{"id":"https://openalex.org/W2218965545","doi":"https://doi.org/10.1109/iceee.2015.7357953","title":"A triplet integer programming model for the Euclidean 3-matching problem","display_name":"A triplet integer programming model for the Euclidean 3-matching problem","publication_year":2015,"publication_date":"2015-10-01","ids":{"openalex":"https://openalex.org/W2218965545","doi":"https://doi.org/10.1109/iceee.2015.7357953","mag":"2218965545"},"language":"en","primary_location":{"id":"doi:10.1109/iceee.2015.7357953","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2015.7357953","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 12th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","raw_type":"proceedings-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/A5018288531","display_name":"Gualberto Vazquez Casas","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"G. Vazquez Casas","raw_affiliation_strings":["Posgrado en Optimizaci\u00f3n UAM Azcapotzalco, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Posgrado en Optimizaci\u00f3n UAM Azcapotzalco, Mexico City, Mexico","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054076718","display_name":"Rodrigo Alexander Castro Campos","orcid":"https://orcid.org/0000-0003-2275-5511"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. A. Castro Campos","raw_affiliation_strings":["Posgrado en Optimizaci\u00f3n UAM Azcapotzalco, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Posgrado en Optimizaci\u00f3n UAM Azcapotzalco, Mexico City, Mexico","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113105642","display_name":"Marco A. Heredia","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. A. Heredia","raw_affiliation_strings":["Departamento de Sistemas UAM Azcapotzalco, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Sistemas UAM Azcapotzalco, Mexico City, Mexico","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064414025","display_name":"Francisco Javier Zaragoza Mart\u00ednez","orcid":"https://orcid.org/0000-0001-7570-1483"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"F. J. Zaragoza Martinez","raw_affiliation_strings":["Departamento de Sistemas UAM Azcapotzalco, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Sistemas UAM Azcapotzalco, Mexico City, Mexico","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5018288531"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8325,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.79233704,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"63","issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9955000281333923,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9955000281333923,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9930999875068665,"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/T12288","display_name":"Optimization and Search Problems","score":0.9904000163078308,"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/euclidean-geometry","display_name":"Euclidean geometry","score":0.7786229848861694},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.7633893489837646},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6873486638069153},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5875158309936523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5415222644805908},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5380145907402039},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.5202276110649109},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49890661239624023},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4920901656150818},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44730493426322937},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39169880747795105},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38656216859817505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26536688208580017}],"concepts":[{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.7786229848861694},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.7633893489837646},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6873486638069153},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5875158309936523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5415222644805908},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5380145907402039},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.5202276110649109},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49890661239624023},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4920901656150818},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44730493426322937},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39169880747795105},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38656216859817505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26536688208580017},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iceee.2015.7357953","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2015.7357953","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 12th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W189906920","https://openalex.org/W191146060","https://openalex.org/W1988703913","https://openalex.org/W1999341643","https://openalex.org/W2059608229","https://openalex.org/W2065841482","https://openalex.org/W2076010847","https://openalex.org/W2096497693","https://openalex.org/W2112844689","https://openalex.org/W4233756358","https://openalex.org/W6607705388","https://openalex.org/W6607878847"],"related_works":["https://openalex.org/W2090152127","https://openalex.org/W1965169884","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W3125580510","https://openalex.org/W2995925505","https://openalex.org/W2008939113","https://openalex.org/W2773399470","https://openalex.org/W3116484972","https://openalex.org/W2033213447"],"abstract_inverted_index":{"Let":[0],"P":[1,18],"be":[2,75],"a":[3,15,67,108],"set":[4],"of":[5,17,22,30,51,57,60,65,99,121],"3k":[6],"points":[7,24],"in":[8],"the":[9,49,52,55,58,95,117],"Euclidean":[10,70],"plane.":[11],"A":[12],"3-matching":[13,53,71],"is":[14,36,54,72],"partition":[16],"into":[19],"k":[20],"subsets":[21],"3":[23],"each,":[25],"called":[26],"triplets.":[27,62],"The":[28,63],"cost":[29,50,69],"each":[31],"triplet":[32,110],"{a,":[33],"b,":[34],"c}":[35],"given":[37],"by":[38,86],"min{|ab|":[39],"+":[40,43,46],"|bc|,":[41],"|bc|":[42],"|ca|,":[44],"|ca|":[45],"|ab|},":[47],"and":[48,89],"sum":[56],"costs":[59],"its":[61],"problem":[64,83],"finding":[66],"minimum":[68],"known":[73],"to":[74],"NP-hard.":[76],"Two":[77],"integer":[78,111],"programming":[79,97,112,119],"formulations":[80],"for":[81],"this":[82],"were":[84],"introduced":[85],"Johnsson,":[87],"Magyar,":[88],"Nevalainen.":[90],"First,":[91],"we":[92,106,115],"prove":[93],"that":[94],"linear":[96,118],"relaxations":[98,120],"these":[100,122],"two":[101],"models":[102],"are":[103],"equivalent.":[104],"Second,":[105],"introduce":[107],"new":[109],"model.":[113],"Third,":[114],"compare":[116],"three":[123],"models.":[124]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
