@InProceedings{edelsbrunner_et_al:LIPIcs.SoCG.2024.53, author = {Edelsbrunner, Herbert and Pach, J\'{a}nos}, title = {{Maximum Betti Numbers of \v{C}ech Complexes}}, booktitle = {40th International Symposium on Computational Geometry (SoCG 2024)}, pages = {53:1--53:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-316-4}, ISSN = {1868-8969}, year = {2024}, volume = {293}, editor = {Mulzer, Wolfgang and Phillips, Jeff M.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2024.53}, URN = {urn:nbn:de:0030-drops-199981}, doi = {10.4230/LIPIcs.SoCG.2024.53}, annote = {Keywords: Discrete geometry, computational topology, \v{C}ech complexes, Delaunay mosaics, Alpha complexes, Betti numbers, extremal questions} }