{"id":"https://openalex.org/W2517383840","doi":"https://doi.org/10.1137/130937603","title":"Single Commodity-Flow Algorithms for Lifts of Graphic and CoGraphic Matroids","display_name":"Single Commodity-Flow Algorithms for Lifts of Graphic and CoGraphic Matroids","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2517383840","doi":"https://doi.org/10.1137/130937603","mag":"2517383840"},"language":"en","primary_location":{"id":"doi:10.1137/130937603","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130937603","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/A5008146285","display_name":"Bertrand Guenin","orcid":"https://orcid.org/0000-0001-8661-6196"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bertrand Guenin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008182165","display_name":"Leanne Stuive","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leanne Stuive","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09907184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"3","first_page":"1775","last_page":"1797"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9203348159790039},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7207697629928589},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5742567181587219},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.5252962708473206},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.5180292725563049},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.5093942284584045},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.5080592632293701},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4547150135040283},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.45082777738571167},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4488351047039032},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4133802652359009},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3820781707763672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19887471199035645}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9203348159790039},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7207697629928589},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5742567181587219},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.5252962708473206},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.5180292725563049},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.5093942284584045},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.5080592632293701},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4547150135040283},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.45082777738571167},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4488351047039032},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4133802652359009},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3820781707763672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19887471199035645},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130937603","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130937603","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G3621976411","display_name":null,"funder_award_id":"N00014-12-1-0049","funder_id":"https://openalex.org/F4320338298","funder_display_name":"Office of Naval Research Global"},{"id":"https://openalex.org/G6070174684","display_name":null,"funder_award_id":"238811","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320338298","display_name":"Office of Naval Research Global","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1604158939","https://openalex.org/W1981295749","https://openalex.org/W2008264271","https://openalex.org/W2013664277","https://openalex.org/W2052136017","https://openalex.org/W2063835992","https://openalex.org/W2070851851","https://openalex.org/W2082001376","https://openalex.org/W2087892819","https://openalex.org/W2092176968","https://openalex.org/W2094667324","https://openalex.org/W2127402154","https://openalex.org/W2170662028","https://openalex.org/W4205775998","https://openalex.org/W4213060883"],"related_works":["https://openalex.org/W2058489697","https://openalex.org/W2072414647","https://openalex.org/W4367050287","https://openalex.org/W2400862597","https://openalex.org/W2106412416","https://openalex.org/W2625145881","https://openalex.org/W2046319394","https://openalex.org/W1984819493","https://openalex.org/W2106233458","https://openalex.org/W2159059797"],"abstract_inverted_index":{"Consider":[0],"a":[1,16,19],"binary":[2],"matroid":[3],"$M$":[4,14,32,48],"given":[5],"by":[6],"its":[7],"matrix":[8],"representation.":[9],"We":[10],"show":[11],"that":[12],"if":[13],"is":[15,65],"lift":[17],"of":[18,31,36,69],"graphic":[20],"or":[21,49],"cographic":[22],"matroid,":[23],"then":[24],"in":[25],"polynomial":[26],"time":[27],"(in":[28],"the":[29,37,43,55,80],"size":[30],"and":[33],"encoding":[34],"length":[35],"weights)":[38],"we":[39],"can":[40],"either":[41],"solve":[42],"single":[44],"commodity-flow":[45],"problem":[46],"for":[47,53,72],"find":[50],"an":[51,66],"obstruction":[52],"which":[54],"max-flow":[56],"min-cut":[57],"relation":[58],"does":[59],"not":[60],"hold.":[61],"The":[62],"key":[63],"tool":[64,77],"algorithmic":[67],"version":[68],"Lehman's":[70],"theorem":[71],"set":[73],"covering":[74],"polyhedra.":[75],"This":[76],"relies":[78],"on":[79],"ellipsoid":[81],"method.":[82]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
