{"id":"https://openalex.org/W4384931465","doi":"https://doi.org/10.1137/22m1500654","title":"Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs","display_name":"Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs","publication_year":2023,"publication_date":"2023-07-20","ids":{"openalex":"https://openalex.org/W4384931465","doi":"https://doi.org/10.1137/22m1500654"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1500654","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/2206.10975","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066109543","display_name":"Yulai Ma","orcid":"https://orcid.org/0000-0002-4324-3497"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Yulai Ma","raw_affiliation_strings":["Department of Mathematics, Paderborn University, 33098 Paderborn, Germany."],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Paderborn University, 33098 Paderborn, Germany.","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001787916","display_name":"Davide Mattiolo","orcid":"https://orcid.org/0000-0001-5876-0887"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Davide Mattiolo","raw_affiliation_strings":["Department of Computer Science, KU Leuven Kulak, 8500 Kortrijk, Belgium."],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, KU Leuven Kulak, 8500 Kortrijk, Belgium.","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041562341","display_name":"Eckhard Steffen","orcid":"https://orcid.org/0000-0002-9808-7401"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Eckhard Steffen","raw_affiliation_strings":["Department of Mathematics, Paderborn University, 33098 Paderborn, Germany."],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Paderborn University, 33098 Paderborn, Germany.","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051639956","display_name":"Isaak H. Wolf","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Isaak H. Wolf","raw_affiliation_strings":["Department of Mathematics, Paderborn University, 33098 Paderborn, Germany."],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Paderborn University, 33098 Paderborn, Germany.","institution_ids":["https://openalex.org/I206945453"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.557,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":3,"citation_normalized_percentile":{"value":0.690635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":86,"max":90},"biblio":{"volume":"37","issue":"3","first_page":"1548","last_page":"1565"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9996,"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":0.9996,"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":"Graph Theory and Algorithms","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/T11476","display_name":"Graph Spectra and Topological Indices","score":0.9981,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.67298436},{"id":"https://openalex.org/keywords/graph-limits","display_name":"Graph Limits","score":0.492331}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.84815776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8144164},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.69378364},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.67298436},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.50076103},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.43305123},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12685075},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"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":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1500654","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.10975","pdf_url":"http://arxiv.org/pdf/2206.10975","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2206.10975","pdf_url":"https://arxiv.org/pdf/2206.10975","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2206.10975","pdf_url":"http://arxiv.org/pdf/2206.10975","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320320875","funder_display_name":"Deutscher Akademischer Austauschdienst","award_id":"57575640"},{"funder":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft","award_id":"445863039"},{"funder":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek","award_id":"1268323N"}],"datasets":[],"versions":[],"referenced_works_count":15,"referenced_works":["https://openalex.org/W1500536468","https://openalex.org/W1786780942","https://openalex.org/W1973490548","https://openalex.org/W2013356944","https://openalex.org/W2024011816","https://openalex.org/W2049716158","https://openalex.org/W2059233598","https://openalex.org/W2477320853","https://openalex.org/W2946429963","https://openalex.org/W2963706860","https://openalex.org/W3007987226","https://openalex.org/W3195289762","https://openalex.org/W4205617459","https://openalex.org/W4232896595","https://openalex.org/W4253850897"],"related_works":["https://openalex.org/W4372354731","https://openalex.org/W2949152769","https://openalex.org/W2942366970","https://openalex.org/W2793211469","https://openalex.org/W2562400057","https://openalex.org/W2487162673","https://openalex.org/W2035433397","https://openalex.org/W2020053772","https://openalex.org/W1971174658","https://openalex.org/W1553466895"],"abstract_inverted_index":{".Thomassen":[0],"[J.":[1,53],"Combin.":[2],"Theory":[3],"Ser.":[4],"B,":[5],"141":[6],"(2020),":[7],"pp.":[8,58],"343\u2013351]":[9],"asked":[10],"whether":[11],"every":[12],"\\(r\\)":[13,15,67],"-edge-connected":[14],"-regular":[16],"graph":[17],"of":[18,49,81,89,110,124],"even":[19,66,79],"order":[20],"has":[21],"\\(r-2\\)":[22],"pairwise":[23,92,120],"disjoint":[24,93,121],"perfect":[25,94,103,122],"matchings.":[26],"We":[27,84],"show":[28],"that":[29,72],"this":[30,60],"is":[31],"not":[32],"the":[33,78,102,136,139,143],"case":[34,80],"if":[35],"\\(r":[36],"\\equiv":[37],"2":[38,150],"\\text{":[39],"mod":[40],"}":[41],"4\\)":[42],".":[43,68],"Together":[44],"with":[45],"a":[46],"recent":[47],"result":[48],"Mattiolo":[50],"and":[51,142],"Steffen":[52],"Graph":[54],"Theory,":[55],"99":[56],"(2022),":[57],"107\u2013116]":[59],"solves":[61],"Thomassen's":[62,82],"problem":[63],"for":[64,131],"all":[65],"It":[69],"turns":[70],"out":[71],"our":[73],"methods":[74],"are":[75],"limited":[76],"to":[77,128],"problem.":[83],"then":[85],"prove":[86],"some":[87],"equivalences":[88],"statements":[90,118],"on":[91,113,119],"matchings":[95,104,123],"in":[96],"highly":[97],"edge-connected":[98],"regular":[99],"graphs,":[100,133],"where":[101],"contain":[105],"or":[106],"avoid":[107],"fixed":[108],"sets":[109],"edges.":[111],"Based":[112],"these":[114],"results":[115],"we":[116],"relate":[117],"5-edge-connected":[125],"5-regular":[126],"graphs":[127],"well-known":[129],"conjectures":[130],"cubic":[132],"such":[134],"as":[135],"Fan\u2013Raspaud":[137],"conjecture,":[138,141],"Berge\u2013Fulkerson":[140],"5-cycle":[144],"double":[145],"cover":[146],"conjecture.Keywordsperfect":[147],"matchingsregular":[148],"graphsfactorsr-graphsedge-coloringsclass":[149],"graphsMSC":[151],"codes05C70":[152]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4384931465","counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2024-11-04T07:28:33.083428","created_date":"2023-07-22"}
