{"id":"https://openalex.org/W2142464562","doi":"https://doi.org/10.1007/s10107-006-0018-z","title":"Generating facets for the cut polytope of a graph by triangular elimination","display_name":"Generating facets for the cut polytope of a graph by triangular elimination","publication_year":2006,"publication_date":"2006-08-02","ids":{"openalex":"https://openalex.org/W2142464562","doi":"https://doi.org/10.1007/s10107-006-0018-z","mag":"2142464562"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-006-0018-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0018-z","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5020530779","display_name":"David Avis","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"David Avis","raw_affiliation_strings":["School of Computer Science, McGill University, 3480 University Street, Montreal, QC, Canada, H3A 2A7"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, 3480 University Street, Montreal, QC, Canada, H3A 2A7","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071671067","display_name":"Hiroshi Imai","orcid":"https://orcid.org/0000-0002-0880-0091"},"institutions":[{"id":"https://openalex.org/I4210086780","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19","country_code":"JP","type":"government","lineage":["https://openalex.org/I4210086780"]},{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Imai","raw_affiliation_strings":["Department of Computer Science, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan","ERATO-SORST Quantum Computation and Information Project, Japan Science and Technology Agency, 5-28-3 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"ERATO-SORST Quantum Computation and Information Project, Japan Science and Technology Agency, 5-28-3 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan","institution_ids":["https://openalex.org/I4210086780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101821639","display_name":"Tsuyoshi Ito","orcid":"https://orcid.org/0000-0002-2528-413X"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tsuyoshi Ito","raw_affiliation_strings":["Department of Computer Science, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020530779"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5149,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.68876209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"112","issue":"2","first_page":"303","last_page":"325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.7896147966384888},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.7761422991752625},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7293955087661743},{"id":"https://openalex.org/keywords/birkhoff-polytope","display_name":"Birkhoff polytope","score":0.6904253363609314},{"id":"https://openalex.org/keywords/facet","display_name":"Facet (psychology)","score":0.639115571975708},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6136424541473389},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5604225397109985},{"id":"https://openalex.org/keywords/polyhedral-combinatorics","display_name":"Polyhedral combinatorics","score":0.4591687321662903},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44792672991752625},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4328973889350891},{"id":"https://openalex.org/keywords/maximum-cut","display_name":"Maximum cut","score":0.4298427700996399},{"id":"https://openalex.org/keywords/uniform-k-21-polytope","display_name":"Uniform k 21 polytope","score":0.42796045541763306},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13524767756462097},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.125503271818161},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.10983425378799438},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.10807666182518005}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7896147966384888},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.7761422991752625},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7293955087661743},{"id":"https://openalex.org/C206304794","wikidata":"https://www.wikidata.org/wiki/Q4916482","display_name":"Birkhoff polytope","level":5,"score":0.6904253363609314},{"id":"https://openalex.org/C43122875","wikidata":"https://www.wikidata.org/wiki/Q5428522","display_name":"Facet (psychology)","level":4,"score":0.639115571975708},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6136424541473389},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5604225397109985},{"id":"https://openalex.org/C174248988","wikidata":"https://www.wikidata.org/wiki/Q8348314","display_name":"Polyhedral combinatorics","level":5,"score":0.4591687321662903},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44792672991752625},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4328973889350891},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.4298427700996399},{"id":"https://openalex.org/C16507315","wikidata":"https://www.wikidata.org/wiki/Q7885104","display_name":"Uniform k 21 polytope","level":5,"score":0.42796045541763306},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13524767756462097},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.125503271818161},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.10983425378799438},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.10807666182518005},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C187288502","wikidata":"https://www.wikidata.org/wiki/Q641118","display_name":"Personality","level":2,"score":0.0},{"id":"https://openalex.org/C2865642","wikidata":"https://www.wikidata.org/wiki/Q378132","display_name":"Big Five personality traits","level":3,"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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-006-0018-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0018-z","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4300000071525574}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1487583654","https://openalex.org/W1520504540","https://openalex.org/W1563590311","https://openalex.org/W1578044518","https://openalex.org/W1585695770","https://openalex.org/W1597196612","https://openalex.org/W1652234327","https://openalex.org/W1968143987","https://openalex.org/W1981533541","https://openalex.org/W1986175898","https://openalex.org/W2002182420","https://openalex.org/W2005287051","https://openalex.org/W2012605254","https://openalex.org/W2021320246","https://openalex.org/W2025108395","https://openalex.org/W2027911682","https://openalex.org/W2040506679","https://openalex.org/W2043508110","https://openalex.org/W2050253207","https://openalex.org/W2059742977","https://openalex.org/W2064263748","https://openalex.org/W2084600946","https://openalex.org/W2111977144","https://openalex.org/W2116397277","https://openalex.org/W2118825986","https://openalex.org/W2135830616","https://openalex.org/W2154245620","https://openalex.org/W2158907148","https://openalex.org/W2172262955","https://openalex.org/W2176586391","https://openalex.org/W2486886792","https://openalex.org/W2505968561","https://openalex.org/W2950660935","https://openalex.org/W2951124766","https://openalex.org/W3100981770","https://openalex.org/W3102370545","https://openalex.org/W4206054519","https://openalex.org/W4253125207"],"related_works":["https://openalex.org/W2949863507","https://openalex.org/W2778515850","https://openalex.org/W2773485609","https://openalex.org/W2023190453","https://openalex.org/W2016944804","https://openalex.org/W4288417334","https://openalex.org/W2133290691","https://openalex.org/W2089946268","https://openalex.org/W1973648690","https://openalex.org/W3172969108"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}