{"id":"https://openalex.org/W2026698663","doi":"https://doi.org/10.1134/s0005117914090082","title":"On a recognition problem on cut polytope relaxations","display_name":"On a recognition problem on cut polytope relaxations","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W2026698663","doi":"https://doi.org/10.1134/s0005117914090082","mag":"2026698663"},"language":"en","primary_location":{"id":"doi:10.1134/s0005117914090082","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117914090082","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","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/A5008534350","display_name":"\u0412. \u0410. \u0411\u043e\u043d\u0434\u0430\u0440\u0435\u043d\u043a\u043e","orcid":"https://orcid.org/0000-0002-5976-3446"},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"V. A. Bondarenko","raw_affiliation_strings":["Demidov Yaroslavl State University, Yaroslavl, Russia","Demidov Yaroslavl State University, Yaroslavl,#N#  Russia"],"affiliations":[{"raw_affiliation_string":"Demidov Yaroslavl State University, Yaroslavl, Russia","institution_ids":["https://openalex.org/I198371094"]},{"raw_affiliation_string":"Demidov Yaroslavl State University, Yaroslavl,#N#  Russia","institution_ids":["https://openalex.org/I198371094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053965200","display_name":"Andrei V. Nikolaev","orcid":"https://orcid.org/0000-0003-4705-2409"},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. V. Nikolaev","raw_affiliation_strings":["Demidov Yaroslavl State University, Yaroslavl, Russia","Demidov Yaroslavl State University, Yaroslavl,#N#  Russia"],"affiliations":[{"raw_affiliation_string":"Demidov Yaroslavl State University, Yaroslavl, Russia","institution_ids":["https://openalex.org/I198371094"]},{"raw_affiliation_string":"Demidov Yaroslavl State University, Yaroslavl,#N#  Russia","institution_ids":["https://openalex.org/I198371094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040697410","display_name":"M. E. Symanovich","orcid":null},"institutions":[{"id":"https://openalex.org/I198371094","display_name":"Yaroslavl State University","ror":"https://ror.org/044s2fj67","country_code":"RU","type":"education","lineage":["https://openalex.org/I198371094"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M. E. Symanovich","raw_affiliation_strings":["Demidov Yaroslavl State University, Yaroslavl, Russia","Demidov Yaroslavl State University, Yaroslavl,#N#  Russia"],"affiliations":[{"raw_affiliation_string":"Demidov Yaroslavl State University, Yaroslavl, Russia","institution_ids":["https://openalex.org/I198371094"]},{"raw_affiliation_string":"Demidov Yaroslavl State University, Yaroslavl,#N#  Russia","institution_ids":["https://openalex.org/I198371094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027256039","display_name":"R. O. Shemyakin","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"R. O. Shemyakin","raw_affiliation_strings":["Lomonosov Moscow State University, Moscow, Russia","Lomonosov Moscow State University,,,Moscow,,Russia"],"affiliations":[{"raw_affiliation_string":"Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Lomonosov Moscow State University,,,Moscow,,Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5008534350"],"corresponding_institution_ids":["https://openalex.org/I198371094"],"apc_list":null,"apc_paid":null,"fwci":1.2315,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.82667669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"75","issue":"9","first_page":"1626","last_page":"1636"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9549999833106995,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9359999895095825,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/polytope","display_name":"Polytope","score":0.9136817455291748},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6356079578399658},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6047502160072327},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6027374863624573},{"id":"https://openalex.org/keywords/maximum-cut","display_name":"Maximum cut","score":0.5736851692199707},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.5642855763435364},{"id":"https://openalex.org/keywords/birkhoff-polytope","display_name":"Birkhoff polytope","score":0.5457290410995483},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.5360866189002991},{"id":"https://openalex.org/keywords/polytope-model","display_name":"Polytope model","score":0.5136381983757019},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5013740062713623},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.49213117361068726},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.417540043592453},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34879934787750244},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33133628964424133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2796807289123535},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23009496927261353},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.055488020181655884}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.9136817455291748},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6356079578399658},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6047502160072327},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6027374863624573},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.5736851692199707},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.5642855763435364},{"id":"https://openalex.org/C206304794","wikidata":"https://www.wikidata.org/wiki/Q4916482","display_name":"Birkhoff polytope","level":5,"score":0.5457290410995483},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.5360866189002991},{"id":"https://openalex.org/C113391598","wikidata":"https://www.wikidata.org/wiki/Q1681391","display_name":"Polytope model","level":3,"score":0.5136381983757019},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5013740062713623},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.49213117361068726},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.417540043592453},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34879934787750244},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33133628964424133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2796807289123535},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23009496927261353},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.055488020181655884},{"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/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0005117914090082","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0005117914090082","pdf_url":null,"source":{"id":"https://openalex.org/S134188425","display_name":"Automation and Remote Control","issn_l":"0005-1179","issn":["0005-1179","1608-3032"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automation and Remote Control","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/W91024833","https://openalex.org/W2011039300","https://openalex.org/W2026422223","https://openalex.org/W2058379366","https://openalex.org/W2078992232","https://openalex.org/W2123640521","https://openalex.org/W2158907148","https://openalex.org/W2233474732","https://openalex.org/W6835337934"],"related_works":["https://openalex.org/W2009796757","https://openalex.org/W4252122881","https://openalex.org/W1531708257","https://openalex.org/W2171830873","https://openalex.org/W1973648690","https://openalex.org/W2154089325","https://openalex.org/W2807981612","https://openalex.org/W1664252374","https://openalex.org/W2086003967","https://openalex.org/W2026698663"],"abstract_inverted_index":{"We":[0,10,24],"study":[1],"the":[2,22],"integer":[3],"recognition":[4],"problem":[5],"on":[6],"cut":[7],"polytope":[8],"relaxations.":[9],"establish":[11],"characteristic":[12],"properties":[13],"of":[14,21,27],"relaxation":[15],"points":[16,29],"that":[17],"preclude":[18],"efficient":[19],"solution":[20],"problem.":[23],"give":[25],"examples":[26],"such":[28]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}