{"id":"https://openalex.org/W2146728909","doi":"https://doi.org/10.1145/2090236.2090268","title":"Multicommodity flows and cuts in polymatroidal networks","display_name":"Multicommodity flows and cuts in polymatroidal networks","publication_year":2012,"publication_date":"2012-01-08","ids":{"openalex":"https://openalex.org/W2146728909","doi":"https://doi.org/10.1145/2090236.2090268","mag":"2146728909"},"language":"en","primary_location":{"id":"doi:10.1145/2090236.2090268","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2090236.2090268","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 3rd Innovations in Theoretical Computer Science Conference","raw_type":"proceedings-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/A5036503505","display_name":"Chandra Chekuri","orcid":"https://orcid.org/0000-0003-3035-1699"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chandra Chekuri","raw_affiliation_strings":["University of Illinois, Urbana-Champaign, IL","University of Illinois, Urbana-Champaign, IL;"],"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, IL","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, IL;","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100722219","display_name":"Sreeram Kannan","orcid":"https://orcid.org/0000-0001-8843-2964"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sreeram Kannan","raw_affiliation_strings":["University of Illinois, Urbana-Champaign, IL","University of Illinois, Urbana-Champaign, IL;"],"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, IL","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, IL;","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102017493","display_name":"Adnan Raja","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adnan Raja","raw_affiliation_strings":["University of Illinois, Urbana-Champaign, IL","University of Illinois, Urbana-Champaign, IL;"],"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, IL","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, IL;","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053980484","display_name":"Pramod Viswanath","orcid":"https://orcid.org/0000-0003-3171-8667"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pramod Viswanath","raw_affiliation_strings":["University of Illinois, Urbana-Champaign, IL","University of Illinois, Urbana-Champaign, IL;"],"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, IL","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois, Urbana-Champaign, IL;","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5036503505"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":3.7064,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.93609104,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"399","last_page":"408"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9983999729156494,"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/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9972000122070312,"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/submodular-set-function","display_name":"Submodular set function","score":0.9582201242446899},{"id":"https://openalex.org/keywords/multi-commodity-flow-problem","display_name":"Multi-commodity flow problem","score":0.6762205362319946},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6034047603607178},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.550888180732727},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5472211837768555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5390036106109619},{"id":"https://openalex.org/keywords/information-flow","display_name":"Information flow","score":0.5113548636436462},{"id":"https://openalex.org/keywords/maximum-flow-problem","display_name":"Maximum flow problem","score":0.4937981069087982},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.4850122630596161},{"id":"https://openalex.org/keywords/commodity","display_name":"Commodity","score":0.41806337237358093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38999566435813904},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3364807367324829},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32022354006767273},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.13411381840705872},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11325708031654358}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9582201242446899},{"id":"https://openalex.org/C170334043","wikidata":"https://www.wikidata.org/wiki/Q6934437","display_name":"Multi-commodity flow problem","level":3,"score":0.6762205362319946},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6034047603607178},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.550888180732727},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5472211837768555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5390036106109619},{"id":"https://openalex.org/C2779136372","wikidata":"https://www.wikidata.org/wiki/Q10283002","display_name":"Information flow","level":2,"score":0.5113548636436462},{"id":"https://openalex.org/C157469704","wikidata":"https://www.wikidata.org/wiki/Q2585642","display_name":"Maximum