{"id":"https://openalex.org/W2037713871","doi":"https://doi.org/10.1137/060664793","title":"Odd Minimum Cut Sets and <i>b</i>-Matchings Revisited","display_name":"Odd Minimum Cut Sets and <i>b</i>-Matchings Revisited","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2037713871","doi":"https://doi.org/10.1137/060664793","mag":"2037713871"},"language":"en","primary_location":{"id":"doi:10.1137/060664793","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060664793","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004954937","display_name":"Adam N. Letchford","orcid":"https://orcid.org/0000-0002-3191-5006"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Adam N. Letchford","raw_affiliation_strings":["A.N.Letchford@lancaster.ac.uk#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"A.N.Letchford@lancaster.ac.uk#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000892313","display_name":"Gerhard Reinelt","orcid":"https://orcid.org/0000-0002-7193-501X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gerhard Reinelt","raw_affiliation_strings":["Gerhard.Reinelt@informatik.uni-heidelberg.de#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Gerhard.Reinelt@informatik.uni-heidelberg.de#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070611630","display_name":"Dirk Oliver Theis","orcid":"https://orcid.org/0000-0002-9362-0748"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dirk Oliver Theis","raw_affiliation_strings":["Dirk.Theis@ulb.ac.be#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dirk.Theis@ulb.ac.be#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.3058,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.95482476,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"4","first_page":"1480","last_page":"1487"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.8404968976974487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.730038046836853},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.6541190147399902},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6479603052139282},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5810052156448364},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.5047510862350464},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4102628827095032},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05609619617462158}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8404968976974487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.730038046836853},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.6541190147399902},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6479603052139282},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5810052156448364},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.5047510862350464},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4102628827095032},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05609619617462158},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/060664793","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060664793","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:dipot.ulb.ac.be:2013/195902","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/195902","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM journal on discrete mathematics, 22 (4","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3421263000","display_name":null,"funder_award_id":"EP/D072662/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3770417879","display_name":null,"funder_award_id":"EP/F033613/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W37994088","https://openalex.org/W109597122","https://openalex.org/W1540760152","https://openalex.org/W1570187551","https://openalex.org/W1604832336","https://openalex.org/W1971846459","https://openalex.org/W1991119408","https://openalex.org/W2017070898","https://openalex.org/W2033662447","https://openalex.org/W2034113359","https://openalex.org/W2053944393","https://openalex.org/W2089731376","https://openalex.org/W2090359754","https://openalex.org/W2100440346","https://openalex.org/W2115049345","https://openalex.org/W2123805664","https://openalex.org/W2327315803","https://openalex.org/W2412657279"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W2896131632","https://openalex.org/W2391438543","https://openalex.org/W2008231869","https://openalex.org/W323119424","https://openalex.org/W2551069560","https://openalex.org/W1972258194","https://openalex.org/W2522231841","https://openalex.org/W2997473813","https://openalex.org/W4250631474"],"abstract_inverted_index":{"The":[0],"famous":[1],"Padberg\u2013Rao":[2],"separation":[3],"algorithm":[4,34],"for":[5,35],"b-matching":[6],"polyhedra":[7],"can":[8,40],"be":[9,41],"implemented":[10,42],"to":[11,43],"run":[12,44],"in":[13,16,21,24,45],"$\\mathcal{O}(|V|^2|E|\\log(|V|^2/|E|))$":[14,46],"time":[15,23],"the":[17,25,36],"uncapacitated":[18],"case,":[19],"and":[20,32],"$\\mathcal{O}(|V||E|^2\\log(|V|^2/|E|))$":[22],"capacitated":[26,37],"case.":[27],"We":[28],"give":[29],"a":[30],"new":[31],"simple":[33],"case":[38],"which":[39],"time.":[47]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}