{"id":"https://openalex.org/W2111999854","doi":"https://doi.org/10.1137/130906830","title":"Multicommodity Flows and Cuts in Polymatroidal Networks","display_name":"Multicommodity Flows and Cuts in Polymatroidal Networks","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2111999854","doi":"https://doi.org/10.1137/130906830","mag":"2111999854"},"language":"en","primary_location":{"id":"doi:10.1137/130906830","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130906830","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","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/A5104389359","display_name":"Chandra Chekuri","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Chandra Chekuri","raw_affiliation_strings":[],"affiliations":[]},{"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/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sreeram Kannan","raw_affiliation_strings":["University of Washington"],"affiliations":[{"raw_affiliation_string":"University of Washington","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102017493","display_name":"Adnan Raja","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Adnan Raja","raw_affiliation_strings":["Fastback Networks"],"affiliations":[{"raw_affiliation_string":"Fastback Networks","institution_ids":[]}]},{"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/I4400573203","display_name":"Nature Inspires Creativity Engineers Lab","ror":"https://ror.org/02bczqy30","country_code":null,"type":"facility","lineage":["https://openalex.org/I201841394","https://openalex.org/I4400573203"]}],"countries":[],"is_corresponding":false,"raw_author_name":"Pramod Viswanath","raw_affiliation_strings":["Coordinated Science Lab"],"affiliations":[{"raw_affiliation_string":"Coordinated Science Lab","institution_ids":["https://openalex.org/I4400573203"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5104389359"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.701,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73527086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"44","issue":"4","first_page":"912","last_page":"943"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991999864578247,"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/T10720","display_name":"Complexity and Algorithms in Graphs","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/T10374","display_name":"Advanced Graph Theory Research","score":0.9980999827384949,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9952999949455261,"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":0.9547451734542847},{"id":"https://openalex.org/keywords/multi-commodity-flow-problem","display_name":"Multi-commodity flow problem","score":0.5861608386039734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5714994668960571},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5458316206932068},{"id":"https://openalex.org/keywords/minimum-cut","display_name":"Minimum cut","score":0.52006596326828},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.5091635584831238},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5067477822303772},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.503771960735321},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.4857519268989563},{"id":"https://openalex.org/keywords/maximum-flow-problem","display_name":"Maximum flow problem","score":0.4809688627719879},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46573391556739807},{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.46169933676719666},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4502791166305542},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.45000317692756653},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41301143169403076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3642621636390686}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9547451734542847},{"id":"https://openalex.org/C170334043","wikidata":"https://www.wikidata.org/wiki/Q6934437","display_name":"Multi-commodity flow problem","level":3,"score":0.5861608386039734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5714994668960571},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5458316206932068},{"id":"https://openalex.org/C185690422","wikidata":"https://www.wikidata.org/wiki/Q6865438","display_name":"Minimum cut","level":2,"score":0.52006596326828},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.5091635584831238},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5067477822303772},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.503771960735321},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.4857519268989563},{"id":"https://openalex.org/C157469704","wikidata":"https://www.wikidata.org/wiki/Q2585642","display_name":"Maximum flow problem","level":2,"score":0.4809688627719879},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46573391556739807},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.46169933676719666},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4502791166305542},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.45000317692756653},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41301143169403076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3642621636390686},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/130906830","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130906830","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.413.9188","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.413.9188","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ifp.illinois.edu/~pramodv/pubs/itcs.