribed coefficients, generating functions, Weil bounds, self-reciprocal} } @InProceedings{hackl_et_al:LIPIcs.AofA.2022.10, author = {Hackl, Benjamin and Panholzer, Alois and Wagner, Stephan}, title = {{Uncovering a Random Tree}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {10:1--10:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.10}, URN = {urn:nbn:de:0030-drops-160962}, doi = {10.4230/LIPIcs.AofA.2022.10}, annote = {Keywords: Labeled tree, uncover process, functional central limit theorem, limiting distribution, phase transition} } @InProceedings{jacquet_et_al:LIPIcs.AofA.2022.11, author = {Jacquet, Philippe and Janson, Svante}, title = {{Depth-First Search Performance in a Random Digraph with Geometric Degree Distribution}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {11:1--11:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.11}, URN = {urn:nbn:de:0030-drops-160978}, doi = {10.4230/LIPIcs.AofA.2022.11}, annote = {Keywords: Combinatorics, Depth-First Search, Random Digraphs} } @InProceedings{lumbroso_et_al:LIPIcs.AofA.2022.12, author = {Lumbroso, J\'{e}r\'{e}mie and Mart{\'\i}nez, Conrado}, title = {{Affirmative Sampling: Theory and Applications}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {12:1--12:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.12}, URN = {urn:nbn:de:0030-drops-160987}, doi = {10.4230/LIPIcs.AofA.2022.12}, annote = {Keywords: Data streams, Distinct sampling, Random sampling, Cardinality estimation, Analysis of algorithms} } @InProceedings{moreno_et_al:LIPIcs.AofA.2022.13, author = {Moreno, Bianca Marin and Fricker, Christine and Mohamed, Hanene and Philippe, Amaury and Tr\'{e}panier, Martin}, title = {{Mean Field Analysis of an Incentive Algorithm for a Closed Stochastic Network}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {13:1--13:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.13}, URN = {urn:nbn:de:0030-drops-160998}, doi = {10.4230/LIPIcs.AofA.2022.13}, annote = {Keywords: Large scale analysis, mean-field, car-sharing, incentive algorithm, stochastic network, cluster, load balancing, closed Jackson networks, product-form distribution} } @InProceedings{neininger_et_al:LIPIcs.AofA.2022.14, author = {Neininger, Ralph and Straub, Jasmin}, title = {{On the Contraction Method with Reduced Independence Assumptions}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {14:1--14:13}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.14}, URN = {urn:nbn:de:0030-drops-161008}, doi = {10.4230/LIPIcs.AofA.2022.14}, annote = {Keywords: Probabilistic Analysis of Algorithms, random Trees, weak Convergence, Probability Metrics, Contraction Method} } @InProceedings{nessmann:LIPIcs.AofA.2022.15, author = {Nessmann, Andreas}, title = {{Polyharmonic Functions in the Quarter Plane}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {15:1--15:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.15}, URN = {urn:nbn:de:0030-drops-161016}, doi = {10.4230/LIPIcs.AofA.2022.15}, annote = {Keywords: Polyharmonic functions, Functional equations, Lattice paths, Random walks, Brownian motion, Generating functions, Laplace transforms} } @InProceedings{olsson_et_al:LIPIcs.AofA.2022.16, author = {Olsson, Christoffer and Wagner, Stephan}, title = {{Automorphisms of Random Trees}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {16:1--16:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.16}, URN = {urn:nbn:de:0030-drops-161026}, doi = {10.4230/LIPIcs.AofA.2022.16}, annote = {Keywords: random tree, Galton-Watson tree, P\'{o}lya tree, automorphism group, central limit theorem} } @InProceedings{ralaivaosaona:LIPIcs.AofA.2022.17, author = {Ralaivaosaona, Dimbinaina}, title = {{The Number of Sources and Isolated Vertices in Random Directed Acyclic Graphs}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {17:1--17:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.17}, URN = {urn:nbn:de:0030-drops-161035}, doi = {10.4230/LIPIcs.AofA.2022.17}, annote = {Keywords: Directed acyclic graph, generating function, central limit theorem} } @InProceedings{yin:LIPIcs.AofA.2022.18, author = {Yin, Mei}, title = {{Parking Functions, Multi-Shuffle, and Asymptotic Phenomena}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {18:1--18:12}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.18}, URN = {urn:nbn:de:0030-drops-161041}, doi = {10.4230/LIPIcs.AofA.2022.18}, annote = {Keywords: Parking function, Multi-shuffle, Asymptotic expansion, Abel’s multinomial theorem} }