{"id":"https://openalex.org/W2048484904","doi":"https://doi.org/10.1002/jgt.3190090103","title":"Factors and factorizations of graphs\u2014a survey","display_name":"Factors and factorizations of graphs\u2014a survey","publication_year":1985,"publication_date":"1985-03-01","ids":{"openalex":"https://openalex.org/W2048484904","doi":"https://doi.org/10.1002/jgt.3190090103","mag":"2048484904"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190090103","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190090103","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/A5005795132","display_name":"Jin Akiyama","orcid":"https://orcid.org/0000-0002-0047-6717"},"institutions":[{"id":"https://openalex.org/I1314466530","display_name":"Tokai University","ror":"https://ror.org/01p7qe739","country_code":"JP","type":"education","lineage":["https://openalex.org/I1314466530"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jin Akiyama","raw_affiliation_strings":["Tokai University Hiratsuka, Japan","Tokai University, Hiratsuka , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tokai University Hiratsuka, Japan","institution_ids":["https://openalex.org/I1314466530"]},{"raw_affiliation_string":"Tokai University, Hiratsuka , Japan","institution_ids":["https://openalex.org/I1314466530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062422841","display_name":"Mikio Kan\u014d","orcid":"https://orcid.org/0000-0002-7545-0327"},"institutions":[{"id":"https://openalex.org/I4210117807","display_name":"National Institute of Technology, Akashi College","ror":"https://ror.org/029kvcs29","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210117807","https://openalex.org/I4210120810"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mikio Kano","raw_affiliation_strings":["Akashi Technological College Akashi, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Akashi Technological College Akashi, Japan","institution_ids":["https://openalex.org/I4210117807"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":2.615,"has_fulltext":false,"cited_by_count":130,"citation_normalized_percentile":{"value":0.90188953,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"9","issue":"1","first_page":"1","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9997000098228455,"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/mathematics","display_name":"Mathematics","score":0.7490274906158447},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7401301860809326},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6430349349975586},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.5725220441818237},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5516541600227356},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5103277564048767},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45079803466796875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10671335458755493}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7490274906158447},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7401301860809326},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6430349349975586},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.5725220441818237},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5516541600227356},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5103277564048767},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45079803466796875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10671335458755493},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190090103","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190090103","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":132,"referenced_works":["https://openalex.org/W76996940","https://openalex.org/W156955290","https://openalex.org/W300448282","https://openalex.org/W361901943","https://openalex.org/W1482143660","https://openalex.org/W1484040084","https://openalex.org/W1510730180","https://openalex.org/W1582343004","https://openalex.org/W1656795039","https://openalex.org/W1767780339","https://openalex.org/W1968538033","https://openalex.org/W1971784060","https://openalex.org/W1972879641","https://openalex.org/W1975099798","https://openalex.org/W1975558042","https://openalex.org/W1977968971","https://openalex.org/W1978451969","https://openalex.org/W1978564737","https://openalex.org/W1980379029","https://openalex.org/W1982194461","https://openalex.org/W1984551144","https://openalex.org/W1984587454","https://openalex.org/W1985061810","https://openalex.org/W1986807567","https://openalex.org/W1987223948","https://openalex.org/W1987376164","https://openalex.org/W1987745187","https://