{"id":"https://openalex.org/W3087206551","doi":"https://doi.org/10.1080/10556788.2020.1818080","title":"On basic operations related to network induction of discrete convex functions","display_name":"On basic operations related to network induction of discrete convex functions","publication_year":2020,"publication_date":"2020-09-15","ids":{"openalex":"https://openalex.org/W3087206551","doi":"https://doi.org/10.1080/10556788.2020.1818080","mag":"3087206551"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2020.1818080","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2020.1818080","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","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/A5032957138","display_name":"Kazuo Murota","orcid":"https://orcid.org/0000-0003-1518-9152"},"institutions":[{"id":"https://openalex.org/I69740276","display_name":"Tokyo Metropolitan University","ror":"https://ror.org/00ws30h19","country_code":"JP","type":"education","lineage":["https://openalex.org/I69740276"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kazuo Murota","raw_affiliation_strings":["Department of Economics and Business Administration, Tokyo Metropolitan University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Economics and Business Administration, Tokyo Metropolitan University, Tokyo, Japan","institution_ids":["https://openalex.org/I69740276"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032957138"],"corresponding_institution_ids":["https://openalex.org/I69740276"],"apc_list":null,"apc_paid":null,"fwci":1.7671,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.8397711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"36","issue":"2-3","first_page":"519","last_page":"559"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9908999800682068,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9890999794006348,"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/regular-polygon","display_name":"Regular polygon","score":0.5374634265899658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43412601947784424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.390145868062973},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0742853581905365}],"concepts":[{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5374634265899658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43412601947784424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.390145868062973},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0742853581905365}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10556788.2020.1818080","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2020.1818080","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1207695997","display_name":null,"funder_award_id":"JP26280004","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G2789557472","display_name":null,"funder_award_id":"JP20K11697","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W50901504","https://openalex.org/W1522351268","https://openalex.org/W1589059132","https://openalex.org/W1968865391","https://openalex.org/W1976142447","https://openalex.org/W1978390501","https://openalex.org/W1980821524","https://openalex.org/W1982585152","https://openalex.org/W1983199941","https://openalex.org/W1985016150","https://openalex.org/W2013303693","https://openalex.org/W2035186046","https://openalex.org/W2035651369","https://openalex.org/W2043507681","https://openalex.org/W2044978230","https://openalex.org/W2049688189","https://openalex.org/W2049715533","https://openalex.org/W2055959255","https://openalex.org/W2066009612","https://openalex.org/W2066894529","https://openalex.org/W2070580226","https://openalex.org/W2071703764","https://openalex.org/W2075976548","https://openalex.org/W2079530391","https://openalex.org/W2084792817","https://openalex.org/W2091176940","https://openalex.org/W2097377130","https://openalex.org/W2099063943","https://openalex.org/W2112245214","https://openalex.org/W2123812125","https://openalex.org/W2135178148","https://openalex.org/W2139672304","https://openalex.org/W2148517677","https://openalex.org/W2171578835","https://openalex.org/W2740271283","https://openalex.org/W2766225460","https://openalex.org/W2778764888","https://openalex.org/W2956823941","https://openalex.org/W2962809744","https://openalex.org/W2963240754","https://openalex.org/W2963674841","https://openalex.org/W2963960653","https://openalex.org/W2971467683","https://openalex.org/W2987649804","https://openalex.org/W2988480584","https://openalex.org/W2991517729","https://openalex.org/W3104190763","https://openalex.org/W3122688040","https://openalex.org/W3124688973","https://openalex.org/W4206054140","https://openalex.org/W4212955877","https://openalex.org/W4214827656","https://openalex.org/W4231868828","https://openalex.org/W4242336842","https://openalex.org/W4297069203","https://openalex.org/W4299434542"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"Discrete":[0],"convex":[1,42,48,54,58,65,76],"functions":[2,43,55],"are":[3,35,60],"used":[4],"in":[5,56],"many":[6],"areas,":[7],"including":[8],"operations":[9,26],"research,":[10],"discrete-event":[11],"systems,":[12],"game":[13],"theory,":[14],"and":[15,32,73],"economics.":[16],"The":[17],"objective":[18],"of":[19,40,52],"this":[20],"paper":[21],"is":[22],"to":[23,37],"investigate":[24],"basic":[25],"such":[27,62],"as":[28,44,46,63],"direct":[29],"sum,":[30],"splitting,":[31],"aggregation":[33],"that":[34],"related":[36],"network":[38],"induction":[39],"discrete":[41,47,53,57,74],"well":[45],"sets.":[49],"Various":[50],"kinds":[51],"analysis":[59],"considered":[61],"integrally":[64],"functions,":[66,68,70,72],"L-convex":[67],"M-convex":[69],"multimodular":[71],"midpoint":[75],"functions.":[77]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}