{"id":"https://openalex.org/W2012246276","doi":"https://doi.org/10.1006/jctb.2001.2079","title":"Disconnected 2-Factors in Planar Cubic Bridgeless Graphs","display_name":"Disconnected 2-Factors in Planar Cubic Bridgeless Graphs","publication_year":2002,"publication_date":"2002-03-01","ids":{"openalex":"https://openalex.org/W2012246276","doi":"https://doi.org/10.1006/jctb.2001.2079","mag":"2012246276"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1006/jctb.2001.2079","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1006/jctb.2001.2079","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041941673","display_name":"Ajit A. Diwan","orcid":"https://orcid.org/0000-0001-9381-7164"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Ajit A. Diwan","raw_affiliation_strings":["Department of Computer Science and Engineering, Indian Institute of Technology, Bombay, Mumbai, 400076, Indiaf1E-mail: aad@cse.iitb.ac.inf1#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology, Bombay, Mumbai, 400076, Indiaf1E-mail: aad@cse.iitb.ac.inf1#TAB#","institution_ids":["https://openalex.org/I162827531"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041941673"],"corresponding_institution_ids":["https://openalex.org/I162827531"],"apc_list":{"value":3420,"currency":"USD","value_usd":3420,"provenance":"doaj"},"apc_paid":null,"fwci":0.431,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":16,"citation_normalized_percentile":{"value":0.811249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":83,"max":84},"biblio":{"volume":"84","issue":"2","first_page":"249","last_page":"259"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Graph Theory and Algorithms","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":"Graph Theory and Algorithms","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/T10996","display_name":"Mesh Generation Algorithms","score":0.9964,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10720","display_name":"Combinatorial Optimization and Complexity Theory","score":0.9857,"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/factor","display_name":"Factor (programming language)","score":0.5029637},{"id":"https://openalex.org/keywords/planar-graph-embedding","display_name":"Planar Graph Embedding","score":0.470719},{"id":"https://openalex.org/keywords/cubic-graph","display_name":"Cubic graph","score":0.45797652}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5820844},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.57113063},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.55340654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5327117},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.5029637},{"id":"https://openalex.org/C100500283","wikidata":"https://www.wikidata.org/wiki/Q1374495","display_name":"Cubic graph","level":5,"score":0.45797652},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.42747748},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38061237},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38005495},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3534391},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27434605},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.09356761},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"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":true,"landing_page_url":"https://doi.org/10.1006/jctb.2001.2079","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1006/jctb.2001.2079","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":11,"referenced_works":["https://openalex.org/W1985061810","https://openalex.org/W1995435632","https://openalex.org/W2011039300","https://openalex.org/W2059608229","https://openalex.org/W2063292248","https://openalex.org/W2087818742","https://openalex.org/W2335389215","https://openalex.org/W2798588639","https://openalex.org/W3043060850","https://openalex.org/W4233756358","https://openalex.org/W4256646394"],"related_works":["https://openalex.org/W4381707489","https://openalex.org/W4364296635","https://openalex.org/W4308445215","https://openalex.org/W4295995756","https://openalex.org/W3043321318","https://openalex.org/W2968408369","https://openalex.org/W2807749043","https://openalex.org/W2054216620","https://openalex.org/W2002256912","https://openalex.org/W1978042415"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,17,34],"every":[3,44],"planar":[4],"cubic":[5,39],"bridgeless":[6,40],"graph":[7],"with":[8],"at":[9],"least":[10],"six":[11],"vertices":[12],"has":[13],"a":[14,19,24,47],"disconnected":[15],"2-factor,":[16],"is":[18,22,28,46],"2-factor":[20,45],"which":[21,43],"not":[23],"Hamilton":[25,48],"cycle.":[26,49],"This":[27],"in":[29,42],"contrast":[30],"to":[31],"the":[32],"fact":[33],"there":[35],"exist":[36],"arbitrarily":[37],"large":[38],"graphs":[41]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2012246276","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2024-11-05T19:57:58.527096","created_date":"2016-06-24"}