{"id":"https://openalex.org/W2119368733","doi":"https://doi.org/10.1145/2213977.2213988","title":"Linear vs. semidefinite extended formulations","display_name":"Linear vs. semidefinite extended formulations","publication_year":2012,"publication_date":"2012-05-19","ids":{"openalex":"https://openalex.org/W2119368733","doi":"https://doi.org/10.1145/2213977.2213988","mag":"2119368733"},"language":"en","primary_location":{"id":"doi:10.1145/2213977.2213988","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2213977.2213988","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-fourth annual ACM symposium on Theory of computing","raw_type":"proceedings-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/A5001781037","display_name":"Samuel Fiorini","orcid":"https://orcid.org/0000-0002-6845-9008"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Samuel Fiorini","raw_affiliation_strings":["Universit\u00e9 libre de Bruxelles, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024306150","display_name":"Serge Massar","orcid":"https://orcid.org/0000-0002-4381-2485"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Serge Massar","raw_affiliation_strings":["Universit\u00e9 libre de Bruxelles, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043574831","display_name":"Sebastian Pokutta","orcid":"https://orcid.org/0000-0001-7365-3000"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sebastian Pokutta","raw_affiliation_strings":["Friedrich-Alexander Universit\u00e4t, Erlangen, Germany"],"affiliations":[{"raw_affiliation_string":"Friedrich-Alexander Universit\u00e4t, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036380953","display_name":"Hans Raj Tiwary","orcid":"https://orcid.org/0000-0003-1903-1600"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Hans Raj Tiwary","raw_affiliation_strings":["Universit\u00e9 libre de Bruxelles, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066563480","display_name":"Ronald de Wolf","orcid":"https://orcid.org/0000-0001-5147-6090"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ronald de Wolf","raw_affiliation_strings":["CWI and University of Amsterdam, Amsterdam, Netherlands"],"affiliations":[{"raw_affiliation_string":"CWI and University of Amsterdam, Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5001781037"],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":null,"apc_paid":null,"fwci":46.8653,"has_fulltext":false,"cited_by_count":191,"citation_normalized_percentile":{"value":0.99882185,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"95","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.995199978351593,"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"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.995199978351593,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.989300012588501,"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":0.9879999756813049,"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/polytope","display_name":"Polytope","score":0.8242581486701965},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7561683654785156},{"id":"https://openalex.org/keywords/birkhoff-polytope","display_name":"Birkhoff polytope","score":0.6793957948684692},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6654077768325806},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5884968042373657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5711245536804199},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4782794415950775},{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.4569428861141205},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.44815242290496826},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35946518182754517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31324824690818787},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.31278127431869507},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.08610531687736511},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.07919284701347351}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8242581486701965},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7561683654785156},{"id":"https://openalex.org/C206304794","wikidata":"https://www.wikidata.org/wiki/Q4916482","display_name":"Birkhoff polytope","level":5,"score":0.6793957948684692},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6654077768325806},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5884968042373657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5711245536804199},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4782794415950775},{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.4569428861141205},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.44815242290496826},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35946518182754517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31324824690818787},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.31278127431869507},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.08610531687736511},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.07919284701347351},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/2213977.2213988","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2213977.2213988","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-fourth annual ACM symposium on Theory of computing","raw_type":"proceedings-article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/8a6512a6-3173-44e8-9ae6-664347b58e9f","is_oa":false,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/linear-vs-semidefinite-extended-formulations-exponential-separation-and-strong-lower-bounds(8a6512a6-3173-44e8-9ae6-664347b58e9f).