{"id":"https://openalex.org/W2074891551","doi":"https://doi.org/10.1137/060656899","title":"Polynomial-Time Algorithms for Linear and Convex Optimization on Jump Systems","display_name":"Polynomial-Time Algorithms for Linear and Convex Optimization on Jump Systems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2074891551","doi":"https://doi.org/10.1137/060656899","mag":"2074891551"},"language":"en","primary_location":{"id":"doi:10.1137/060656899","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060656899","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://tohoku.repo.nii.ac.jp/records/66886","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067169957","display_name":"Akiyoshi Shioura","orcid":"https://orcid.org/0000-0002-5216-7190"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Akiyoshi Shioura","raw_affiliation_strings":["INF - System Information Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INF - System Information Sciences","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028278086","display_name":"Ken\u2019ichiro Tanaka","orcid":"https://orcid.org/0000-0003-0359-0969"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ken'ichiro Tanaka","raw_affiliation_strings":["The University of Tokyo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Tokyo","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5775,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.89358046,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"21","issue":"2","first_page":"504","last_page":"522"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9868000149726868,"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/mathematics","display_name":"Mathematics","score":0.750643789768219},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.6064707040786743},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.5592949986457825},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5331140756607056},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5236963033676147},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4693511426448822},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4602377414703369},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.45083677768707275},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43894559144973755},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37974312901496887},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3733002543449402},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35784250497817993},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3383888006210327},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3372272253036499},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11302855610847473}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.750643789768219},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.6064707040786743},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5592949986457825},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5331140756607056},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5236963033676147},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4693511426448822},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4602377414703369},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.45083677768707275},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43894559144973755},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37974312901496887},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3733002543449402},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35784250497817993},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3383888006210327},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3372272253036499},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11302855610847473},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/060656899","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060656899","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:irdb.nii.ac.jp:00918:0000486943","is_oa":true,"landing_page_url":"https://tohoku.repo.nii.ac.jp/records/66886","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM journal on discrete mathematics","raw_type":"journal article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.91.3656","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.91.3656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://opus.kobv.de/zib/volltexte/2006/913/pdf/ZR-06-19.pdf","raw_type":"text"},{"id":"pmh:oai:irdb.nii.ac.jp:01406:0005256895","is_oa":false,"landing_page_url":"https://fun.repo.nii.ac.jp/records/4106","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal article"},{"id":"pmh:oai:t2r2.star.titech.ac.jp:50719975","is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100927219","pdf_url":null,"source":{"id":"https://openalex.org/S4377196385","display_name":"Tokyo Tech Research Repository (Tokyo Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114531698","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/I114531698"],"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":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:00918:0000486943","is_oa":true,"landing_page_url":"https://tohoku.repo.nii.ac.jp/records/66886","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM journal on discrete mathematics","raw_type":"journal article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W89087575","https://openalex.org/W1971775248","https://openalex.org/W1984509778","https://openalex.org/W1989262026","https://openalex.org/W2006309149","https://openalex.org/W2020975012","https://openalex.org/W2026225389","https://openalex.org/W2043507681","https://openalex.org/W2054873505","https://openalex.org/W2066894529","https://openalex.org/W2079530391","https://openalex.org/W2115815938","https://openalex.org/W2141460146","https://openalex.org/W2155466993","https://openalex.org/W2163244890","https://openalex.org/W2170726282","https://openalex.org/W2304678994","https://openalex.org/W4212781838"],"related_works":["https://openalex.org/W2351666715","https://openalex.org/W1967543778","https://openalex.org/W2757332726","https://openalex.org/W2382902960","https://openalex.org/W2369384937","https://openalex.org/W2352146386","https://openalex.org/W1971979548","https://openalex.org/W2187449906","https://openalex.org/W3011190762","https://openalex.org/W2962818859"],"abstract_inverted_index":{"The":[0,107],"concept":[1,130],"of":[2,22,74,81,90,131,159],"a":[3,20,26,59,63,71,82,91,95],"jump":[4,42,64,96,136],"system,":[5],"introduced":[6],"by":[7,143,169],"Bouchet":[8],"and":[9,37,44,98],"Cunningham":[10],"[SIAM":[11,145],"J.":[12,146],"Discrete":[13,147],"Math.,":[14,121,148],"8":[15],"(1995),":[16],"pp.":[17,124,151],"17\u201332],":[18],"is":[19,66,109,154],"set":[21],"integer":[23],"points":[24],"with":[25],"certain":[27],"exchange":[28],"property.":[29],"In":[30],"this":[31,105],"paper,":[32],"we":[33],"discuss":[34],"several":[35],"linear":[36,83],"convex":[38],"optimization":[39],"problems":[40,48],"on":[41,94,111,134],"systems":[43,137],"show":[45],"that":[46,58,156],"these":[47],"can":[49,163],"be":[50,164],"solved":[51,165],"in":[52,117,166],"polynomial":[53,167],"time":[54,168],"under":[55],"the":[56,75,79,88,100,112,129,157,170],"assumption":[57],"membership":[60],"oracle":[61],"for":[62,78,104],"system":[65,97],"available.":[67],"We":[68,85,126],"first":[69,101],"present":[70],"polynomial-time":[72,102],"implementation":[73],"greedy":[76],"algorithm":[77,103,108],"minimization":[80,89,158],"function.":[84],"then":[86],"consider":[87,128],"separable-convex":[92],"function":[93,162],"propose":[99],"problem.":[106],"based":[110],"domain":[113,171],"reduction":[114,172],"approach":[115],"developed":[116],"Shioura":[118],"[Discrete":[119],"Appl.":[120],"84":[122],"(1998),":[123],"215\u2013220].":[125],"finally":[127],"M-convex":[132,161],"functions":[133],"constant-parity":[135],"which":[138],"has":[139],"been":[140],"recently":[141],"proposed":[142],"Murota":[144],"20":[149],"(2006),":[150],"213\u2013226].":[152],"It":[153],"shown":[155],"an":[160],"approach.":[173]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}