{"id":"https://openalex.org/W4376639480","doi":"https://doi.org/10.1145/3564246.3585210","title":"A Borsuk-Ulam Lower Bound for Sign-Rank and Its Applications","display_name":"A Borsuk-Ulam Lower Bound for Sign-Rank and Its Applications","publication_year":2023,"publication_date":"2023-05-16","ids":{"openalex":"https://openalex.org/W4376639480","doi":"https://doi.org/10.1145/3564246.3585210"},"language":"en","primary_location":{"id":"doi:10.1145/3564246.3585210","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3564246.3585210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 55th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084547602","display_name":"Hamed Hatami","orcid":"https://orcid.org/0000-0002-4732-434X"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Hamed Hatami","raw_affiliation_strings":["McGill University, Canada"],"affiliations":[{"raw_affiliation_string":"McGill University, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031330663","display_name":"Kaave Hosseini","orcid":"https://orcid.org/0000-0002-3497-3500"},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kaave Hosseini","raw_affiliation_strings":["University of Rochester, USA"],"affiliations":[{"raw_affiliation_string":"University of Rochester, USA","institution_ids":["https://openalex.org/I5388228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069084711","display_name":"Xiang Meng","orcid":"https://orcid.org/0000-0002-2998-5101"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Xiang Meng","raw_affiliation_strings":["McGill University, Canada"],"affiliations":[{"raw_affiliation_string":"McGill University, Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084547602"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":0.4041,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62912424,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"463","last_page":"471"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.8033342957496643},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7650923728942871},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.7291933298110962},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7284848690032959},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6734607815742493},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4875034987926483},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36249810457229614},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3609575033187866},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13663864135742188},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.05716618895530701}],"concepts":[{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.8033342957496643},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7650923728942871},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.7291933298110962},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7284848690032959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6734607815742493},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4875034987926483},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36249810457229614},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3609575033187866},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13663864135742188},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.05716618895530701},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3564246.3585210","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3564246.3585210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 55th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W106288804","https://openalex.org/W605043455","https://openalex.org/W607505555","https://openalex.org/W1492459858","https://openalex.org/W1516726196","https://openalex.org/W1800460930","https://openalex.org/W1965748471","https://openalex.org/W1970169765","https://openalex.org/W1984126159","https://openalex.org/W2006822886","https://openalex.org/W2027697499","https://openalex.org/W2038378199","https://openalex.org/W2040870580","https://openalex.org/W2088263428","https://openalex.org/W2117822564","https://openalex.org/W2122058331","https://openalex.org/W2123750718","https://openalex.org/W2140283251","https://openalex.org/W2143355494","https://openalex.org/W2164184339","https://openalex.org/W2295580398","https://openalex.org/W2547369620","https://openalex.org/W2551387064","https://openalex.org/W2604847700","https://openalex.org/W2908172499","https://openalex.org/W2908369137","https://openalex.org/W2912462513","https://openalex.org/W2963208722","https://openalex.org/W2964232420","https://openalex.org/W2972929427","https://openalex.org/W4214900309","https://openalex.org/W4248027268","https://openalex.org/W4285230523"],"related_works":["https://openalex.org/W3008380943","https://openalex.org/W2115206405","https://openalex.org/W4387718383","https://openalex.org/W1528986568","https://openalex.org/W2500746363","https://openalex.org/W2062799661","https://openalex.org/W2347954438","https://openalex.org/W2071460425","https://openalex.org/W2170067308","https://openalex.org/W2804199312"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,13],"new":[3],"topological":[4],"argument":[5],"based":[6],"on":[7,16],"the":[8],"Borsuk-Ulam":[9],"theorem":[10],"to":[11],"prove":[12],"lower":[14],"bound":[15],"sign-rank.":[17]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