flow problem","level":2,"score":0.4937981069087982},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.4850122630596161},{"id":"https://openalex.org/C2779439359","wikidata":"https://www.wikidata.org/wiki/Q317088","display_name":"Commodity","level":2,"score":0.41806337237358093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38999566435813904},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3364807367324829},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32022354006767273},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13411381840705872},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11325708031654358},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2090236.2090268","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2090236.2090268","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 3rd Innovations in Theoretical Computer Science Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2165603332","display_name":null,"funder_award_id":"CCF 1016684CCF 1017430CNS 0721652","funder_id":"https://openalex.org/F4320337388","funder_display_name":"Division of Computer and Network Systems"},{"id":"https://openalex.org/G2747663025","display_name":null,"funder_award_id":"CCF 1016684CCF 1017430CNS 0721652","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"}],"funders":[{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"},{"id":"https://openalex.org/F4320337388","display_name":"Division of Computer and Network Systems","ror":"https://ror.org/02rdzmk74"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W48861618","https://openalex.org/W1492707495","https://openalex.org/W1498671329","https://openalex.org/W1560551754","https://openalex.org/W1572332593","https://openalex.org/W1604158939","https://openalex.org/W1695878779","https://openalex.org/W1973248112","https://openalex.org/W1974018476","https://openalex.org/W1974657465","https://openalex.org/W1981351071","https://openalex.org/W1986291656","https://openalex.org/W2004322147","https://openalex.org/W2007494434","https://openalex.org/W2007806267","https://openalex.org/W2008362572","https://openalex.org/W2009924457","https://openalex.org/W2012737834","https://openalex.org/W2017713020","https://openalex.org/W2017967704","https://openalex.org/W2021130692","https://openalex.org/W2032684479","https://openalex.org/W2042899161","https://openalex.org/W2043520568","https://openalex.org/W2043913312","https://openalex.org/W2044343300","https://openalex.org/W2049609719","https://openalex.org/W2062157728","https://openalex.org/W2063491776","https://openalex.org/W2076164610","https://openalex.org/W2078714635","https://openalex.org/W2086904111","https://openalex.org/W2088844265","https://openalex.org/W2091004914","https://openalex.org/W2098492709","https://openalex.org/W2102797665","https://openalex.org/W2106765508","https://openalex.org/W2107881198","https://openalex.org/W2109962983","https://openalex.org/W2119003693","https://openalex.org/W2121768991","https://openalex.org/W2124531440","https://openalex.org/W2127114399","https://openalex.org/W2133017912","https://openalex.org/W2138784417","https://openalex.org/W2146728909","https://openalex.org/W2150148016","https://openalex.org/W2151393719","https://openalex.org/W2154876245","https://openalex.org/W2159865476","https://openalex.org/W2163175782","https://openalex.org/W2168505046","https://openalex.org/W2171471340","https://openalex.org/W2176446742","https://openalex.org/W2610755752","https://openalex.org/W2621717961","https://openalex.org/W2988480584","https://openalex.org/W4285719527","https://openalex.org/W6654698034"],"related_works":["https://openalex.org/W3035974271","https://openalex.org/W3141113327","https://openalex.org/W2098682899","https://openalex.org/W4206915070","https://openalex.org/W3161514703","https://openalex.org/W2080904092","https://openalex.org/W2531764854","https://openalex.org/W1994440468","https://openalex.org/W2368069542","https://openalex.org/W4311255633"],"abstract_inverted_index":{"We":[0],"consider":[1],"multicommodity":[2,67],"flow":[3,46,90],"and":[4,29,32,39,50],"cut":[5],"problems":[6],"in":[7,35,58,91],"polymatroidal":[8],"networks":[9,24,64],"where":[10],"there":[11],"are":[12,40,76],"submodular":[13,45],"capacity":[14],"constraints":[15],"on":[16],"the":[17,36,44,53,66,74],"edges":[18],"incident":[19],"to":[20,43,88],"a":[21],"node.":[22],"Polymatroidal":[23,63],"were":[25],"introduced":[26],"by":[27,86],"Lawler":[28],"Martel":[30],"[20]":[31],"Hassin":[33],"[15]":[34],"single-commodity":[37],"setting":[38],"closely":[41],"related":[42],"model":[47],"of":[48],"Edmonds":[49],"Giles":[51],"[10];":[52],"well-known":[54],"maxflow-mincut":[55],"theorem":[56],"holds":[57],"this":[59],"more":[60],"general":[61],"setting.":[62],"for":[65],"case":[68],"have":[69],"not,":[70],"as":[71,73],"far":[72],"authors":[75],"aware,":[77],"been":[78],"previously":[79],"explored.":[80],"Our":[81],"work":[82],"is":[83],"primarily":[84],"motivated":[85],"applications":[87],"information":[89],"wireless":[92],"networks.":[93]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}