{"id":"https://openalex.org/W1976967559","doi":"https://doi.org/10.1016/0166-218x(95)98954-y","title":"Complete linear descriptions of small asymmetric traveling salesman polytopes","display_name":"Complete linear descriptions of small asymmetric traveling salesman polytopes","publication_year":1995,"publication_date":"1995-09-01","ids":{"openalex":"https://openalex.org/W1976967559","doi":"https://doi.org/10.1016/0166-218x(95)98954-y","mag":"1976967559"},"language":"en","primary_location":{"id":"doi:10.1016/0166-218x(95)98954-y","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(95)98954-y","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/A5070912266","display_name":"Reinhardt Euler","orcid":"https://orcid.org/0000-0002-4294-286X"},"institutions":[{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"R. Euler","raw_affiliation_strings":["Laboratoire d'Informatique de Brest (LIBr), Universit\u00e9 de Bretagne Occidentale, BP 452, 6 Avenue Le Gorgeu, 29287 Brest Cedex, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique de Brest (LIBr), Universit\u00e9 de Bretagne Occidentale, BP 452, 6 Avenue Le Gorgeu, 29287 Brest Cedex, France","institution_ids":["https://openalex.org/I161929037"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053138195","display_name":"Herv\u00e9 Le Verge","orcid":null},"institutions":[{"id":"https://openalex.org/I2802519937","display_name":"Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires","ror":"https://ror.org/00myn0z94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I2802519937","https://openalex.org/I28221208","https://openalex.org/I4210127572","https://openalex.org/I4210159245","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"H. Le Verge","raw_affiliation_strings":["IRISA, Universit\u00e9 de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France","Irisa/Universit\u00e9 de Rennes 1, Campus de Beaulieu, 35042 Rennes cedex, France"],"affiliations":[{"raw_affiliation_string":"IRISA, Universit\u00e9 de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I2802519937"]},{"raw_affiliation_string":"Irisa/Universit\u00e9 de Rennes 1, Campus de Beaulieu, 35042 Rennes cedex, France","institution_ids":["https://openalex.org/I56067802"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070912266"],"corresponding_institution_ids":["https://openalex.org/I161929037"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":2.3476,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.85844339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"62","issue":"1-3","first_page":"193","last_page":"208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9952999949455261,"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":0.9952999949455261,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9945999979972839,"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/T12782","display_name":"Assembly Line Balancing Optimization","score":0.968500018119812,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.9536120295524597},{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.8796218633651733},{"id":"https://openalex.org/keywords/facet","display_name":"Facet (psychology)","score":0.8773980140686035},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.806096076965332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7701399326324463},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.685384213924408},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.327094167470932},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.26729291677474976},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07423380017280579}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.9536120295524597},{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.8796218633651733},{"id":"https://openalex.org/C43122875","wikidata":"https://www.wikidata.org/wiki/Q5428522","display_name":"Facet (psychology)","level":4,"score":0.8773980140686035},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.806096076965332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7701399326324463},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.685384213924408},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.327094167470932},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.26729291677474976},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07423380017280579},{"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/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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0166-218x(95)98954-y","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(95)98954-y","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":[{"display_name":"Reduced inequalities","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W249091067","https://openalex.org/W307896644","https://openalex.org/W1963547452","https://openalex.org/W1968919074","https://openalex.org/W1969996091","https://openalex.org/W1978038344","https://openalex.org/W1978172796","https://openalex.org/W2020898729","https://openalex.org/W2023721044","https://openalex.org/W2067684024","https://openalex.org/W2073906627","https://openalex.org/W2075716284","https://openalex.org/W2081041113","https://openalex.org/W2272316422","https://openalex.org/W2284179770","https://openalex.org/W2400401042","https://openalex.org/W2492353954","https://openalex.org/W2745033644","https://openalex.org/W2802068870","https://openalex.org/W3022177319","https://openalex.org/W3124681150","https://openalex.org/W4233558979","https://openalex.org/W6656367173","https://openalex.org/W6668812947","https://openalex.org/W6669758563","https://openalex.org/W6695607103","https://openalex.org/W6723406818","https://openalex.org/W6742903020"],"related_works":["https://openalex.org/W4280529077","https://openalex.org/W1525389557","https://openalex.org/W2507185596","https://openalex.org/W2361554335","https://openalex.org/W1493684871","https://openalex.org/W4286224459","https://openalex.org/W1976967559","https://openalex.org/W4297449612","https://openalex.org/W3105548266","https://openalex.org/W2152772468"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
