{"id":"https://openalex.org/W2023171457","doi":"https://doi.org/10.1002/(sici)1097-0118(199808)28:4<203::aid-jgt2>3.0.co;2-n","title":"Induced matching extendable graphs","display_name":"Induced matching extendable graphs","publication_year":1998,"publication_date":"1998-08-01","ids":{"openalex":"https://openalex.org/W2023171457","doi":"https://doi.org/10.1002/(sici)1097-0118(199808)28:4<203::aid-jgt2>3.0.co;2-n","mag":"2023171457"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199808)28:4<203::aid-jgt2>3.0.co;2-n","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199808)28:4<203::aid-jgt2>3.0.co;2-n","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5103634951","display_name":"Yuan Jinjiang","orcid":null},"institutions":[{"id":"https://openalex.org/I38877650","display_name":"Zhengzhou University","ror":"https://ror.org/04ypx8c21","country_code":"CN","type":"education","lineage":["https://openalex.org/I38877650"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuan Jinjiang","raw_affiliation_strings":["Department of Mathematics, Zhengzhou University, Zhengzhou 450052, People's Republic of China","Department of Mathematics, Zhengzhou University, Zhengzhou 450052, People's Republic of China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhengzhou University, Zhengzhou 450052, People's Republic of China","institution_ids":["https://openalex.org/I38877650"]},{"raw_affiliation_string":"Department of Mathematics, Zhengzhou University, Zhengzhou 450052, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I38877650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103634951"],"corresponding_institution_ids":["https://openalex.org/I38877650"],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":null,"fwci":0.4888,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.63615764,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"4","first_page":"203","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9879999756813049,"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":0.9879999756813049,"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/combinatorics","display_name":"Combinatorics","score":0.8938041925430298},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.796904444694519},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5033287405967712},{"id":"https://openalex.org/keywords/factor-critical-graph","display_name":"Factor-critical graph","score":0.4859951436519623},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.47336289286613464},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4491816759109497},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.392757773399353},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.30527183413505554},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2947337031364441}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8938041925430298},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.796904444694519},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5033287405967712},{"id":"https://openalex.org/C36038622","wikidata":"https://www.wikidata.org/wiki/Q5428703","display_name":"Factor-critical graph","level":5,"score":0.4859951436519623},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.47336289286613464},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4491816759109497},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.392757773399353},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.30527183413505554},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2947337031364441},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199808)28:4<203::aid-jgt2>3.0.co;2-n","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199808)28:4<203::aid-jgt2>3.0.co;2-n","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},{"id":"doi:10.1002/(sici)1097-0118(199808)28:4<203::aid-jgt2>3.3.co;2-0","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199808)28:4<203::aid-jgt2>3.3.co;2-0","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},{"id":"mag:2023171457","is_oa":false,"landing_page_url":"https://onlinelibrary.wiley.com/doi/pdf/10.1002/%28SICI%291097-0118%28199808%2928%3A4%3C203%3A%3AAID-JGT2%3E3.0.CO%3B2-N","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":null,"raw_source_name":"Journal of Graph Theory","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1484040084","https://openalex.org/W2034615559","https://openalex.org/W2382715961","https://openalex.org/W2091978516","https://openalex.org/W2031325806","https://openalex.org/W1967104954","https://openalex.org/W1969521198","https://openalex.org/W2354472646","https://openalex.org/W2354055038","https://openalex.org/W1877107085","https://openalex.org/W1622716760","https://openalex.org/W2004533585","https://openalex.org/W2155060804","https://openalex.org/W2063889627","https://openalex.org/W1980305443","https://openalex.org/W2093066148","https://openalex.org/W3200334570","https://openalex.org/W2113993984","https://openalex.org/W1992279711","https://openalex.org/W2142658005"],"abstract_inverted_index":{"We":[0],"say":[1],"that":[2,120],"a":[3,22,56,82],"simple":[4],"graph":[5,41,111],"G":[6,18,42,54,74],"is":[7,19,55,81,109,122],"induced":[8,15],"matching":[9,16,24],"extendable,":[10],"shortly":[11],"IM-extendable,":[12],"if":[13,70,73,128],"every":[14,38],"of":[17,25,30,125],"included":[20],"in":[21],"perfect":[23],"G.":[26],"The":[27,85],"main":[28],"results":[29],"this":[31],"paper":[32],"are":[33,91],"as":[34],"follows:":[35],"(1)":[36],"For":[37],"connected":[39,57,88],"IM-extendable":[40,58,89],"with":[43,112],"|V(G)|":[44],"\u2265":[45,62,97,104],"4,":[46],"the":[47,67,110],"girth":[48],"g(G)":[49],"\u2264":[50],"4.":[51],"(2)":[52],"If":[53],"graph,":[59],"then":[60],"|E(G)|":[61],"${3\\over":[63],"2}|V(G)|":[64],"-":[65],"2$;":[66],"equality":[68],"holds":[69],"and":[71,99],"only":[72,86],"\u2245":[75],"T":[76,80],"\u00d7":[77,93],"K2,":[78,94],"where":[79,106],"tree.":[83],"(3)":[84],"3-regular":[87],"graphs":[90],"Cn":[92],"for":[95,102],"n":[96,103,142],"3,":[98],"C2n(1,":[100,107,126],"n),":[101],"2,":[105],"n)":[108,127],"2n":[113],"vertices":[114],"x0,":[115],"x1,":[116],"\u2026,":[117],"x2n\u22121,":[118],"such":[119],"xixj":[121],"an":[123],"edge":[124],"either":[129],"|i":[130,138],"\u2212":[131,139],"j|":[132,140],"\u2261":[133,141],"1":[134],"(mod":[135,143],"2n)":[136],"or":[137],"2n).":[144],"\u00a9":[145],"1998":[146,157],"John":[147],"Wiley":[148],"&":[149],"Sons,":[150],"Inc.":[151],"J.":[152],"Graph":[153],"Theory":[154],"28:":[155],"203\u2013213,":[156]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}