{"id":"https://openalex.org/W2111562002","doi":"https://doi.org/10.1002/jgt.3190130109","title":"Independence number, connectivity, and r\u2010factors","display_name":"Independence number, connectivity, and r\u2010factors","publication_year":1989,"publication_date":"1989-03-01","ids":{"openalex":"https://openalex.org/W2111562002","doi":"https://doi.org/10.1002/jgt.3190130109","mag":"2111562002"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190130109","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5105530789","display_name":"Tsuyoshi Nishimura","orcid":null},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tsuyoshi Nishimura","raw_affiliation_strings":["Department of Applied Mathematics Science University Of Tokyo Kagurazaka, Shinjuku\u2010Ku Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics Science University Of Tokyo Kagurazaka, Shinjuku\u2010Ku Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5105530789"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760,"provenance":"doaj"},"apc_paid":null,"fwci":0.895,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":24,"citation_normalized_percentile":{"value":0.852146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":88},"biblio":{"volume":"13","issue":"1","first_page":"63","last_page":"69"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994,"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":0.9994,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9979,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9978,"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/independence-number","display_name":"Independence number","score":0.807116}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.845647},{"id":"https://openalex.org/C2984853995","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independence number","level":3,"score":0.807116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7921001},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.61754686},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.46545488},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41608864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.047301024},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190130109","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":6,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W2045256092","https://openalex.org/W2056002585","https://openalex.org/W2069905179","https://openalex.org/W2317309498","https://openalex.org/W4256646394"],"related_works":["https://openalex.org/W4298162383","https://openalex.org/W4297904343","https://openalex.org/W2963953740","https://openalex.org/W2952711994","https://openalex.org/W2890393729","https://openalex.org/W2770182514","https://openalex.org/W2751356910","https://openalex.org/W2090351536","https://openalex.org/W2079729497","https://openalex.org/W1597085979"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2],"that":[3,23],"if":[4,56],"r":[5,30,37,54,57,73,75,80,95],"\u2a7e":[6,28,58,72],"1":[7],"is":[8,14,60,64],"an":[9,53,94],"odd":[10],"integer":[11],"and":[12,35,62,78,102,109],"G":[13,26,42,48,51,63,70,83,89,92,100,104,114],"a":[15,65],"graph":[16,66],"with":[17,67],"|":[18,20],"V(G)":[19],"even":[21,61],"such":[22],"k":[24,68,87,98],"(":[25,29,36,47,69,74,79,88,99],")":[27,43,71,84,101,105],"+":[31,38,76,81],"1)":[32,39],"2":[33,40,59],"/2":[34],"\u03b1(":[41,103],"\u2a7d":[44,85],"4":[45,86],"rk":[46],"),":[49,90],"then":[50,91],"has":[52,93],"\u2010factor;":[55],"2)/2":[77],"2)\u03b1(":[82],"\u2010factor":[96],"(where":[97],"denote":[106],"the":[107,110],"connectivity":[108],"independence":[111],"number":[112],"of":[113],",":[115],"respectively).":[116]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2111562002","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2024-12-12T10:37:44.806478","created_date":"2016-06-24"}