{"id":"https://openalex.org/W7134804818","doi":"https://doi.org/10.1016/j.disopt.2026.100943","title":"Inverse of the Gomory corner relaxation of integer programs","display_name":"Inverse of the Gomory corner relaxation of integer programs","publication_year":2026,"publication_date":"2026-03-09","ids":{"openalex":"https://openalex.org/W7134804818","doi":"https://doi.org/10.1016/j.disopt.2026.100943"},"language":"en","primary_location":{"id":"doi:10.1016/j.disopt.2026.100943","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.disopt.2026.100943","pdf_url":null,"source":{"id":"https://openalex.org/S203549655","display_name":"Discrete Optimization","issn_l":"1572-5286","issn":["1572-5286","1873-636X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.disopt.2026.100943","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128686442","display_name":"George Lyu","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"George Lyu","raw_affiliation_strings":["Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA 02139, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA 02139, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042319092","display_name":"Fatemeh Nosrat","orcid":"https://orcid.org/0009-0009-2043-7115"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fatemeh Nosrat","raw_affiliation_strings":["Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, USA"],"raw_orcid":"https://orcid.org/0009-0009-2043-7115","affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083035521","display_name":"Andrew J. Schaefer","orcid":"https://orcid.org/0000-0002-0379-741X"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew J. Schaefer","raw_affiliation_strings":["Department of Computational Applied Mathematics and Operations Research, Rice University, Houston, TX 77005, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computational Applied Mathematics and Operations Research, Rice University, Houston, TX 77005, USA","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042319092"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":{"value":2560,"currency":"USD","value_usd":2560},"apc_paid":{"value":2560,"currency":"USD","value_usd":2560},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.54316468,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"60","issue":null,"first_page":"100943","last_page":"100943"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.30399999022483826,"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":0.30399999022483826,"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":0.12470000237226486,"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":0.12099999934434891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.652400016784668},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6323000192642212},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5271999835968018},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4611999988555908},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.3718000054359436}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7346000075340271},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.652400016784668},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6323000192642212},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5271999835968018},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5002999901771545},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4611999988555908},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38580000400543213},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.3718000054359436},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.3352999985218048},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3174000084400177},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3122999966144562},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29249998927116394},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.2874999940395355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2700999975204468},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26600000262260437}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.disopt.2026.100943","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.disopt.2026.100943","pdf_url":null,"source":{"id":"https://openalex.org/S203549655","display_name":"Discrete Optimization","issn_l":"1572-5286","issn":["1572-5286","1873-636X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Optimization","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.disopt.2026.100943","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.disopt.2026.100943","pdf_url":null,"source":{"id":"https://openalex.org/S203549655","display_name":"Discrete Optimization","issn_l":"1572-5286","issn":["1572-5286","1873-636X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W85113592","https://openalex.org/W1512208174","https://openalex.org/W1522385977","https://openalex.org/W1966229055","https://openalex.org/W1971441351","https://openalex.org/W1971547063","https://openalex.org/W2003486810","https://openalex.org/W2004100370","https://openalex.org/W2018433009","https://openalex.org/W2020562184","https://openalex.org/W2020662107","https://openalex.org/W2025803800","https://openalex.org/W2039438774","https://openalex.org/W2039557883","https://openalex.org/W2047329156","https://openalex.org/W2065803772","https://openalex.org/W2082037164","https://openalex.org/W2083358979","https://openalex.org/W2086250564","https://openalex.org/W2089318869","https://openalex.org/W2113442915","https://openalex.org/W2116209568","https://openalex.org/W2155131524","https://openalex.org/W2206092630","https://openalex.org/W2410264270","https://openalex.org/W2911796152","https://openalex.org/W2962997955","https://openalex.org/W3085454911","https://openalex.org/W3122987013","https://openalex.org/W3217196305","https://openalex.org/W4205484458"],"related_works":[],"abstract_inverted_index":{"We":[0,18,53,100],"explore":[1],"the":[2,10,32,41,46,56,60,68,76,80,90,94,97,112,116],"inverse":[3,11,28,42,47,61,81,95,117],"of":[4,12,48,59,67,79,93,96,115],"integer":[5],"programs":[6],"(IPs)":[7],"by":[8,39],"studying":[9],"their":[13],"Gomory":[14],"corner":[15],"relaxations":[16],"(GCRs).":[17],"propose":[19],"a":[20,49],"linear":[21],"programming":[22],"(LP)":[23],"formulation":[24],"for":[25],"solving":[26],"any":[27],"GCR":[29,43,62],"problem":[30,44],"under":[31,103],"L":[33,36],"1":[34],"and":[35],"\u221e":[37],"norms":[38],"reformulating":[40],"as":[45,87,89],"shortest":[50],"path":[51],"problem.":[52],"show":[54],"that":[55,83],"minimum":[57],"objective":[58],"across":[63],"all":[64],"feasible":[65],"bases":[66],"LP":[69,98],"relaxation":[70],"yields":[71],"an":[72],"upper":[73,106],"bound":[74,107],"on":[75],"optimal":[77,91,113],"value":[78,92,114],"IP":[82],"is":[84,108],"at":[85],"least":[86],"tight":[88],"relaxation.":[99],"provide":[101],"conditions":[102],"which":[104],"this":[105],"exactly":[109],"equal":[110],"to":[111],"IP.":[118]},"counts_by_year":[],"updated_date":"2026-03-12T06:13:28.667946","created_date":"2026-03-11T00:00:00"}