{"id":"https://openalex.org/W4386216909","doi":"https://doi.org/10.1007/s10107-023-02009-4","title":"A polynomial-size extended formulation for the multilinear polytope of beta-acyclic hypergraphs","display_name":"A polynomial-size extended formulation for the multilinear polytope of beta-acyclic hypergraphs","publication_year":2023,"publication_date":"2023-08-28","ids":{"openalex":"https://openalex.org/W4386216909","doi":"https://doi.org/10.1007/s10107-023-02009-4"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-023-02009-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-023-02009-4","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041262148","display_name":"Alberto Del Pia","orcid":"https://orcid.org/0000-0001-8428-3914"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alberto Del Pia","raw_affiliation_strings":["Department of Industrial and Systems Engineering and Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, USA"],"raw_orcid":"https://orcid.org/0000-0001-8428-3914","affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering and Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, USA","institution_ids":["https://openalex.org/I2802999273","https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059503583","display_name":"Aida Khajavirad","orcid":"https://orcid.org/0000-0002-7097-1676"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Aida Khajavirad","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Lehigh University, Bethlehem, USA"],"raw_orcid":"https://orcid.org/0000-0002-7097-1676","affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Lehigh University, Bethlehem, USA","institution_ids":["https://openalex.org/I186143895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059503583"],"corresponding_institution_ids":["https://openalex.org/I186143895"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.1639,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.81781067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"207","issue":"1-2","first_page":"269","last_page":"301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9939000010490417,"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":0.9939000010490417,"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/T11797","display_name":"graph theory and CDMA systems","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9897000193595886,"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/multilinear-map","display_name":"Multilinear map","score":0.9395860433578491},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.86342453956604},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.843647837638855},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7711849808692932},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.7244101762771606},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.713590681552887},{"id":"https://openalex.org/keywords/birkhoff-polytope","display_name":"Birkhoff polytope","score":0.704663097858429},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5431091785430908},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44345566630363464},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.429412305355072},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4269486665725708},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.4211719036102295},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41504910588264465},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.22816675901412964},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.15412777662277222},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09256169199943542},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08959135413169861},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07066026329994202},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06169235706329346},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06016510725021362}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.9395860433578491},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.86342453956604},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.843647837638855},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7711849808692932},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.7244101762771606},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.713590681552887},{"id":"https://openalex.org/C206304794","wikidata":"https://www.wikidata.org/wiki/Q4916482","display_name":"Birkhoff polytope","level":5,"score":0.704663097858429},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5431091785430908},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44345566630363464},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.429412305355072},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4269486665725708},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.4211719036102295},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41504910588264465},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.22816675901412964},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.15412777662277222},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09256169199943542},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08959135413169861},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07066026329994202},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06169235706329346},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06016510725021362},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-023-02009-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-023-02009-4","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2953252471","display_name":null,"funder_award_id":"FA9550-23-1-0123","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7976293659","display_name":null,"funder_award_id":"N00014-19-1-2322","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1597962932","https://openalex.org/W2012010258","https://openalex.org/W2032797941","https://openalex.org/W2078992232","https://openalex.org/W2104498537","https://openalex.org/W2148417962","https://openalex.org/W2151308681","https://openalex.org/W2358239530","https://openalex.org/W2548938557","https://openalex.org/W2560847365","https://openalex.org/W2611323361","https://openalex.org/W2759253428","https://openalex.org/W2797698037","https://openalex.org/W2801165240","https://openalex.org/W2804302623","https://openalex.org/W2964874319","https://openalex.org/W3041027895","https://openalex.org/W3043998885","https://openalex.org/W3146365460","https://openalex.org/W3153097307","https://openalex.org/W4285212989","https://openalex.org/W4301808069","https://openalex.org/W4319989288","https://openalex.org/W6600751047"],"related_works":["https://openalex.org/W2082133472","https://openalex.org/W4214854099","https://openalex.org/W4301600724","https://openalex.org/W2237223497","https://openalex.org/W4298021137","https://openalex.org/W2319088853","https://openalex.org/W173145114","https://openalex.org/W2119280657","https://openalex.org/W4381713517","https://openalex.org/W3153097307"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
