{"id":"https://openalex.org/W2088501820","doi":"https://doi.org/10.1017/s0963548311000708","title":"Minimum Degree and Disjoint Cycles in Claw-Free Graphs","display_name":"Minimum Degree and Disjoint Cycles in Claw-Free Graphs","publication_year":2012,"publication_date":"2012-02-02","ids":{"openalex":"https://openalex.org/W2088501820","doi":"https://doi.org/10.1017/s0963548311000708","mag":"2088501820"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548311000708","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548311000708","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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/A5109469173","display_name":"Ralph J. Faudree","orcid":null},"institutions":[{"id":"https://openalex.org/I94658018","display_name":"University of Memphis","ror":"https://ror.org/01cq23130","country_code":"US","type":"education","lineage":["https://openalex.org/I94658018"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"RALPH J. FAUDREE","raw_affiliation_strings":["University of Memphis, Memphis, TN 38152, USA (e-mail:","University of memphis, memphis, tn 38152, usa (e-mail: rfaudree@memphis.edu)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Memphis, Memphis, TN 38152, USA (e-mail:","institution_ids":["https://openalex.org/I94658018"]},{"raw_affiliation_string":"University of memphis, memphis, tn 38152, usa (e-mail: rfaudree@memphis.edu)#TAB#","institution_ids":["https://openalex.org/I94658018"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077689134","display_name":"Ronald J. Gould","orcid":"https://orcid.org/0000-0003-0040-9511"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"RONALD J. GOULD","raw_affiliation_strings":["Emory University, Atlanta, GA 30322, USA (e-mail:","Emory university, atlanta, ga 30322, usa (e-mail: rg@mathcs.emory.edu)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Emory University, Atlanta, GA 30322, USA (e-mail:","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Emory university, atlanta, ga 30322, usa (e-mail: rg@mathcs.emory.edu)#TAB#","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060263835","display_name":"Michael S. Jacobson","orcid":"https://orcid.org/0000-0003-2220-8622"},"institutions":[{"id":"https://openalex.org/I131651094","display_name":"University of Denver","ror":"https://ror.org/04w7skc03","country_code":"US","type":"education","lineage":["https://openalex.org/I131651094"]},{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"MICHAEL S. JACOBSON","raw_affiliation_strings":["University of Colorado Denver, Denver, CO 80217, USA (e-mail:","University of colorado denver, denver, co 80217, usa (e-mail: michael.jacobson@ucdenver.edu)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Colorado Denver, Denver, CO 80217, USA (e-mail:","institution_ids":["https://openalex.org/I131651094","https://openalex.org/I921990950"]},{"raw_affiliation_string":"University of colorado denver, denver, co 80217, usa (e-mail: michael.jacobson@ucdenver.edu)#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9425,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.72599942,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"1-2","first_page":"129","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9984999895095825,"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":0.9912999868392944,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/claw","display_name":"Claw","score":0.9099074602127075},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7990853786468506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6656922101974487},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6578941941261292},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.5671173334121704},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.453377902507782},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4218234717845917},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3519015908241272},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08920934796333313},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06752756237983704}],"concepts":[{"id":"https://openalex.org/C29738020","wikidata":"https://www.wikidata.org/wiki/Q217605","display_name":"Claw","level":2,"score":0.9099074602127075},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7990853786468506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6656922101974487},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6578941941261292},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.5671173334121704},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.453377902507782},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4218234717845917},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3519015908241272},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08920934796333313},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06752756237983704},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548311000708","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548311000708","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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":7,"referenced_works":["https://openalex.org/W1991387851","https://openalex.org/W2003462869","https://openalex.org/W2007851259","https://openalex.org/W2044230721","https://openalex.org/W2094126876","https://openalex.org/W2753791645","https://openalex.org/W6744137327"],"related_works":["https://openalex.org/W2401080772","https://openalex.org/W4362553897","https://openalex.org/W2011147476","https://openalex.org/W2169421841","https://openalex.org/W2152127643","https://openalex.org/W2761515207","https://openalex.org/W2134049477","https://openalex.org/W3201237109","https://openalex.org/W4286911546","https://openalex.org/W4290190164"],"abstract_inverted_index":{"A":[0],"graph":[1],"is":[2,49],"claw-free":[3,19,35,50],"if":[4,47],"it":[5],"does":[6],"not":[7],"contain":[8],"an":[9],"induced":[10],"subgraph":[11],"isomorphic":[12],"to":[13],"K":[14],"1,3":[15],".":[16],"Cycles":[17],"in":[18,34],"graphs":[20,36],"have":[21],"been":[22],"well":[23],"studied.":[24],"In":[25,42],"this":[26],"paper":[27],"we":[28,44],"extend":[29],"results":[30],"on":[31],"disjoint":[32,70],"cycles":[33],"satisfying":[37],"certain":[38],"minimum":[39],"degree":[40],"conditions.":[41],"particular,":[43],"prove":[45],"that":[46],"G":[48,61,67],"of":[51],"sufficiently":[52],"large":[53],"order":[54],"n":[55,64],"=":[56],"3":[57],"k":[58,69],"with":[59],"\u03b4(":[60],")":[62],"\u2265":[63],"/2,":[65],"then":[66],"contains":[68],"triangles.":[71]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
