{"id":"https://openalex.org/W2163228102","doi":"https://doi.org/10.1002/jgt.3190130306","title":"Edge disjoint cycles in graphs","display_name":"Edge disjoint cycles in graphs","publication_year":1989,"publication_date":"1989-07-01","ids":{"openalex":"https://openalex.org/W2163228102","doi":"https://doi.org/10.1002/jgt.3190130306","mag":"2163228102"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190130306","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/A5100348617","display_name":"Hao Li","orcid":"https://orcid.org/0000-0002-6294-6761"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li Hao","raw_affiliation_strings":["Institute of Systems Science Academia Sinica Beijing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Systems Science Academia Sinica Beijing, China","institution_ids":["https://openalex.org/I4210120485"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100348617"],"corresponding_institution_ids":["https://openalex.org/I4210120485"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760,"provenance":"doaj"},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":10,"citation_normalized_percentile":{"value":0.626394,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":79,"max":80},"biblio":{"volume":"13","issue":"3","first_page":"313","last_page":"322"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9971,"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":0.9971,"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":0.9965,"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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9951,"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/disjoint-sets","display_name":"Disjoint sets","score":0.65021765},{"id":"https://openalex.org/keywords/pancyclic-graph","display_name":"Pancyclic graph","score":0.46120352},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4213193}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8929571},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7644837},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.65021765},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.626994},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5693486},{"id":"https://openalex.org/C166911692","wikidata":"https://www.wikidata.org/wiki/Q7130424","display_name":"Pancyclic graph","level":5,"score":0.46120352},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4213193},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40047732},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.23626217},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.14759922},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190130306","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":4,"referenced_works":["https://openalex.org/W1428816444","https://openalex.org/W1484040084","https://openalex.org/W1735141257","https://openalex.org/W2035089435"],"related_works":["https://openalex.org/W4388585714","https://openalex.org/W2952856011","https://openalex.org/W2951088216","https://openalex.org/W2910028469","https://openalex.org/W2373602382","https://openalex.org/W2354668236","https://openalex.org/W2169450198","https://openalex.org/W2083864191","https://openalex.org/W2057580655","https://openalex.org/W203133463"],"abstract_inverted_index":{"Abstract":[0],"Ore":[1],"proved":[2],"in":[3],"1960":[4],"that":[5,45,78],"if":[6,46,79],"G":[7,32,62],"is":[8,26,55,77],"a":[9,34],"graph":[10,61,111,150],"of":[11,17,20,23,74],"order":[12],"n":[13,29,47,80,101,142],"and":[14,41,50,143],"the":[15,18,51,60,149],"sum":[16],"degrees":[19],"any":[21,87],"pair":[22],"nonadjacent":[24],"vertices":[25],"at":[27,56,65],"least":[28,57,66],",":[30,84,102,121,126],"then":[31,59,85],"has":[33,112],"hamiltonian":[35,70,157],"cycle.":[36],"In":[37,128],"1986,":[38],"Li":[39],"Hao":[40],"Zhu":[42],"Yongjin":[43],"showed":[44],"\u2a7e":[48,81],"20":[49],"minimum":[52],"degree":[53],"\u03b4":[54],"5,":[58],"above":[63],"contains":[64,151],"two":[67],"edge":[68,114,155],"disjoint":[69,115,156],"cycles.":[71,158],"The":[72],"result":[73],"this":[75],"paper":[76],"2\u03b4":[82],"2":[83,94,123,135],"for":[86],"3":[88],"\u2a7d":[89,92,95,97,100],"l":[90,93,98,119,122,131,134,139],"1":[91,103,120,132],"\u20db":[96,137],"k":[99,105,125,140,144],"=":[104,106,133,136,138,141,145],"[(\u03b4":[107,146,152],"\u2010":[108,147,153],"1)/2],":[109,148],"such":[110],"K":[113],"cycles":[116],"with":[117],"lengths":[118],"\u2026l":[124],"respectively.":[127],"particular,":[129],"when":[130],"1)/2]":[154]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2163228102","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2024-12-16T19:55:30.858173","created_date":"2016-06-24"}