{"id":"https://openalex.org/W4240624241","doi":"https://doi.org/10.1002/jgt.20150","title":"Sufficient conditions for \u03bb\u2032\u2010optimality in graphs with girth g","display_name":"Sufficient conditions for \u03bb\u2032\u2010optimality in graphs with girth g","publication_year":2006,"publication_date":"2006-02-06","ids":{"openalex":"https://openalex.org/W4240624241","doi":"https://doi.org/10.1002/jgt.20150"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.20150","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_indexed_in_scopus":true,"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":false},"type":"article","type_crossref":"journal-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/A5091011098","display_name":"C. Balbuena","orcid":"https://orcid.org/0000-0003-4190-4287"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"funder","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"C. Balbuena","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada III Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada III Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029371019","display_name":"P. Garc\u00eda\u2010V\u00e1zquez","orcid":"https://orcid.org/0000-0001-9208-9409"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"funder","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"P. Garc\u00eda\u2010V\u00e1zquez","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada I Universidad de Sevilla, Sevilla, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada I Universidad de Sevilla, Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017358404","display_name":"X. Marcote","orcid":"https://orcid.org/0000-0002-5194-8593"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"funder","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"X. Marcote","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada III Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada III Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091011098","https://openalex.org/A5029371019","https://openalex.org/A5017358404"],"corresponding_institution_ids":["https://openalex.org/I9617848","https://openalex.org/I79238269","https://openalex.org/I9617848"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":7.579,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":49,"citation_normalized_percentile":{"value":0.866035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":94},"biblio":{"volume":"52","issue":"1","first_page":"73","last_page":"86"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9995,"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":0.9995,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9994,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9981,"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":[],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8853779},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8440939},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5771072},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.53833455},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4460526}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.20150","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_indexed_in_scopus":true,"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":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":15,"referenced_works":["https://openalex.org/W180089728","https://openalex.org/W1989412486","https://openalex.org/W1995580361","https://openalex.org/W2010339900","https://openalex.org/W2045187551","https://openalex.org/W2064168004","https://openalex.org/W206695155","https://openalex.org/W2077293169","https://openalex.org/W2088535325","https://openalex.org/W2113720516","https://openalex.org/W2116418681","https://openalex.org/W2145049986","https://openalex.org/W2148350285","https://openalex.org/W2355531888","https://openalex.org/W604158355"],"related_works":["https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W3002753104","https://openalex.org/W2911598644","https://openalex.org/W2077600819","https://openalex.org/W2061531152","https://openalex.org/W2042127053","https://openalex.org/W2007980826","https://openalex.org/W1979597421","https://openalex.org/W1587224694"],"abstract_inverted_index":{"Abstract":[0],"For":[1],"a":[2,95,119,153],"connected":[3],"graph":[4,37,154],"the":[5,14,57,92,145,148],"restricted":[6],"edge\u2010connectivity":[7],"\u03bb\u2032(":[8,45],"G":[9,32,38,46,50,54,61,65,85,155],")":[10,47,55,66,73,78,90],"is":[11,39,56,163],"defined":[12,62],"as":[13,63],"minimum":[15,58],"cardinality":[16],"of":[17,94,110,126,138,147],"an":[18],"edge\u2010cut":[19],"over":[20],"all":[21],"edge\u2010cuts":[22],"S":[23,34],"such":[24],"that":[25,152],"there":[26],"are":[27],"no":[28],"isolated":[29],"vertices":[30],"in":[31,60,108,124,136],"\u2013":[33],".":[35,98],"A":[36],"said":[40],"to":[41],"be":[42],"\u03bb\u2032\u2010optimal":[43],"if":[44],"=":[48,67],"\u03be(":[49,53,64],"),":[51],"where":[52],"edge\u2010degree":[59],"min":[68],"{":[69],"d":[70,75,87],"(":[71,76,84,88],"u":[72,89,97],"+":[74],"v":[77],"\u2212":[79,141,161],"2:":[80],"uv":[81],"\u2208":[82],"E":[83],")},":[86],"denoting":[91],"degree":[93],"vertex":[96],"A.":[99],"Hellwig":[100],"and":[101,150],"L.":[102],"Volkmann":[103],"[Sufficient":[104],"conditions":[105],"for":[106,122],"\u03bb\u2032\u2010optimality":[107,123],"graphs":[109,125,137],"diameter":[111,127,139,157],"2,":[112],"Discrete":[113],"Math":[114],"283":[115],"(2004),":[116],"113\u2013120]":[117],"gave":[118],"sufficient":[120],"condition":[121,135],"2.":[128],"In":[129],"this":[130,134],"paper,":[131],"we":[132],"generalize":[133],"g":[140,143,160],"1,":[142],"being":[144],"girth":[146],"graph,":[149],"show":[151],"with":[156],"at":[158],"most":[159],"2":[162],"\u03bb\u2032\u2010optimal.":[164],"\u00a9":[165],"2006":[166,175],"Wiley":[167],"Periodicals,":[168],"Inc.":[169],"J":[170],"Graph":[171],"Theory":[172],"52:":[173],"73\u201386,":[174]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4240624241","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":6}],"updated_date":"2025-04-17T07:39:20.925312","created_date":"2022-05-12"}