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.428.6765","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.428.6765","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.berkeley.edu/~ksreeram/UIUC_Polymatroid_Sicomp.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.749.3873","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.749.3873","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1110.6832.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W48861618","https://openalex.org/W1604158939","https://openalex.org/W1963501983","https://openalex.org/W1986291656","https://openalex.org/W2004322147","https://openalex.org/W2007494434","https://openalex.org/W2007806267","https://openalex.org/W2009924457","https://openalex.org/W2012737834","https://openalex.org/W2017967704","https://openalex.org/W2021130692","https://openalex.org/W2028404924","https://openalex.org/W2032684479","https://openalex.org/W2043520568","https://openalex.org/W2043913312","https://openalex.org/W2044343300","https://openalex.org/W2062157728","https://openalex.org/W2063491776","https://openalex.org/W2076164610","https://openalex.org/W2091004914","https://openalex.org/W2094067695","https://openalex.org/W2107881198","https://openalex.org/W2109962983","https://openalex.org/W2121768991","https://openalex.org/W2124531440","https://openalex.org/W2132651631","https://openalex.org/W2133017912","https://openalex.org/W2138784417","https://openalex.org/W2150148016","https://openalex.org/W2154876245","https://openalex.org/W2159454021","https://openalex.org/W2159865476","https://openalex.org/W2163175782","https://openalex.org/W2176446742","https://openalex.org/W2610755752","https://openalex.org/W3100592823","https://openalex.org/W3121660951"],"related_works":["https://openalex.org/W2186707160","https://openalex.org/W2080904092","https://openalex.org/W2141353198","https://openalex.org/W1974018476","https://openalex.org/W2590727506","https://openalex.org/W3141113327","https://openalex.org/W2401819591","https://openalex.org/W2111999854","https://openalex.org/W2041446334","https://openalex.org/W192261506"],"abstract_inverted_index":{"We":[0,114,143],"consider":[1,116],"multicommodity":[2,89,261],"flow":[3,62,110,160,180,274],"and":[4,29,38,55,66,123,134,138,226,236,250,257,263,277,288],"cut":[5],"problems":[6],"in":[7,51,80,111,136,148,156,188,270,292],"polymatroidal":[8,121,205],"networks":[9,24,86,122,206],"where":[10,162],"there":[11],"are":[12,56,96,164,172],"submodular":[13,61,186,224],"capacity":[14],"constraints":[15],"on":[16,165,174,198,215,259],"the":[17,52,60,75,88,117,157,166,176,179,190,216,219,252,293],"edges":[18,167],"incident":[19],"to":[20,59,108,131,207],"a":[21,128,199,223],"node.":[22],"Polymatroidal":[23,85],"were":[25],"introduced":[26,233],"by":[27,106,234],"Lawler":[28],"Martel":[30],"[Math.":[31],"Oper.":[32],"Res.,":[33],"7":[34],"(1982),":[35],"pp.":[36,73,243,286],"334--347]":[37],"Hassin":[39],"[On":[40],"Network":[41],"Flows,":[42],"Ph.D.":[43],"dissertation,":[44],"Yale":[45],"University,":[46],"New":[47],"Haven,":[48],"CT,":[49],"1978]":[50],"single-commodity":[53],"setting":[54],"closely":[57],"related":[58],"model":[63],"of":[64,119,178,185,222,254],"Edmonds":[65],"Giles":[67],"[Ann.":[68],"Discrete":[69],"Math.,":[70,240],"1":[71],"(1977),":[72],"185--204];":[74],"well-known":[76],"maxflow-mincut":[77],"theorem":[78],"holds":[79],"this":[81,245],"more":[82],"general":[83],"setting.":[84],"for":[87],"case":[90],"have":[91,152,267],"not,":[92],"as":[93],"far":[94],"we":[95,196,213,289],"aware,":[97],"been":[98,153],"previously":[99,154],"explored.":[100],"Our":[101,170,265],"work":[102,253],"is":[103,247],"primarily":[104],"motivated":[105],"applications":[107,269],"information":[109,273],"wireless":[112,271],"networks.":[113,142,209],"also":[115],"notion":[118],"undirected":[120,141,211],"observe":[124],"that":[125,151],"they":[126],"provide":[127],"natural":[129],"way":[130],"generalize":[132],"flows":[133,262],"cuts":[135],"edge":[137],"node":[139],"capacitated":[140],"establish":[144],"flow-cut":[145],"gap":[146],"results":[147,171,266],"several":[149],"scenarios":[150],"considered":[155],"standard":[158,208],"network":[159,272],"models":[161],"capacities":[163],"or":[168],"nodes.":[169],"based":[173],"analyzing":[175],"dual":[177],"relaxations":[181],"via":[182],"continuous":[183],"extensions":[184],"functions,":[187],"particular,":[189],"Lov\u00e1sz":[191,220],"extension.":[192],"For":[193,210],"directed":[194],"graphs":[195,212],"rely":[197,214],"simple":[200],"yet":[201],"useful":[202],"reduction":[203],"from":[204],"interplay":[217],"between":[218],"extension":[221],"function":[225],"line":[227],"embeddings":[228],"with":[229],"low":[230],"average":[231],"distortion":[232],"Matousek":[235],"Rabinovich":[237],"[Israel":[238],"J.":[239],"123":[241],"(2001),":[242],"285--301];":[244],"connection":[246],"inspired":[248],"by,":[249],"generalizes,":[251],"Feige,":[255],"Hajiaghayi,":[256],"Lee":[258],"node-capacitated":[260],"cuts.":[264],"found":[268],"[S.":[275],"Kannan":[276],"P.":[278],"Viswanath,":[279],"IEEE":[280],"Trans.":[281],"Inform.":[282],"Theory,":[283],"60":[284],"(2014),":[285],"6303--6328]":[287],"anticipate":[290],"others":[291],"future.":[294]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