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fiorini, S, Massar, S, Pokutta, S, Tiwary, H R & de Wolf, R 2012, Linear vs. semidefinite extended formulations: exponential separation and strong lower bounds. in STOC'12 : 2012 ACM Symposium on Theory of Computing : May 19-22, 2012, New York, New York, USA . New York, pp. 95-106, 44th annual ACM Symposium on Theory of Computing, New York, New York, United States, 19/05/12. https://doi.org/10.1145/2213977.2213988","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dare.uva.nl:publications/8a6512a6-3173-44e8-9ae6-664347b58e9f","is_oa":false,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/linear-vs-semidefinite-extended-formulations-exponential-separation-and-strong-lower-bounds(8a6512a6-3173-44e8-9ae6-664347b58e9f).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fiorini, S, Massar, S, Pokutta, S, Tiwary, H R & de Wolf, R 2012, Linear vs. semidefinite extended formulations: exponential separation and strong lower bounds. in STOC'12 : 2012 ACM Symposium on Theory of Computing : May 19-22, 2012, New York, New York, USA . New York, pp. 95-106, 44th annual ACM Symposium on Theory of Computing, New York, New York, United States, 19/05/12. https://doi.org/10.1145/2213977.2213988","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/132562","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/132562","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"In: Proceedings of the Symposium on Theory of Computing (STOC) 2012","raw_type":"info:ulb-repo/semantics/openurl/proceeding"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W153015188","https://openalex.org/W1485993952","https://openalex.org/W1496447390","https://openalex.org/W1553702074","https://openalex.org/W1585955818","https://openalex.org/W1587123489","https://openalex.org/W1631356911","https://openalex.org/W1656332724","https://openalex.org/W1965650902","https://openalex.org/W1968321268","https://openalex.org/W1970193303","https://openalex.org/W1972982762","https://openalex.org/W1972997295","https://openalex.org/W1980575345","https://openalex.org/W1982283204","https://openalex.org/W1998919258","https://openalex.org/W2000211775","https://openalex.org/W2005285611","https://openalex.org/W2012824096","https://openalex.org/W2023546589","https://openalex.org/W2049143039","https://openalex.org/W2061987651","https://openalex.org/W2067046685","https://openalex.org/W2068422506","https://openalex.org/W2070486524","https://openalex.org/W2078289947","https://openalex.org/W2083858754","https://openalex.org/W2083896132","https://openalex.org/W2095739278","https://openalex.org/W2097192020","https://openalex.org/W2106264302","https://openalex.org/W2111517082","https://openalex.org/W2148016452","https://openalex.org/W2148146542","https://openalex.org/W2154757828","https://openalex.org/W2158907148","https://openalex.org/W2246801328","https://openalex.org/W2337855014","https://openalex.org/W2340787257","https://openalex.org/W2764347725","https://openalex.org/W2988480584","https://openalex.org/W3022030295","https://openalex.org/W3105023213","https://openalex.org/W4206570602","https://openalex.org/W4253214256","https://openalex.org/W6770759485"],"related_works":["https://openalex.org/W2953076628","https://openalex.org/W2085110259","https://openalex.org/W2963837916","https://openalex.org/W2949863507","https://openalex.org/W2773485609","https://openalex.org/W4297969877","https://openalex.org/W1854884900","https://openalex.org/W2023190453","https://openalex.org/W4287661028","https://openalex.org/W2778515850"],"abstract_inverted_index":{"We":[0],"solve":[1],"a":[2,59],"20-year":[3],"old":[4],"problem":[5],"posed":[6],"by":[7],"Yannakakis":[8],"and":[9,49,70],"prove":[10,40],"that":[11,41,62],"there":[12],"exists":[13],"no":[14],"polynomial-size":[15],"linear":[16],"program":[17],"(LP)":[18],"whose":[19],"associated":[20],"polytope":[21,48],"projects":[22],"to":[23,35],"the":[24,30,46,50],"traveling":[25],"salesman":[26],"polytope,":[27],"even":[28],"if":[29],"LP":[31],"is":[32],"not":[33],"required":[34],"be":[36],"symmetric.":[37],"Moreover,":[38],"we":[39,63],"this":[42],"holds":[43],"also":[44],"for":[45],"cut":[47],"stable":[51],"set":[52],"polytope.":[53],"These":[54],"results":[55],"were":[56],"discovered":[57],"through":[58],"new":[60],"connection":[61],"make":[64],"between":[65],"one-way":[66],"quantum":[67],"communication":[68],"protocols":[69],"semidefinite":[71],"programming":[72],"reformulations":[73],"of":[74],"LPs.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":26},{"year":2015,"cited_by_count":29},{"year":2014,"cited_by_count":41},{"year":2013,"cited_by_count":29},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}
