{"id":"https://openalex.org/W2045520592","doi":"https://doi.org/10.1137/s0895480100366968","title":"Complexes of<i>t</i>-Colorable Graphs","display_name":"Complexes of<i>t</i>-Colorable Graphs","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2045520592","doi":"https://doi.org/10.1137/s0895480100366968","mag":"2045520592"},"language":"he","primary_location":{"id":"doi:10.1137/s0895480100366968","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480100366968","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-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/A5031800301","display_name":"Svante Linusson","orcid":"https://orcid.org/0000-0001-6339-2230"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Svante Linusson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5083294700","display_name":"John Shareshian","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John Shareshian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.092,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.77507339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"16","issue":"3","first_page":"371","last_page":"389"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8761746883392334},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7885880470275879},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.7687981128692627},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.5805332064628601},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.48644018173217773},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4815843105316162},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45900604128837585},{"id":"https://openalex.org/keywords/wedge","display_name":"Wedge (geometry)","score":0.4236086905002594},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4039596915245056},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14120277762413025},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06081482768058777}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8761746883392334},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7885880470275879},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.7687981128692627},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.5805332064628601},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.48644018173217773},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4815843105316162},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45900604128837585},{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.4236086905002594},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4039596915245056},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14120277762413025},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06081482768058777}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0895480100366968","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480100366968","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1511577203","https://openalex.org/W1551177513","https://openalex.org/W1556676331","https://openalex.org/W1562489980","https://openalex.org/W1966167835","https://openalex.org/W1977783526","https://openalex.org/W1992253452","https://openalex.org/W1994715527","https://openalex.org/W2001690459","https://openalex.org/W2045097502","https://openalex.org/W2048412206","https://openalex.org/W2051334793","https://openalex.org/W2057346848","https://openalex.org/W2062427655","https://openalex.org/W2064020260","https://openalex.org/W2080774348","https://openalex.org/W2334666374","https://openalex.org/W2588193040","https://openalex.org/W2911463656","https://openalex.org/W2952291000","https://openalex.org/W4253062234"],"related_works":["https://openalex.org/W2017385525","https://openalex.org/W2042698599","https://openalex.org/W1999187231","https://openalex.org/W4248634293","https://openalex.org/W2351605363","https://openalex.org/W4360104573","https://openalex.org/W2101482869","https://openalex.org/W3034499888","https://openalex.org/W1970006753","https://openalex.org/W4287759975"],"abstract_inverted_index":{"We":[0,11,33],"study":[1],"the":[2],"simplicial":[3],"complex":[4,14],"of":[5,21,24],"t-colorable":[6],"graphs":[7],"on":[8],"n":[9],"vertices.":[10],"prove":[12],"this":[13],"is":[15],"homotopy":[16,38],"equivalent":[17],"to":[18],"a":[19,37],"wedge":[20],"spheres":[22],"all":[23],"dimension":[25],"$n(t-1)-\\binom{t}{2}-1$":[26],"when":[27,30],"t=2":[28],"and":[29,46],"$t\\ge":[31],"n-3$.":[32],"show":[34],"that":[35],"such":[36],"equivalence":[39],"does":[40],"not":[41],"hold":[42],"for":[43],"general":[44],"t":[45],"n.":[47]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}