{"id":"https://openalex.org/W2152430111","doi":"https://doi.org/10.15388/20-infor391","title":"A Complementary Column Generation Approach for the Graph Equipartition Problem","display_name":"A Complementary Column Generation Approach for the Graph Equipartition Problem","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2152430111","doi":"https://doi.org/10.15388/20-infor391","mag":"2152430111"},"language":"en","primary_location":{"id":"doi:10.15388/20-infor391","is_oa":true,"landing_page_url":"https://doi.org/10.15388/20-infor391","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1159/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1159/file/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084477878","display_name":"Salem M. Al-Ykoob","orcid":null},"institutions":[{"id":"https://openalex.org/I36721946","display_name":"Kuwait University","ror":"https://ror.org/021e5j056","country_code":"KW","type":"education","lineage":["https://openalex.org/I36721946"]}],"countries":["KW"],"is_corresponding":false,"raw_author_name":"Salem M. Al-Ykoob","raw_affiliation_strings":["Department of Mathematics, College of Science, Kuwait University, P.O. Box 5969, Safat 13060, State of Kuwait"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, Kuwait University, P.O. Box 5969, Safat 13060, State of Kuwait","institution_ids":["https://openalex.org/I36721946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043357545","display_name":"Hanif D. Sherali","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hanif D. Sherali","raw_affiliation_strings":["Grado Department of Industrial and Systems Engineering (0118), Virginia Tech, Blacksburg, VA 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grado Department of Industrial and Systems Engineering (0118), Virginia Tech, Blacksburg, VA 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4053,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.84237321,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9987000226974487,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9987000226974487,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9976000189781189,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/column-generation","display_name":"Column generation","score":0.8756698369979858},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.7284725904464722},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5732522010803223},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5091299414634705},{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.46115756034851074},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.46071773767471313},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4553930163383484},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.44221022725105286},{"id":"https://openalex.org/keywords/equipartition-theorem","display_name":"Equipartition theorem","score":0.43856069445610046},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43475234508514404},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3522239923477173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3241100311279297},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.26310616731643677},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.089944988489151}],"concepts":[{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.8756698369979858},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7284725904464722},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5732522010803223},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5091299414634705},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.46115756034851074},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.46071773767471313},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4553930163383484},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.44221022725105286},{"id":"https://openalex.org/C99742106","wikidata":"https://www.wikidata.org/wiki/Q255996","display_name":"Equipartition theorem","level":3,"score":0.43856069445610046},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43475234508514404},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3522239923477173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3241100311279297},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.26310616731643677},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.089944988489151},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.15388/20-infor391","is_oa":true,"landing_page_url":"https://doi.org/10.15388/20-infor391","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1159/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},{"id":"pmh:oai:vtechworks.lib.vt.edu:10919/101856","is_oa":true,"landing_page_url":"http://hdl.handle.net/10919/101856","pdf_url":null,"source":{"id":"https://openalex.org/S4306400248","display_name":"VTechWorks (Virginia Tech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I859038795","host_organization_name":"Virginia Tech","host_organization_lineage":["https://openalex.org/I859038795"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article - Refereed"}],"best_oa_location":{"id":"doi:10.15388/20-infor391","is_oa":true,"landing_page_url":"https://doi.org/10.15388/20-infor391","pdf_url":"https://informatica.vu.lt/journal/INFORMATICA/article/1159/file/pdf","source":{"id":"https://openalex.org/S57195646","display_name":"Informatica","issn_l":"0868-4952","issn":["0868-4952","1822-8844"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Informatica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322668","display_name":"Kuwait University","ror":"https://ror.org/021e5j056"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2152430111.pdf","grobid_xml":"https://content.openalex.org/works/W2152430111.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W124124283","https://openalex.org/W143174683","https://openalex.org/W1487962609","https://openalex.org/W1573977097","https://openalex.org/W1915893077","https://openalex.org/W1965806036","https://openalex.org/W1974418688","https://openalex.org/W1979957676","https://openalex.org/W1986553570","https://openalex.org/W1986613675","https://openalex.org/W1987499885","https://openalex.org/W1992551373","https://openalex.org/W1993143336","https://openalex.org/W2002805364","https://openalex.org/W2008108079","https://openalex.org/W2010997912","https://openalex.org/W2013153664","https://openalex.org/W2013276661","https://openalex.org/W2027296156","https://openalex.org/W2030087828","https://openalex.org/W2033852356","https://openalex.org/W2037908498","https://openalex.org/W2043471141","https://openalex.org/W2043896070","https://openalex.org/W2047893320","https://openalex.org/W2051221753","https://openalex.org/W2052819443","https://openalex.org/W2055747219","https://openalex.org/W2060877504","https://openalex.org/W2069107464","https://openalex.org/W2070704620","https://openalex.org/W2072884723","https://openalex.org/W2078174680","https://openalex.org/W2084236013","https://openalex.org/W2086079401","https://openalex.org/W2086565575","https://openalex.org/W2097244736","https://openalex.org/W2099873680","https://openalex.org/W2116089112","https://openalex.org/W2122433669","https://openalex.org/W2129751437","https://openalex.org/W2131053137","https://openalex.org/W2141505357","https://openalex.org/W2149032345","https://openalex.org/W2152844070","https://openalex.org/W2158108598","https://openalex.org/W2161328451","https://openalex.org/W2164507994","https://openalex.org/W2167580124","https://openalex.org/W2170180990","https://openalex.org/W2184317164","https://openalex.org/W2332751120","https://openalex.org/W3102160464"],"related_works":["https://openalex.org/W2090923322","https://openalex.org/W2070195754","https://openalex.org/W2142627477","https://openalex.org/W2072691113","https://openalex.org/W1647946917","https://openalex.org/W2777849946","https://openalex.org/W2464562236","https://openalex.org/W2171782089","https://openalex.org/W1488119866","https://openalex.org/W2014149998"],"abstract_inverted_index":{"This":[0,35],"paper":[1],"investigates":[2],"the":[3,16,22,26,32,71,85],"problem":[4,37],"of":[5,19,24,28,31,104],"partitioning":[6,48],"a":[7,58,64,101],"complete":[8,12],"weighted":[9],"graph":[10],"into":[11],"subgraphs,":[13],"each":[14],"having":[15],"same":[17],"number":[18],"vertices,":[20],"with":[21],"objective":[23],"minimizing":[25],"sum":[27],"edge":[29],"weights":[30],"resulting":[33,72],"subgraphs.":[34],"NP-complete":[36],"arises":[38],"in":[39],"many":[40],"applications":[41],"such":[42],"as":[43],"assignment":[44],"and":[45,50,62],"scheduling-related":[46],"group":[47],"problems":[49],"micro-aggregation":[51],"techniques.":[52],"In":[53],"this":[54],"paper,":[55],"we":[56],"present":[57],"mathematical":[59],"programming":[60],"model":[61],"propose":[63],"complementary":[65],"column":[66,93],"generation":[67,94],"approach":[68],"to":[69,83],"solve":[70],"model.":[73],"A":[74],"dual":[75],"based":[76],"lower":[77],"bounding":[78],"feature":[79],"is":[80],"also":[81],"introduced":[82],"curtail":[84],"notorious":[86],"tailing-off":[87],"effects":[88],"often":[89],"induced":[90],"when":[91],"using":[92],"methods.":[95],"Computational":[96],"results":[97],"are":[98],"presented":[99],"for":[100],"wide":[102],"range":[103],"test":[105],"problems.":[106]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
