{"id":"https://openalex.org/W3115452290","doi":"https://doi.org/10.1007/s10107-022-01908-2","title":"Supermodularity and valid inequalities for quadratic optimization with indicators","display_name":"Supermodularity and valid inequalities for quadratic optimization with indicators","publication_year":2022,"publication_date":"2022-12-22","ids":{"openalex":"https://openalex.org/W3115452290","doi":"https://doi.org/10.1007/s10107-022-01908-2","mag":"3115452290"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-022-01908-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-022-01908-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-022-01908-2.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/s10107-022-01908-2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008007328","display_name":"Alper Atamt\u00fcrk","orcid":"https://orcid.org/0000-0003-1220-808X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alper Atamt\u00fcrk","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, University of California Berkeley, Berkeley, CA, 94720, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, University of California Berkeley, Berkeley, CA, 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085852340","display_name":"Andr\u00e9s G\u00f3mez","orcid":"https://orcid.org/0000-0003-3668-0653"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andr\u00e9s G\u00f3mez","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Viterbi School of Engineering, University of Southern California, Los Angeles, CA, 90089, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Viterbi School of Engineering, University of Southern California, Los Angeles, CA, 90089, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008007328"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2890},"fwci":1.6522,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.85056295,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"201","issue":"1-2","first_page":"295","last_page":"338"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9966999888420105,"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":0.9966999888420105,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9918000102043152,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9749000072479248,"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":0.8404443860054016},{"id":"https://openalex.org/keywords/epigraph","display_name":"Epigraph","score":0.8175616264343262},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.6448432207107544},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6356808543205261},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.577274739742279},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.536280632019043},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5329670906066895},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.44958969950675964},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.44946178793907166},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4454590976238251},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42574024200439453},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.415568083524704},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.4137510061264038},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4037472903728485},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.38123735785484314},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.34938791394233704},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3170703649520874},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.30213165283203125},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08874288201332092}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8404443860054016},{"id":"https://openalex.org/C17192189","wikidata":"https://www.wikidata.org/wiki/Q1347059","display_name":"Epigraph","level":2,"score":0.8175616264343262},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.6448432207107544},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6356808543205261},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.577274739742279},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.536280632019043},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5329670906066895},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.44958969950675964},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.44946178793907166},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4454590976238251},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42574024200439453},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.415568083524704},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.4137510061264038},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4037472903728485},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.38123735785484314},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.34938791394233704},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3170703649520874},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30213165283203125},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08874288201332092},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-022-01908-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-022-01908-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-022-01908-2.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10107-022-01908-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-022-01908-2","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-022-01908-2.