{"id":"https://openalex.org/W4400482524","doi":"https://doi.org/10.1587/transinf.2024fcl0001","title":"The Least Core of Routing Game without Triangle Inequality","display_name":"The Least Core of Routing Game without Triangle Inequality","publication_year":2024,"publication_date":"2024-07-10","ids":{"openalex":"https://openalex.org/W4400482524","doi":"https://doi.org/10.1587/transinf.2024fcl0001"},"language":"en","primary_location":{"id":"doi:10.1587/transinf.2024fcl0001","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2024fcl0001","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/advpub/0/advpub_2024FCL0001/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.jstage.jst.go.jp/article/transinf/advpub/0/advpub_2024FCL0001/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101530673","display_name":"Tomohiro Kobayashi","orcid":"https://orcid.org/0000-0003-4956-1274"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]},{"id":"https://openalex.org/I74640424","display_name":"Advanced Institute of Industrial Technology","ror":"https://ror.org/04f9apy08","country_code":"JP","type":"education","lineage":["https://openalex.org/I74640424"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tomohiro KOBAYASHI","raw_affiliation_strings":["Department of Industrial Engineering and Economics, School of Engineering, Tokyo Institute of Technology","Department of Industrial Engineering and Economics School of Engineering, Tokyo Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Economics, School of Engineering, Tokyo Institute of Technology","institution_ids":["https://openalex.org/I74640424"]},{"raw_affiliation_string":"Department of Industrial Engineering and Economics School of Engineering, Tokyo Institute of Technology","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031287136","display_name":"Tomomi Matsui","orcid":"https://orcid.org/0000-0003-0106-0980"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]},{"id":"https://openalex.org/I74640424","display_name":"Advanced Institute of Industrial Technology","ror":"https://ror.org/04f9apy08","country_code":"JP","type":"education","lineage":["https://openalex.org/I74640424"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tomomi MATSUI","raw_affiliation_strings":["Department of Industrial Engineering and Economics, School of Engineering, Tokyo Institute of Technology","Department of Industrial Engineering and Economics School of Engineering, Tokyo Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Economics, School of Engineering, Tokyo Institute of Technology","institution_ids":["https://openalex.org/I74640424"]},{"raw_affiliation_string":"Department of Industrial Engineering and Economics School of Engineering, Tokyo Institute of Technology","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09727403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"E108.D","issue":"3","first_page":"260","last_page":"262"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.8672000169754028,"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"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.8672000169754028,"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"}},{"id":"https://openalex.org/T12203","display_name":"Mobile Agent-Based Network Management","score":0.817799985408783,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.8043000102043152,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7110937833786011},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.6597729921340942},{"id":"https://openalex.org/keywords/triangle-inequality","display_name":"Triangle inequality","score":0.6092835068702698},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.4800361394882202},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.45111680030822754},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3693859577178955},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3664918839931488},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.245753675699234},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.17666566371917725},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16077017784118652},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11814683675765991},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05081665515899658}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7110937833786011},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.6597729921340942},{"id":"https://openalex.org/C182964748","wikidata":"https://www.wikidata.org/wiki/Q208216","display_name":"Triangle inequality","level":2,"score":0.6092835068702698},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.4800361394882202},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.45111680030822754},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3693859577178955},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3664918839931488},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.245753675699234},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.17666566371917725},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16077017784118652},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11814683675765991},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05081665515899658}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transinf.2024fcl0001","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2024fcl0001","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/advpub/0/advpub_2024FCL0001/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1587/transinf.2024fcl0001","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2024fcl0001","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/advpub/0/advpub_2024FCL0001/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4321918231","display_name":"\u907f\u96e3\u6240\u3068\u907f\u96e3\u7d4c\u8def\u63d0\u6848\u306e\u305f\u3081\u306e\u652f\u63f4\u30b7\u30b9\u30c6\u30e0\u306e\u958b\u767a","funder_award_id":"20K04973","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320335268","display_name":"Research Institute for Mathematical Sciences","ror":"https://ror.org/02kpeqv85"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400482524.pdf","grobid_xml":"https://content.openalex.org/works/W4400482524.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W626292722","https://openalex.org/W1985531479","https://openalex.org/W1993230675","https://openalex.org/W2020205678","https://openalex.org/W2046436585","https://openalex.org/W2063462490","https://openalex.org/W2067509122","https://openalex.org/W2133953743","https://openalex.org/W2161226285","https://openalex.org/W2322272875","https://openalex.org/W3124492363","https://openalex.org/W3126094555","https://openalex.org/W4231029809","https://openalex.org/W4242361212"],"related_works":["https://openalex.org/W1597686267","https://openalex.org/W2147485352","https://openalex.org/W3158538495","https://openalex.org/W2575715081","https://openalex.org/W3125513538","https://openalex.org/W2045815042","https://openalex.org/W2020915130","https://openalex.org/W2321836274","https://openalex.org/W2912508333","https://openalex.org/W2377377849"],"abstract_inverted_index":{"We":[0,28],"address":[1],"the":[2,6,11,23,41],"problem":[3],"of":[4,10,25],"calculating":[5],"least":[7,42],"core":[8],"value":[9],"routing":[12],"game":[13,17],"(the":[14],"traveling":[15],"salesman":[16],"with":[18],"a":[19,30,37],"fixed":[20],"route)":[21],"without":[22],"assumption":[24],"triangle":[26],"inequalities.":[27],"propose":[29],"polynomial":[31],"size":[32],"LP":[33],"formulation":[34],"for":[35],"finding":[36],"payoff":[38],"vector":[39],"in":[40],"core.":[43]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}