openalex.org/W1987796198","https://openalex.org/W1988046504","https://openalex.org/W1988131991","https://openalex.org/W1991387851","https://openalex.org/W1992975445","https://openalex.org/W1993348640","https://openalex.org/W1995927482","https://openalex.org/W1996118550","https://openalex.org/W2002040647","https://openalex.org/W2004739738","https://openalex.org/W2005038935","https://openalex.org/W2006717420","https://openalex.org/W2009025899","https://openalex.org/W2011039300","https://openalex.org/W2011164326","https://openalex.org/W2011898841","https://openalex.org/W2012447199","https://openalex.org/W2016088388","https://openalex.org/W2016972140","https://openalex.org/W2018140157","https://openalex.org/W2019014190","https://openalex.org/W2021055117","https://openalex.org/W2021423349","https://openalex.org/W2023577810","https://openalex.org/W2027979690","https://openalex.org/W2032495288","https://openalex.org/W2034093914","https://openalex.org/W2034988626","https://openalex.org/W2038558760","https://openalex.org/W2039779720","https://openalex.org/W2041460357","https://openalex.org/W2043427324","https://openalex.org/W2045256092","https://openalex.org/W2047993061","https://openalex.org/W2049446912","https://openalex.org/W2053050060","https://openalex.org/W2053904585","https://openalex.org/W2056002585","https://openalex.org/W2063292248","https://openalex.org/W2066743906","https://openalex.org/W2068986553","https://openalex.org/W2071771013","https://openalex.org/W2072322181","https://openalex.org/W2077549325","https://openalex.org/W2086304977","https://openalex.org/W2086473490","https://openalex.org/W2087404129","https://openalex.org/W2088313691","https://openalex.org/W2090850098","https://openalex.org/W2092483998","https://openalex.org/W2094126876","https://openalex.org/W2094655176","https://openalex.org/W2105800562","https://openalex.org/W2114108794","https://openalex.org/W2114319319","https://openalex.org/W2116353246","https://openalex.org/W2121625591","https://openalex.org/W2130665472","https://openalex.org/W2133657109","https://openalex.org/W2134270302","https://openalex.org/W2141454112","https://openalex.org/W2149102431","https://openalex.org/W2200774475","https://openalex.org/W2218412668","https://openalex.org/W2252909205","https://openalex.org/W2312997096","https://openalex.org/W2316015914","https://openalex.org/W2317309498","https://openalex.org/W2319037558","https://openalex.org/W2320333100","https://openalex.org/W2327315803","https://openalex.org/W2331403254","https://openalex.org/W2335389215","https://openalex.org/W2569165198","https://openalex.org/W2640008948","https://openalex.org/W2731163670","https://openalex.org/W2732784832","https://openalex.org/W2733820311","https://openalex.org/W2736280632","https://openalex.org/W2896297668","https://openalex.org/W3048156760","https://openalex.org/W3084987570","https://openalex.org/W3192960030","https://openalex.org/W4205475737","https://openalex.org/W4210731599","https://openalex.org/W4213214460","https://openalex.org/W4229836224","https://openalex.org/W4231081460","https://openalex.org/W4233756358","https://openalex.org/W4237105209","https://openalex.org/W4237121615","https://openalex.org/W4237606563","https://openalex.org/W4245236715","https://openalex.org/W4247549312","https://openalex.org/W4250151054","https://openalex.org/W4251401746","https://openalex.org/W4253334476","https://openalex.org/W4254106274","https://openalex.org/W4256258548","https://openalex.org/W4256646394","https://openalex.org/W4298414065","https://openalex.org/W6612304813","https://openalex.org/W6649402533","https://openalex.org/W6699945833","https://openalex.org/W7067866720"],"related_works":["https://openalex.org/W3161230432","https://openalex.org/W1487201914","https://openalex.org/W2357256365","https://openalex.org/W4367190712","https://openalex.org/W2348502264","https://openalex.org/W280458463","https://openalex.org/W2365486383","https://openalex.org/W2362059367","https://openalex.org/W1170131723","https://openalex.org/W4301429470"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"degree":[2,14,23],"factor":[3],"of":[4,13,41],"a":[5,30,36],"graph":[6],"is":[7,35],"either":[8],"an":[9,18],"r":[10,15],"\u2010factor":[11],"(regular":[12],")":[16],"or":[17],"[m,":[19],"n]\u2010factor":[20],"(with":[21],"each":[22,33],"between":[24],"m":[25],"and":[26,45],"n":[27],").":[28],"In":[29],"component":[31,34],"factor,":[32],"prescribed":[37],"graph.":[38],"Both":[39],"kinds":[40],"factors":[42],"are":[43],"surveyed,":[44],"also":[46],"corresponding":[47],"factorizations.":[48]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}