{"id":"https://openalex.org/W4362598956","doi":"https://doi.org/10.4230/lipics.mfcs.2023.64","title":"Dichotomies for Maximum Matching Cut: $H$-Freeness, Bounded Diameter, Bounded Radius","display_name":"Dichotomies for Maximum Matching Cut: $H$-Freeness, Bounded Diameter, Bounded Radius","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4362598956","doi":"https://doi.org/10.4230/lipics.mfcs.2023.64"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2304.01099","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.01099","pdf_url":"https://arxiv.org/pdf/2304.01099","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2304.01099","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":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lucke, Felicia","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027487467","display_name":"Dani\u00ebl Paulusma","orcid":"https://orcid.org/0000-0001-5945-9287"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paulusma, Dani\u00ebl","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5040690366","display_name":"Bernard Ries","orcid":"https://orcid.org/0000-0003-4395-5547"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ries, Bernard","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045385502"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3898,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62250249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9897000193595886,"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 theory and applications","score":0.9743000268936157,"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/combinatorics","display_name":"Combinatorics","score":0.7988972663879395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7823919057846069},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.7696079015731812},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6670483350753784},{"id":"https://openalex.org/keywords/3-dimensional-matching","display_name":"3-dimensional matching","score":0.5842061042785645},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5732865333557129},{"id":"https://openalex.org/keywords/factor-critical-graph","display_name":"Factor-critical graph","score":0.48648306727409363},{"id":"https://openalex.org/keywords/maximum-cut","display_name":"Maximum cut","score":0.45452985167503357},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4232773780822754},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41105571389198303},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.32651132345199585},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07355186343193054},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.07193219661712646}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7988972663879395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7823919057846069},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.7696079015731812},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6670483350753784},{"id":"https://openalex.org/C72545166","wikidata":"https://www.wikidata.org/wiki/Q10866593","display_name":"3-dimensional matching","level":4,"score":0.5842061042785645},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5732865333557129},{"id":"https://openalex.org/C36038622","wikidata":"https://www.wikidata.org/wiki/Q5428703","display_name":"Factor-critical graph","level":5,"score":0.48648306727409363},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.45452985167503357},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4232773780822754},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41105571389198303},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.32651132345199585},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07355186343193054},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.07193219661712646},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:arXiv.org:2304.01099","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.01099","pdf_url":"https://arxiv.org/pdf/2304.01099","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:drops-oai.dagstuhl.de:18598","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2023.64","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol272-mfcs2023/LIPIcs.MFCS.2023.64/LIPIcs.MFCS.2023.64.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"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":"","raw_type":"InProceedings"},{"id":"pmh:oai:durham-repository.worktribe.com:2063716","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/2063716","pdf_url":"https://durham-repository.worktribe.com/preview/2077984/2063716VoR.pdf","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"},{"id":"doi:10.48550/arxiv.2304.01099","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2304.01099","pdf_url":null,"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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.4230/lipics.mfcs.2023.64","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.mfcs.2023.64","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2304.01099","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.01099","pdf_url":"https://arxiv.org/pdf/2304.01099","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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4362598956.pdf","grobid_xml":"https://content.openalex.org/works/W4362598956.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2184969544","https://openalex.org/W2979293815","https://openalex.org/W2294202115","https://openalex.org/W2352066879","https://openalex.org/W2078159548","https://openalex.org/W2080136900","https://openalex.org/W2094363475","https://openalex.org/W2364074136","https://openalex.org/W2507285725"],"abstract_inverted_index":{"The":[0],"(Perfect)":[1],"Matching":[2,30,34,74,95,163],"Cut":[3,31,35,75,96],"problem":[4,160],"is":[5,22,45,78,115,164],"to":[6,38,79],"decide":[7],"if":[8],"a":[9,13,18,47,68,81,86,112,116,121,138,143,175],"graph":[10,113,149],"$G$":[11,114],"has":[12],"(perfect)":[14,19],"matching":[15,20,43,48,83,110,118,122,141,145],"cut,":[16],"i.e.,":[17],"that":[21,119,157],"also":[23,46,127],"an":[24],"edge":[25],"cut":[26,44,49,84,123,146],"of":[27,53,59,93,99,111,124],"$G$.":[28,125],"Both":[29],"and":[32,104,182],"Perfect":[33,162],"are":[36],"known":[37,176],"be":[39,134],"NP-complete.":[40],"A":[41,107],"perfect":[42,109,117,140],"with":[50,142],"maximum":[51],"number":[52],"edges.":[54],"To":[55],"increase":[56],"our":[57,130],"understanding":[58],"the":[60,63,72,158],"relationship":[61],"between":[62],"two":[64],"problems,":[65],"we":[66,154],"perform":[67],"complexity":[69],"study":[70],"for":[71,97,136,147,167,170,178],"Maximum":[73,94],"problem,":[76],"which":[77],"determine":[80],"largest":[82,144],"in":[85],"graph.":[87],"Our":[88],"results":[89],"yield":[90],"full":[91],"dichotomies":[92],"graphs":[98,169,180],"bounded":[100,102],"diameter,":[101],"radius":[103],"$H$-free":[105],"graphs.":[106],"disconnected":[108,139],"contains":[120],"We":[126],"show":[128],"how":[129],"new":[131],"techniques":[132],"can":[133,155],"used":[135],"finding":[137],"special":[148],"classes.":[150],"In":[151],"this":[152],"way":[153],"prove":[156],"decision":[159],"Disconnected":[161],"polynomial-time":[165],"solvable":[166],"$(P_6+sP_2)$-free":[168],"every":[171],"$s\\geq":[172],"0$,":[173],"extending":[174],"result":[177],"$P_5$-free":[179],"(Bouquet":[181],"Picouleau,":[183],"2020).":[184]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-19T08:26:33.389920","created_date":"2025-10-10T00:00:00"}
