{"id":"https://openalex.org/W2617844366","doi":"https://doi.org/10.1007/s10589-017-9967-9","title":"A two-level graph partitioning problem arising in mobile wireless communications","display_name":"A two-level graph partitioning problem arising in mobile wireless communications","publication_year":2017,"publication_date":"2017-11-18","ids":{"openalex":"https://openalex.org/W2617844366","doi":"https://doi.org/10.1007/s10589-017-9967-9","mag":"2617844366"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-017-9967-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-017-9967-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-017-9967-9.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10589-017-9967-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084672993","display_name":"Jamie Fairbrother","orcid":"https://orcid.org/0000-0001-5134-4397"},"institutions":[{"id":"https://openalex.org/I67415387","display_name":"Lancaster University","ror":"https://ror.org/04f2nsd36","country_code":"GB","type":"education","lineage":["https://openalex.org/I67415387"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Jamie Fairbrother","raw_affiliation_strings":["STOR-i Centre for Doctoral Training, Lancaster University, Lancaster, UK"],"raw_orcid":"https://orcid.org/0000-0001-5134-4397","affiliations":[{"raw_affiliation_string":"STOR-i Centre for Doctoral Training, Lancaster University, Lancaster, UK","institution_ids":["https://openalex.org/I67415387"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004954937","display_name":"Adam N. Letchford","orcid":"https://orcid.org/0000-0002-3191-5006"},"institutions":[{"id":"https://openalex.org/I67415387","display_name":"Lancaster University","ror":"https://ror.org/04f2nsd36","country_code":"GB","type":"education","lineage":["https://openalex.org/I67415387"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Adam N. Letchford","raw_affiliation_strings":["Department of Management Science, Lancaster University, Lancaster, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management Science, Lancaster University, Lancaster, UK","institution_ids":["https://openalex.org/I67415387"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065811554","display_name":"Keith Briggs","orcid":"https://orcid.org/0000-0002-0042-4415"},"institutions":[{"id":"https://openalex.org/I14689143","display_name":"BT Research","ror":"https://ror.org/03308db07","country_code":"GB","type":"facility","lineage":["https://openalex.org/I1332878012","https://openalex.org/I14689143"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Keith Briggs","raw_affiliation_strings":["Wireless Research Group, BT Technology, Service & Operations, Martlesham Heath, Suffolk, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wireless Research Group, BT Technology, Service & Operations, Martlesham Heath, Suffolk, UK","institution_ids":["https://openalex.org/I14689143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004954937","https://openalex.org/A5065811554","https://openalex.org/A5084672993"],"corresponding_institution_ids":["https://openalex.org/I14689143","https://openalex.org/I67415387"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":{"value":3190,"currency":"USD","value_usd":3190},"fwci":0.6487,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.71324236,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"69","issue":"3","first_page":"653","last_page":"676"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9983000159263611,"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/T11797","display_name":"graph theory and CDMA systems","score":0.996399998664856,"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/mathematics","display_name":"Mathematics","score":0.7207280993461609},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.5584226846694946},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.526132345199585},{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.4619382619857788},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3368510901927948},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28309109807014465},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23350253701210022},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.16094213724136353}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7207280993461609},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.5584226846694946},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.526132345199585},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.4619382619857788},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3368510901927948},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28309109807014465},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23350253701210022},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.16094213724136353}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-017-9967-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-017-9967-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-017-9967-9.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:69:y:2018:i:3:d:10.1007_s10589-017-9967-9","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-017-9967-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10589-017-9967-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10589-017-9967-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10589-017-9967-9.pdf","source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2426348644","display_name":null,"funder_award_id":"EP/H023151/1 STOR-i","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2942258204","display_name":null,"funder_award_id":"EP/H023151","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6799612760","display_name":"CENTRE FOR DOCTORAL TRAINING IN STATISTICS AND OPERATIONAL RESEARCH, LANCASTER UNIVERSITY (LUSTOR)","funder_award_id":"EP/H023151/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2617844366.pdf","grobid_xml":"https://content.openalex.org/works/W2617844366.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W151388585","https://openalex.org/W229097380","https://openalex.org/W625072069","https://openalex.org/W1548885290","https://openalex.org/W1567562836","https://openalex.org/W1578768378","https://openalex.org/W1601503375","https://openalex.org/W1602308653","https://openalex.org/W1993052292","https://openalex.org/W1994932713","https://openalex.org/W2002055996","https://openalex.org/W2010725967","https://openalex.org/W2013568176","https://openalex.org/W2018490604","https://openalex.org/W2043896070","https://openalex.org/W2047893320","https://openalex.org/W2055747219","https://openalex.org/W2063117516","https://openalex.org/W2071449335","https://openalex.org/W2090845660","https://openalex.org/W2094122556","https://openalex.org/W2100440346","https://openalex.org/W2107977163","https://openalex.org/W2116007667","https://openalex.org/W2130822890","https://openalex.org/W2141082967","https://openalex.org/W2148606255","https://openalex.org/W2150305542","https://openalex.org/W2164209543","https://openalex.org/W2167345674","https://openalex.org/W2227764400","https://openalex.org/W2284124482","https://openalex.org/W2284179770","https://openalex.org/W2346810955","https://openalex.org/W2412657279","https://openalex.org/W2542513214","https://openalex.org/W2751855500","https://openalex.org/W2962955788","https://openalex.org/W2963737091","https://openalex.org/W3037973199","https://openalex.org/W6619720112"],"related_works":["https://openalex.org/W2559087450","https://openalex.org/W2963285715","https://openalex.org/W2070651159","https://openalex.org/W2110866863","https://openalex.org/W2023331372","https://openalex.org/W2111089243","https://openalex.org/W2754997651","https://openalex.org/W2374829073","https://openalex.org/W2320073379","https://openalex.org/W2672310255"],"abstract_inverted_index":{"In":[0],"the":[1,17,31,35,42,55],"k":[2,23],"-partition":[3],"problem":[4,50],"(k-PP),":[5],"one":[6,14],"is":[7,85],"given":[8],"an":[9,74],"edge-weighted":[10],"undirected":[11],"graph,":[12],"and":[13,83,90,96],"must":[15],"partition":[16],"node":[18],"set":[19],"into":[20],"at":[21],"most":[22],"subsets,":[24],"in":[25,41,54,67],"order":[26],"to":[27,93],"minimise":[28],"(or":[29],"maximise)":[30],"total":[32],"weight":[33],"of":[34,48,57,87],"edges":[36],"that":[37,65,73],"have":[38,51],"their":[39],"end-nodes":[40],"same":[43],"subset.":[44],"Various":[45],"hierarchical":[46],"variants":[47],"this":[49],"been":[52],"studied":[53],"context":[56],"data":[58],"mining.":[59],"We":[60,71],"consider":[61],"a":[62],"\u2018two-level\u2019":[63],"variant":[64],"arises":[66],"mobile":[68],"wireless":[69],"communications.":[70],"show":[72],"exact":[75],"algorithm":[76],"based":[77],"on":[78],"intelligent":[79],"preprocessing,":[80],"cutting":[81],"planes":[82],"symmetry-breaking":[84],"capable":[86],"solving":[88],"small-":[89],"medium-size":[91],"instances":[92],"proven":[94],"optimality,":[95],"providing":[97],"strong":[98],"lower":[99],"bounds":[100],"for":[101],"larger":[102],"instances.":[103]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}