{"id":"https://openalex.org/W4379796487","doi":"https://doi.org/10.1007/s00453-023-01137-9","title":"Finding Matching Cuts in H-Free Graphs","display_name":"Finding Matching Cuts in H-Free Graphs","publication_year":2023,"publication_date":"2023-06-07","ids":{"openalex":"https://openalex.org/W4379796487","doi":"https://doi.org/10.1007/s00453-023-01137-9"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-023-01137-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-023-01137-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-023-01137-9.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-023-01137-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045385502","display_name":"Felicia Lucke","orcid":"https://orcid.org/0000-0002-9860-2928"},"institutions":[{"id":"https://openalex.org/I154338468","display_name":"University of Fribourg","ror":"https://ror.org/022fs9h90","country_code":"CH","type":"education","lineage":["https://openalex.org/I154338468"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Felicia Lucke","raw_affiliation_strings":["Department of Informatics, University of Fribourg, Fribourg, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Fribourg, Fribourg, Switzerland","institution_ids":["https://openalex.org/I154338468"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027487467","display_name":"Dani\u00ebl Paulusma","orcid":"https://orcid.org/0000-0001-5945-9287"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Dani\u00ebl Paulusma","raw_affiliation_strings":["Department of Computer Science, Durham University, Durham, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Durham University, Durham, UK","institution_ids":["https://openalex.org/I190082696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040690366","display_name":"Bernard Ries","orcid":"https://orcid.org/0000-0003-4395-5547"},"institutions":[{"id":"https://openalex.org/I154338468","display_name":"University of Fribourg","ror":"https://ror.org/022fs9h90","country_code":"CH","type":"education","lineage":["https://openalex.org/I154338468"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Bernard Ries","raw_affiliation_strings":["Department of Informatics, University of Fribourg, Fribourg, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Fribourg, Fribourg, Switzerland","institution_ids":["https://openalex.org/I154338468"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5027487467"],"corresponding_institution_ids":["https://openalex.org/I190082696"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.8024,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.87149556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"85","issue":"10","first_page":"3290","last_page":"3322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":1.0,"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":1.0,"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":0.9995999932289124,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.764579176902771},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6067036986351013},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4816981256008148},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4617040753364563},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4480215311050415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41514796018600464},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4053935706615448},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32999154925346375},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07624867558479309}],"concepts":[{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.764579176902771},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6067036986351013},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4816981256008148},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4617040753364563},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4480215311050415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41514796018600464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4053935706615448},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32999154925346375},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07624867558479309}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00453-023-01137-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-023-01137-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-023-01137-9.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:durham-repository.worktribe.com:1715385","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1715385","pdf_url":"https://durham-repository.worktribe.com/file/1715385/1/Published%20Journal%20Article%20%28Advance%20Online%20Version%29","source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s00453-023-01137-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-023-01137-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-023-01137-9.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4379796487.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1558167226","https://openalex.org/W1924888395","https://openalex.org/W1986824573","https://openalex.org/W1997541985","https://openalex.org/W2012246276","https://openalex.org/W2019627940","https://openalex.org/W2046680668","https://openalex.org/W2056827961","https://openalex.org/W2077416162","https://openalex.org/W2082548475","https://openalex.org/W2087872235","https://openalex.org/W2089191641","https://openalex.org/W2095269023","https://openalex.org/W2153737011","https://openalex.org/W2173904855","https://openalex.org/W2190210389","https://openalex.org/W2738197751","https://openalex.org/W2798321768","https://openalex.org/W2942029771","https://openalex.org/W2962956065","https://openalex.org/W2963678182","https://openalex.org/W2987461903","https://openalex.org/W2998596251","https://openalex.org/W3110459966","https://openalex.org/W3131349932","https://openalex.org/W3166674481","https://openalex.org/W3179053635","https://openalex.org/W3184379502","https://openalex.org/W3187874026","https://openalex.org/W3206485671","https://openalex.org/W4282919382","https://openalex.org/W4296666778"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1972035260","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W2066456778"],"abstract_inverted_index":{"Abstract":[0],"The":[1,72,90],"well-known":[2],"-complete":[3,127],"problem":[4],"Matching":[5,31,65],"Cut":[6,32,66],"is":[7,17,126],"to":[8,34,83,97],"decide":[9],"if":[10],"a":[11,14,84,99,109,141],"graph":[12,47],"has":[13],"matching":[15,78,86,95],"that":[16,38,41,76,106,122],"also":[18,54],"an":[19,50],"edge":[20],"cut":[21,79,96],"of":[22,64,87,143,149,166],"the":[23,77,88,94,123,150],"graph.":[24,89],"We":[25,53],"prove":[26,55,105],"new":[27,56],"complexity":[28,57,148,169],"results":[29,58],"for":[30,59,128,170],"restricted":[33],"H":[35,48,69,171],"-free":[36,70,137,172],"graphs,":[37],"is,":[39],"graphs":[40],"do":[42],"not":[43],"contain":[44],"some":[45],"fixed":[46],"as":[49],"induced":[51],"subgraph.":[52],"two":[60],"recently":[61],"studied":[62],"variants":[63],",":[67,156],"on":[68],"graphs.":[71,138,173],"first":[73,124],"variant":[74,92,125],"requires":[75,93],"must":[80],"be":[81,98],"extendable":[82],"perfect":[85,100],"second":[91],"matching.":[101],"In":[102],"particular,":[103],"we":[104,162],"there":[107],"exists":[108],"small":[110],"constant":[111],"$$r&gt;0$$":[112],"<mml:math":[113,130],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[114,131],"<mml:mrow>":[115],"<mml:mi>r</mml:mi>":[116,134],"<mml:mo>&gt;</mml:mo>":[117],"<mml:mn>0</mml:mn>":[118],"</mml:mrow>":[119],"</mml:math>":[120,136],"such":[121],"$$P_r$$":[129],"<mml:msub>":[132],"<mml:mi>P</mml:mi>":[133],"</mml:msub>":[135],"This":[139],"addresses":[140],"question":[142],"Bouquet":[144],"and":[145],"Picouleau":[146],"(The":[147],"Perfect":[151],"Matching-Cut":[152],"problem.":[153],"CoRR,":[154],"arXiv:2011.03318":[155],"(2020)).":[157],"For":[158],"all":[159],"three":[160],"problems,":[161],"give":[163],"state-of-the-art":[164],"summaries":[165],"their":[167],"computational":[168]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
