@InProceedings{liu_et_al:LIPIcs.SoCG.2024.71, author = {Liu, Hong and Shangguan, Chong and Skokan, Jozef and Xu, Zixiang}, title = {{Beyond Chromatic Threshold via (p,q)-Theorem, and Blow-Up Phenomenon}}, booktitle = {40th International Symposium on Computational Geometry (SoCG 2024)}, pages = {71:1--71:15}, 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.2024.71}, URN = {urn:nbn:de:0030-drops-200162}, doi = {10.4230/LIPIcs.SoCG.2024.71}, annote = {Keywords: (p,q)-theorem, fractional Helly number, weak \epsilon-net, chromatic threshold, VC dimension} }