{"id":"https://openalex.org/W2007533067","doi":"https://doi.org/10.1137/s0895480195287723","title":"On Integer Multiflow Maximization","display_name":"On Integer Multiflow Maximization","publication_year":1997,"publication_date":"1997-02-01","ids":{"openalex":"https://openalex.org/W2007533067","doi":"https://doi.org/10.1137/s0895480195287723","mag":"2007533067"},"language":"en","primary_location":{"id":"doi:10.1137/s0895480195287723","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480195287723","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/A5091492325","display_name":"Andr\u00e1s Frank","orcid":"https://orcid.org/0000-0001-6161-4848"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Andr\u00e1s Frank","raw_affiliation_strings":["E\u00f6tv\u00f6s L\u00f3r\u00e1nd Tudom\u00e1nyegyetem"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"E\u00f6tv\u00f6s L\u00f3r\u00e1nd Tudom\u00e1nyegyetem","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111563320","display_name":"Alexander V. Karzanov","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexander V. Karzanov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5109588085","display_name":"Andr\u00e1s Seb\u0151","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andr\u00e1s Sebo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0456,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.86014373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"1","first_page":"158","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9894000291824341,"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":0.9894000291824341,"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/T10142","display_name":"Formal Methods in Verification","score":0.972100019454956,"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":0.9653000235557556,"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/mathematics","display_name":"Mathematics","score":0.7484117150306702},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5379346609115601},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5022175312042236},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.4866238534450531},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4508386552333832},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.4396669864654541},{"id":"https://openalex.org/keywords/combinatorial-proof","display_name":"Combinatorial proof","score":0.4346126914024353},{"id":"https://openalex.org/keywords/intersection-theorem","display_name":"Intersection theorem","score":0.4185437262058258},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4093478322029114},{"id":"https://openalex.org/keywords/brouwer-fixed-point-theorem","display_name":"Brouwer fixed-point theorem","score":0.32021191716194153},{"id":"https://openalex.org/keywords/danskins-theorem","display_name":"Danskin's theorem","score":0.2447199523448944}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7484117150306702},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5379346609115601},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5022175312042236},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.4866238534450531},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4508386552333832},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.4396669864654541},{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.4346126914024353},{"id":"https://openalex.org/C119050217","wikidata":"https://www.wikidata.org/wiki/Q17101806","display_name":"Intersection theorem","level":5,"score":0.4185437262058258},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4093478322029114},{"id":"https://openalex.org/C146147875","wikidata":"https://www.wikidata.org/wiki/Q1144897","display_name":"Brouwer fixed-point theorem","level":3,"score":0.32021191716194153},{"id":"https://openalex.org/C48540410","wikidata":"https://www.wikidata.org/wiki/Q5221089","display_name":"Danskin's theorem","level":4,"score":0.2447199523448944},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/s0895480195287723","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480195287723","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:CiteSeerX.psu:10.1.1.54.1924","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.1924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.elte.hu/~frank/pub/UUMAX.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.47999998927116394,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1986334784","https://openalex.org/W2113227678","https://openalex.org/W4210485603"],"related_works":["https://openalex.org/W3160581193","https://openalex.org/W561403299","https://openalex.org/W2364314673","https://openalex.org/W1891709587","https://openalex.org/W1991772702","https://openalex.org/W208813653","https://openalex.org/W2357252996","https://openalex.org/W300031697","https://openalex.org/W122476422","https://openalex.org/W3129624323"],"abstract_inverted_index":{"Generalizing":[0],"the":[1,16,82,99,111,147,153,165],"two-commodity":[2],"flow":[3],"theorem":[4,18,59,114,172],"of":[5,19,81,92,106,115,146,155,164],"Rothschild":[6],"and":[7,15,30,39,69,71,108,110,119,128,133],"Whinston":[8],"[Oper.":[9],"Res.,":[10],"14":[11],"(1966),":[12],"pp.":[13,28,36,52,136],"377--387]":[14],"multiflow":[17],"Lov\u00e1sz":[20],"[Acta":[21],"Mat.":[22],"Akad.":[23],"Sci.":[24],"Hungaricae,":[25],"28":[26],"(1976),":[27],"129--138]":[29],"Cherkasky":[31],"[Ekonom.-Mat.":[32],"Metody,":[33],"13":[34],"(1977),":[35],"143--151],":[37],"Karzanov":[38,107],"Lomonosov":[40],"[Mathematical":[41],"Programming,":[42],"O.":[43],"I.":[44],"Larichev,":[45],"ed.,":[46],"Institute":[47],"for":[48],"System":[49],"Studies,":[50],"1978,":[51],"59--66]":[53],"in":[54],"1978":[55],"proved":[56],"a":[57,88,143,156,170],"min-max":[58],"on":[60,73,98],"maximum":[61],"multiflows.":[62],"Their":[63,120],"original":[64],"proof":[65,91,96,145],"is":[66,85,103],"quite":[67],"long":[68],"technical":[70],"relies":[72,97],"earlier":[74],"investigations":[75],"into":[76],"metrics.":[77],"The":[78,175],"main":[79],"purpose":[80],"present":[83],"paper":[84],"to":[86,180],"provide":[87,142],"relatively":[89],"simple":[90],"this":[93],"theorem.":[94,149],"Our":[95],"locking":[100,148,166],"theorem,":[101,167],"which":[102],"another":[104,162],"result":[105],"Lomonosov,":[109],"polymatroid":[112],"intersection":[113],"Edmonds":[116],"[Combinatorial":[117],"Structures":[118],"Applications,":[121],"R.":[122],"Guy,":[123],"H.":[124],"Hanani,":[125],"N.":[126],"Sauer,":[127],"J.":[129],"Sch\u00f6nheim,":[130],"eds.,":[131],"Gordon":[132],"Breach,":[134],"1970,":[135],"69--87].":[137],"For":[138],"completeness,":[139],"we":[140,151,168],"also":[141],"simplified":[144],"Finally,":[150],"introduce":[152],"notion":[154],"node":[157],"demand":[158],"problem":[159],"and,":[160],"as":[161],"application":[163],"derive":[169],"feasibility":[171],"concerning":[173],"it.":[174],"presented":[176],"approach":[177],"gives":[178],"rise":[179],"(combinatorial)":[181],"polynomial-time":[182],"algorithms.":[183]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}