{"id":"https://openalex.org/W2058283636","doi":"https://doi.org/10.1142/s1793830910000772","title":"HAJ\u00d3S-LIKE THEOREM FOR GROUP COLORING","display_name":"HAJ\u00d3S-LIKE THEOREM FOR GROUP COLORING","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2058283636","doi":"https://doi.org/10.1142/s1793830910000772","mag":"2058283636"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830910000772","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830910000772","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5015624868","display_name":"Xinhui An","orcid":"https://orcid.org/0000-0003-2048-0497"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"XINHUI AN","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China","College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P. R. China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052810463","display_name":"Baoyindureng Wu","orcid":"https://orcid.org/0000-0001-7164-3116"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"BAOYINDURENG WU","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China","College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P. R. China","institution_ids":["https://openalex.org/I96908189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I96908189"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.13477733,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"02","issue":"03","first_page":"433","last_page":"436"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9995999932289124,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7828488349914551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6231200098991394},{"id":"https://openalex.org/keywords/edge-transitive-graph","display_name":"Edge-transitive graph","score":0.5847558975219727},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.5835675001144409},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5424699187278748},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.5321449637413025},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.518191397190094},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5065206289291382},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.47674760222435},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.4678996801376343},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.21728023886680603}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7828488349914551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6231200098991394},{"id":"https://openalex.org/C200597783","wikidata":"https://www.wikidata.org/wiki/Q4391289","display_name":"Edge-transitive graph","level":5,"score":0.5847558975219727},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.5835675001144409},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5424699187278748},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.5321449637413025},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.518191397190094},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5065206289291382},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.47674760222435},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.4678996801376343},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.21728023886680603}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830910000772","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830910000772","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W146573071","https://openalex.org/W1484040084","https://openalex.org/W1990070825","https://openalex.org/W2023859733","https://openalex.org/W2056860914","https://openalex.org/W2072421385","https://openalex.org/W2093295834"],"related_works":["https://openalex.org/W4255910752","https://openalex.org/W3150304134","https://openalex.org/W398688634","https://openalex.org/W4296859768","https://openalex.org/W1995859989","https://openalex.org/W3177216142","https://openalex.org/W4285129421","https://openalex.org/W2357418035","https://openalex.org/W2774090050","https://openalex.org/W2603175250"],"abstract_inverted_index":{"The":[0],"group":[1,21],"coloring":[2],"of":[3,9,24,71],"graphs":[4],"is":[5,28],"a":[6,25,41,45],"new":[7],"kind":[8],"graph":[10,26,46,59,72],"coloring,":[11],"introduced":[12],"by":[13,30,68],"Jaeger":[14],"et":[15],"al.":[16],"in":[17],"1992,":[18],"and":[19],"the":[20],"chromatic":[22],"number":[23],"G":[27,47,60],"denoted":[29],"\u03c7":[31,49,63],"g":[32,50,64],"(G).":[33],"In":[34],"this":[35],"note,":[36],"we":[37],"prove":[38],"that":[39],"for":[40],"positive":[42],"integer":[43],"k,":[44],"with":[48,62],"(G)>k":[51],"can":[52],"be":[53],"obtained":[54],"from":[55],"any":[56],"complete":[57],"bipartite":[58],"0":[61,66],"(G":[65],")>k":[67],"certain":[69],"types":[70],"operations.":[73]},"counts_by_year":[{"year":2017,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}