{"id":"https://openalex.org/W4414596796","doi":"https://doi.org/10.1051/ro/2025127","title":"Some sufficient conditions for graphs to have component factors","display_name":"Some sufficient conditions for graphs to have component factors","publication_year":2025,"publication_date":"2025-09-01","ids":{"openalex":"https://openalex.org/W4414596796","doi":"https://doi.org/10.1051/ro/2025127"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2025127","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025127","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2025/05/ro240805.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2025/05/ro240805.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101764220","display_name":"Sizhong Zhou","orcid":"https://orcid.org/0000-0003-2093-2158"},"institutions":[{"id":"https://openalex.org/I4210096899","display_name":"Jiangsu University of Science and Technology","ror":"https://ror.org/00tyjp878","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210096899"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Sizhong Zhou","raw_affiliation_strings":["School of Science, Jiangsu University of Science and Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Jiangsu University of Science and Technology","institution_ids":["https://openalex.org/I4210096899"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101764220"],"corresponding_institution_ids":["https://openalex.org/I4210096899"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25913655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"5","first_page":"3241","last_page":"3252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9789999723434448,"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":0.9789999723434448,"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/T11476","display_name":"Graph theory and applications","score":0.9686999917030334,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9606999754905701,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.6541000008583069},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48420000076293945},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.4724000096321106},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4596000015735626},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.3855000138282776},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.3009999990463257}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7053999900817871},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.6541000008583069},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.604200005531311},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48420000076293945},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.4724000096321106},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4596000015735626},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4512999951839447},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.3855000138282776},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.3009999990463257},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.2863999903202057},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.2736999988555908}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1051/ro/2025127","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025127","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2025/05/ro240805.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1051/ro/2025127","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2025127","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2025/05/ro240805.pdf","source":{"id":"https://openalex.org/S4393919633","display_name":"RAIRO. Operations research","issn_l":"2804-7303","issn":["2804-7303"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3829033658","display_name":null,"funder_award_id":"ZR2023MA078","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8977444689","display_name":null,"funder_award_id":"BK20241949","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321605","display_name":"Government of Jiangsu Province","ror":"https://ror.org/004svx814"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414596796.pdf","grobid_xml":"https://content.openalex.org/works/W4414596796.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1987223948","https://openalex.org/W2049446912","https://openalex.org/W2074508519","https://openalex.org/W2117794475","https://openalex.org/W3000378593","https://openalex.org/W3013919929","https://openalex.org/W3034097073","https://openalex.org/W3119851271","https://openalex.org/W3168793591","https://openalex.org/W3195183063","https://openalex.org/W3212284316","https://openalex.org/W4200287627","https://openalex.org/W4231584935","https://openalex.org/W4310153179","https://openalex.org/W4388168755","https://openalex.org/W4389787926","https://openalex.org/W4391979668","https://openalex.org/W4392154240","https://openalex.org/W4393333346","https://openalex.org/W4396670994","https://openalex.org/W4400733810","https://openalex.org/W4401451044","https://openalex.org/W4402247126","https://openalex.org/W4403976080","https://openalex.org/W4404855924","https://openalex.org/W4408707160","https://openalex.org/W4409942732","https://openalex.org/W4410284908","https://openalex.org/W4411689858","https://openalex.org/W4413221942","https://openalex.org/W4413269681"],"related_works":[],"abstract_inverted_index":{"Let":[0],"G":[1,34],"denote":[2],"a":[3,36,76],"graph":[4],"and":[5],"k":[6,26,30,62,66,72,107,111],"\u2265":[7],"2":[8],"be":[9],"an":[10,46],"integer.":[11],"A":[12],"{":[13,49,94],"K":[14,17,24,50,53,60,95,98,105],"1,1":[15,51,96],",":[16,19,23,27,52,55,59,63,97,100,104,108],"1,2":[18,54,99],".":[20,21,22,56,57,58,101,102,103],"1,":[25,61,106],"\u03a4":[28,64,70,109],"(2":[29,65,71,110],"+":[31,67,73,112],"1)}-factor":[32],"of":[33,48,79,93],"is":[35,43,75],"spanning":[37],"subgraph,":[38],"whose":[39],"every":[40],"connected":[41],"component":[42],"isomorphic":[44],"to":[45,122],"element":[47],"1)},":[68],"where":[69],"1)":[74],"special":[77],"family":[78],"trees.":[80],"In":[81],"this":[82,129],"paper,":[83],"we":[84,117],"put":[85],"forward":[86],"some":[87,119],"sufficient":[88],"conditions":[89],"for":[90],"the":[91,125],"existence":[92],"1)}-factors":[113],"in":[114,128],"graphs.":[115],"Furthermore,":[116],"construct":[118],"extremal":[120],"graphs":[121],"show":[123],"that":[124],"main":[126],"results":[127],"paper":[130],"are":[131],"best":[132],"possible.":[133]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
