{"id":"https://openalex.org/W2955954498","doi":"https://doi.org/10.1137/20m1364370","title":"Shortest Reconfiguration of Perfect Matchings via Alternating Cycles","display_name":"Shortest Reconfiguration of Perfect Matchings via Alternating Cycles","publication_year":2022,"publication_date":"2022-04-28","ids":{"openalex":"https://openalex.org/W2955954498","doi":"https://doi.org/10.1137/20m1364370","mag":"2955954498"},"language":"en","primary_location":{"id":"doi:10.1137/20m1364370","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1364370","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2433/279146","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003089989","display_name":"Takehiro Ito","orcid":"https://orcid.org/0000-0002-9912-6898"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Takehiro Ito","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047111221","display_name":"Naonori Kakimura","orcid":"https://orcid.org/0000-0002-3918-3479"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Naonori Kakimura","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004110613","display_name":"Naoyuki Kamiyama","orcid":"https://orcid.org/0000-0002-7712-2730"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Naoyuki Kamiyama","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074548000","display_name":"Yusuke Kobayashi","orcid":"https://orcid.org/0000-0001-9478-7307"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yusuke Kobayashi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5080521209","display_name":"Yoshio Okamoto","orcid":"https://orcid.org/0000-0002-9826-7074"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yoshio Okamoto","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5003089989"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1115,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88287305,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"36","issue":"2","first_page":"1102","last_page":"1123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973999857902527,"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/T12288","display_name":"Optimization and Search Problems","score":0.9962000250816345,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8476828336715698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7722243070602417},{"id":"https://openalex.org/keywords/perfect-graph-theorem","display_name":"Perfect graph theorem","score":0.6552069783210754},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.5242417454719543},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5114282965660095},{"id":"https://openalex.org/keywords/strong-perfect-graph-theorem","display_name":"Strong perfect graph theorem","score":0.50079345703125},{"id":"https://openalex.org/keywords/perfect-graph","display_name":"Perfect graph","score":0.47640979290008545},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4735136330127716},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4486994445323944},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.43424665927886963},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.34347397089004517},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.2117428183555603},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.17930814623832703}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8476828336715698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7722243070602417},{"id":"https://openalex.org/C161487630","wikidata":"https://www.wikidata.org/wiki/Q2800071","display_name":"Perfect graph theorem","level":5,"score":0.6552069783210754},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.5242417454719543},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5114282965660095},{"id":"https://openalex.org/C51044901","wikidata":"https://www.wikidata.org/wiki/Q16680059","display_name":"Strong perfect graph theorem","level":5,"score":0.50079345703125},{"id":"https://openalex.org/C32972407","wikidata":"https://www.wikidata.org/wiki/Q1187620","display_name":"Perfect graph","level":5,"score":0.47640979290008545},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4735136330127716},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4486994445323944},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.43424665927886963},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.34347397089004517},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.2117428183555603},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.17930814623832703},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1364370","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1364370","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:irdb.nii.ac.jp:01221:0005692968","is_oa":true,"landing_page_url":"http://hdl.handle.net/2433/279146","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:01221:0005692968","is_oa":true,"landing_page_url":"http://hdl.handle.net/2433/279146","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2694817215","display_name":null,"funder_award_id":"JP17K19960","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G297154865","display_name":null,"funder_award_id":"15K00009","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3676594671","display_name":null,"funder_award_id":"JP16K16010","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4074647813","display_name":null,"funder_award_id":"JP19K11814","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G448790454","display_name":null,"funder_award_id":"JPMJPR1753","funder_id":"https://openalex.org/F4320338111","funder_display_name":"Precursory Research for Embryonic Science and Technology"},{"id":"https://openalex.org/G5389955879","display_name":null,"funder_award_id":"JPMJCR1402","funder_id":"https://openalex.org/F4320338075","funder_display_name":"Core Research for Evolutional Science and Technology"},{"id":"https://openalex.org/G6708678181","display_name":null,"funder_award_id":"JP20H05795","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G828470787","display_name":null,"funder_award_id":"JP17K00028","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8392028135","display_name":null,"funder_award_id":"JP18H05291","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8458087533","display_name":null,"funder_award_id":"JP18H04091","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G908247422","display_name":null,"funder_award_id":"JP20H05793","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320315724","display_name":"Kayamori Foundation of Informational Science Advancement","ror":null},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320338075","display_name":"Core Research for Evolutional Science and Technology","ror":"https://ror.org/00097mb19"},{"id":"https://openalex.org/F4320338111","display_name":"Precursory Research for Embryonic Science and Technology","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W34983847","https://openalex.org/W1491169489","https://openalex.org/W1573626259","https://openalex.org/W1846975517","https://openalex.org/W1985859952","https://openalex.org/W1987750368","https://openalex.org/W1997048861","https://openalex.org/W2000825158","https://openalex.org/W2008048468","https://openalex.org/W2010362899","https://openalex.org/W2017122944","https://openalex.org/W2058408846","https://openalex.org/W2059625366","https://openalex.org/W2077831283","https://openalex.org/W2087818742","https://openalex.org/W2110762325","https://openalex.org/W2132914290","https://openalex.org/W2145799305","https://openalex.org/W2149951504","https://openalex.org/W2151888904","https://openalex.org/W2163548699","https://openalex.org/W2258225879","https://openalex.org/W2754517646","https://openalex.org/W2757068865","https://openalex.org/W2767005068","https://openalex.org/W2803094153","https://openalex.org/W2809374263","https://openalex.org/W2909128280","https://openalex.org/W2911852840","https://openalex.org/W2912916233","https://openalex.org/W2942216670","https://openalex.org/W2962848607","https://openalex.org/W2962926282","https://openalex.org/W2962964818","https://openalex.org/W2963404973","https://openalex.org/W2976085618","https://openalex.org/W3022258227","https://openalex.org/W3044384704","https://openalex.org/W3102370784","https://openalex.org/W3104079118","https://openalex.org/W3105031228","https://openalex.org/W3129648991"],"related_works":["https://openalex.org/W1555810828","https://openalex.org/W2140124824","https://openalex.org/W2914244779","https://openalex.org/W2105838663","https://openalex.org/W2356906936","https://openalex.org/W4394636237","https://openalex.org/W2006942360","https://openalex.org/W2047104722","https://openalex.org/W2551888922","https://openalex.org/W2040555446"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"adjacency":[2],"in":[3,67,92],"perfect":[4,14,28,34,39,51,68],"matching":[5,35,40,69],"polytopes,":[6],"we":[7,20],"study":[8],"the":[9,43,62,74,96],"shortest":[10,25,64],"reconfiguration":[11],"problem":[12,58,66,75],"of":[13,27,46,49],"matchings":[15,29,52],"via":[16],"alternating":[17],"cycles.":[18],"Namely,":[19],"want":[21],"to":[22,36,61],"find":[23],"a":[24,54,80],"sequence":[26],"which":[30],"transforms":[31],"one":[32],"given":[33,38,81],"another":[37],"such":[41],"that":[42,73],"symmetric":[44],"difference":[45],"each":[47],"pair":[48],"consecutive":[50],"is":[53,59,76,83,98],"single":[55],"cycle.":[56],"The":[57],"equivalent":[60],"combinatorial":[63],"path":[65],"polytopes.":[70],"We":[71],"prove":[72],"NP-hard":[77],"even":[78],"when":[79,95],"graph":[82,97],"planar":[84],"or":[85],"bipartite,":[86],"but":[87],"it":[88],"can":[89],"be":[90],"solved":[91],"polynomial":[93],"time":[94],"outerplanar.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
