{"id":"https://openalex.org/W2007503572","doi":"https://doi.org/10.1002/net.3230100207","title":"An integer linear programming approach to the steiner problem in graphs","display_name":"An integer linear programming approach to the steiner problem in graphs","publication_year":1980,"publication_date":"1980-06-01","ids":{"openalex":"https://openalex.org/W2007503572","doi":"https://doi.org/10.1002/net.3230100207","mag":"2007503572"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230100207","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230100207","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","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/A5024142959","display_name":"Y.P. Aneja","orcid":"https://orcid.org/0000-0003-0852-2930"},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Y. P. Aneja","raw_affiliation_strings":["School of Administration, University of New Brunswick, Canada"],"affiliations":[{"raw_affiliation_string":"School of Administration, University of New Brunswick, Canada","institution_ids":["https://openalex.org/I106938459"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024142959"],"corresponding_institution_ids":["https://openalex.org/I106938459"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":140,"citation_normalized_percentile":{"value":0.14781872,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":"2","first_page":"167","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9968000054359436,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9958999752998352,"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/steiner-tree-problem","display_name":"Steiner tree problem","score":0.8189367055892944},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6721929907798767},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.6207163333892822},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5977580547332764},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4987781047821045},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4842543303966522},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.46626362204551697},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4539584219455719},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45372840762138367},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39185652136802673},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3809049129486084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3763119578361511}],"concepts":[{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.8189367055892944},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6721929907798767},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.6207163333892822},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5977580547332764},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4987781047821045},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4842543303966522},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.46626362204551697},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4539584219455719},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45372840762138367},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39185652136802673},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3809049129486084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3763119578361511},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230100207","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230100207","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1965680834","https://openalex.org/W1972106066","https://openalex.org/W1996668544","https://openalex.org/W2017927472","https://openalex.org/W2032917029","https://openalex.org/W2054695963","https://openalex.org/W2066982044","https://openalex.org/W2115049345","https://openalex.org/W2132087752"],"related_works":["https://openalex.org/W1925942709","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2983685817","https://openalex.org/W2082154838","https://openalex.org/W2109912052","https://openalex.org/W1711527768","https://openalex.org/W4285278887","https://openalex.org/W2995925505","https://openalex.org/W134783735"],"abstract_inverted_index":{"Abstract":[0],"Consider":[1],"a":[2,48,127],"connected":[3],"undirected":[4],"graph":[5],"G[N;":[6],"E":[7,42],"]":[8],"with":[9,34,91],"N":[10],"=":[11],"S":[12,56],"\u222a":[13],"P":[14,21],",":[15],"the":[16,25,40,54,65,80,92,95,100,108,115,135,141,149],"set":[17,26,41,55],"of":[18,27,39,46,57,84,94,140],"nodes,":[19],"where":[20],"is":[22,32,77,104,146,152],"designated":[23],"as":[24,64],"Steiner":[28,66],"points.":[29],"A":[30,70,97],"weight":[31],"associated":[33],"each":[35],"edge":[36],"e":[37],"i":[38],".":[43],"The":[44,82,111,138],"problem":[45,67],"obtaining":[47],"minimal":[49],"weighted":[50],"tree":[51],"which":[52,122],"spans":[53],"nodes":[58],"has":[59],"been":[60],"termed":[61],"in":[62,68,86,126],"literature":[63],"graphs.":[69],"specialized":[71],"integer":[72],"programming":[73],"(set":[74],"covering)":[75],"formulation":[76,88],"presented":[78],"for":[79],"problem.":[81,96,110],"number":[83],"constraints":[85,116],"this":[87],"grows":[89],"exponentially":[90],"size":[93],"method":[98,112],"called":[99],"row":[101],"generation":[102],"scheme":[103,142],"developed":[105],"to":[106],"solve":[107],"above":[109,136],"requires":[113],"knowing":[114],"only":[117],"implicitly.":[118],"Several":[119],"other":[120],"problems":[121],"can":[123,130],"be":[124,132],"put":[125],"similar":[128],"framework":[129],"also":[131],"handled":[133],"by":[134],"scheme.":[137],"generality":[139],"and":[143],"its":[144],"efficiency":[145],"discussed.":[147],"Finally":[148],"computational":[150],"result":[151],"demonstrated.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
