@InProceedings{suk_et_al:LIPIcs.SoCG.2022.62, author = {Suk, Andrew and Zeng, Ji}, title = {{A Positive Fraction Erd\H{o}s-Szekeres Theorem and Its Applications}}, booktitle = {38th International Symposium on Computational Geometry (SoCG 2022)}, pages = {62:1--62:15}, 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.2022.62}, URN = {urn:nbn:de:0030-drops-160703}, doi = {10.4230/LIPIcs.SoCG.2022.62}, annote = {Keywords: Erd\H{o}s-Szekeres, block-monotone, monotone biarc diagrams, mutually avoiding sets} }