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.46000000834465027}],"awards":[{"id":"https://openalex.org/G2811237814","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G3161381640","display_name":null,"funder_award_id":"211253","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3618184609","display_name":"Advancing Fractional Combinatorial Optimization: Computation and Applications","funder_award_id":"1818700","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4965765509","display_name":null,"funder_award_id":"12951270","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5986150752","display_name":null,"funder_award_id":"2112533","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6383158517","display_name":null,"funder_award_id":"1807260","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8832808162","display_name":null,"funder_award_id":"1930582","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306078","display_name":"U.S. Department of Defense","ror":"https://ror.org/0447fe631"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3115452290.pdf","grobid_xml":"https://content.openalex.org/works/W3115452290.grobid-xml"},"referenced_works_count":68,"referenced_works":["https://openalex.org/W206383345","https://openalex.org/W1576820654","https://openalex.org/W1664252374","https://openalex.org/W1680189815","https://openalex.org/W1817355486","https://openalex.org/W1849826302","https://openalex.org/W1965897919","https://openalex.org/W1967284207","https://openalex.org/W1968143987","https://openalex.org/W1997826608","https://openalex.org/W2009923109","https://openalex.org/W2012329067","https://openalex.org/W2031130715","https://openalex.org/W2047688435","https://openalex.org/W2049097512","https://openalex.org/W2049967295","https://openalex.org/W2050511894","https://openalex.org/W2053930851","https://openalex.org/W2074717871","https://openalex.org/W2078140282","https://openalex.org/W2093022060","https://openalex.org/W2105235982","https://openalex.org/W2109974898","https://openalex.org/W2120803616","https://openalex.org/W2122154958","https://openalex.org/W2130216784","https://openalex.org/W2135159299","https://openalex.org/W2137972592","https://openalex.org/W2148870598","https://openalex.org/W2166029977","https://openalex.org/W2170569252","https://openalex.org/W2199135087","https://openalex.org/W2246969754","https://openalex.org/W2413913460","https://openalex.org/W2478973774","https://openalex.org/W2505968561","https://openalex.org/W2606063390","https://openalex.org/W2616750249","https://openalex.org/W2617566184","https://openalex.org/W2797572905","https://openalex.org/W2912638342","https://openalex.org/W2941605821","https://openalex.org/W2963719189","https://openalex.org/W2979201123","https://openalex.org/W2980668405","https://openalex.org/W2990138404","https://openalex.org/W3010469363","https://openalex.org/W3016709314","https://openalex.org/W3017037005","https://openalex.org/W3021266223","https://openalex.org/W3038078229","https://openalex.org/W3040029477","https://openalex.org/W3095413488","https://openalex.org/W3097273900","https://openalex.org/W3098275687","https://openalex.org/W3111964120","https://openalex.org/W3118655244","https://openalex.org/W3121703539","https://openalex.org/W3125292313","https://openalex.org/W3184529703","https://openalex.org/W3197834255","https://openalex.org/W3205533488","https://openalex.org/W3215881363","https://openalex.org/W4379792694","https://openalex.org/W6600336938","https://openalex.org/W6602203279","https://openalex.org/W6603860191","https://openalex.org/W6649635690"],"related_works":["https://openalex.org/W2043888717","https://openalex.org/W2593476885","https://openalex.org/W2953152231","https://openalex.org/W1992995584","https://openalex.org/W2294623633","https://openalex.org/W2537787152","https://openalex.org/W1991726512","https://openalex.org/W2346229102","https://openalex.org/W1537899502","https://openalex.org/W3117518978"],"abstract_inverted_index":{"Abstract":[0],"We":[1,48],"study":[2],"the":[3,14,22,34,39,51,55,58,66,78,86,93,117,130],"minimization":[4,29],"of":[5,54,57,81,85,96],"a":[6,109],"rank-one":[7,40],"quadratic":[8,41,59,123,134],"with":[9,108,136],"indicators":[10],"and":[11,98],"show":[12,49],"that":[13,50,116],"underlying":[15,67],"set":[16,36,69],"function":[17,37,70],"obtained":[18,62],"by":[19,71],"projecting":[20],"out":[21],"continuous":[23],"variables":[24,97],"is":[25],"supermodular.":[26],"Although":[27],"supermodular":[28,68,119],"is,":[30],"in":[31,45,77,92,99,121,128],"general,":[32],"difficult,":[33],"specific":[35],"for":[38,65,133],"can":[42,60],"be":[43,61],"minimized":[44],"linear":[46],"time.":[47],"convex":[52],"hull":[53],"epigraph":[56],"from":[63],"inequalities":[64,76,120],"lifting":[72],"them":[73],"into":[74],"nonlinear":[75],"original":[79,94],"space":[80,95],"variables.":[82],"Explicit":[83],"forms":[84],"convex-hull":[87],"description":[88],"are":[89,125],"given,":[90],"both":[91],"an":[100],"extended":[101],"formulation":[102],"via":[103],"conic":[104,122],"quadratic-representable":[105],"inequalities,":[106],"along":[107],"polynomial":[110],"separation":[111],"algorithm.":[112],"Computational":[113],"experiments":[114],"indicate":[115],"lifted":[118],"form":[124],"quite":[126],"effective":[127],"reducing":[129],"integrality":[131],"gap":[132],"optimization":[135],"indicators.":[137]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}