{"id":"https://openalex.org/W1971387646","doi":"https://doi.org/10.1016/s0166-218x(87)80002-1","title":"Half-integral five-terminus flows","display_name":"Half-integral five-terminus flows","publication_year":1987,"publication_date":"1987-12-01","ids":{"openalex":"https://openalex.org/W1971387646","doi":"https://doi.org/10.1016/s0166-218x(87)80002-1","mag":"1971387646"},"language":"en","primary_location":{"id":"doi:10.1016/s0166-218x(87)80002-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(87)80002-1","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied 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/A5112084360","display_name":"A. V. Karzanov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210121062","display_name":"Research Institute for System Studies","ror":"https://ror.org/02smvmz76","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210121062"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A.V. Karzanov","raw_affiliation_strings":["Institute for System Studies, Prospect 60 let Oktyabrya, 9, 117312 Moscow, USSR","Institute for System Studies, Moscow, USSR#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for System Studies, Prospect 60 let Oktyabrya, 9, 117312 Moscow, USSR","institution_ids":["https://openalex.org/I4210121062"]},{"raw_affiliation_string":"Institute for System Studies, Moscow, USSR#TAB#","institution_ids":["https://openalex.org/I4210121062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112084360"],"corresponding_institution_ids":["https://openalex.org/I4210121062"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":1.0651,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.72743832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"3","first_page":"263","last_page":"278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991000294685364,"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":0.9991000294685364,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.989799976348877,"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/mathematics","display_name":"Mathematics","score":0.9119722843170166},{"id":"https://openalex.org/keywords/multi-commodity-flow-problem","display_name":"Multi-commodity flow problem","score":0.7098685503005981},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.567042887210846},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.535456657409668},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4838363230228424},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4269866943359375},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4104292392730713},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.34391045570373535},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07521593570709229}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9119722843170166},{"id":"https://openalex.org/C170334043","wikidata":"https://www.wikidata.org/wiki/Q6934437","display_name":"Multi-commodity flow problem","level":3,"score":0.7098685503005981},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.567042887210846},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.535456657409668},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4838363230228424},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4269866943359375},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4104292392730713},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.34391045570373535},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07521593570709229},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0166-218x(87)80002-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(87)80002-1","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1524804355","https://openalex.org/W2003160050","https://openalex.org/W2006146932","https://openalex.org/W2028218873","https://openalex.org/W2085035171","https://openalex.org/W2086049536","https://openalex.org/W2113227678","https://openalex.org/W2150815458","https://openalex.org/W3023019763"],"related_works":["https://openalex.org/W4231500168","https://openalex.org/W90079504","https://openalex.org/W2032436423","https://openalex.org/W3141113327","https://openalex.org/W3035974271","https://openalex.org/W1561045713","https://openalex.org/W2374451529","https://openalex.org/W2080904092","https://openalex.org/W2069541586","https://openalex.org/W1553098308"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}