{"id":"https://openalex.org/W1816633297","doi":"https://doi.org/10.1007/978-3-642-32147-4_13","title":"Extended Formulations, Nonnegative Factorizations, and Randomized Communication Protocols","display_name":"Extended Formulations, Nonnegative Factorizations, and Randomized Communication Protocols","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1816633297","doi":"https://doi.org/10.1007/978-3-642-32147-4_13","mag":"1816633297"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-32147-4_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-32147-4_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/181894","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073986859","display_name":"Yuri Faenza","orcid":"https://orcid.org/0000-0002-3148-2159"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Yuri Faenza","raw_affiliation_strings":["Dipartimento di Matematica Pura e Applicata, Universit\u00e0 di Padova, Via Trieste 63, 35121, Padova, Italy","Dipartimento di matematica pura e applicata, Universita' di Padova, Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Pura e Applicata, Universit\u00e0 di Padova, Via Trieste 63, 35121, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dipartimento di matematica pura e applicata, Universita' di Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","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":false,"raw_author_name":"Samuel Fiorini","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matique, Universit\u00e9 Libre de Bruxelles, CP 216, Boulevard du Triomphe, 1050, Brussels, Belgium","Departement de Mathematique, Universite Libre de Bruxelles, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matique, Universit\u00e9 Libre de Bruxelles, CP 216, Boulevard du Triomphe, 1050, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Departement de Mathematique, Universite Libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067831455","display_name":"Roland Grappe","orcid":"https://orcid.org/0000-0002-7093-2175"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Roland Grappe","raw_affiliation_strings":["Laboratoire d\u2019Informatique de Paris-Nord, UMR CNRS 7030, Institut Galil\u00e9e, Universit\u00e9 Paris-Nord, Avenue Jean-Baptiste Cl\u00e9ment, 93430, Villetaneuse, France","Laboratoire d\u2019informatique de Paris Nord UMR CNRS 7030 \u2013 Institut Galil\u00e9e, Universit\u00e9 Paris Nord, Villetaneuse, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique de Paris-Nord, UMR CNRS 7030, Institut Galil\u00e9e, Universit\u00e9 Paris-Nord, Avenue Jean-Baptiste Cl\u00e9ment, 93430, Villetaneuse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210156583"]},{"raw_affiliation_string":"Laboratoire d\u2019informatique de Paris Nord UMR CNRS 7030 \u2013 Institut Galil\u00e9e, Universit\u00e9 Paris Nord, Villetaneuse, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]}]},{"author_position":"last","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":["D\u00e9partement de Math\u00e9matique, Universit\u00e9 Libre de Bruxelles, CP 216, Boulevard du Triomphe, 1050, Brussels, Belgium","Departement de Mathematique, Universite Libre de Bruxelles, Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matique, Universit\u00e9 Libre de Bruxelles, CP 216, Boulevard du Triomphe, 1050, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Departement de Mathematique, Universite Libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073986859"],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.3396,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.98073218,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"129","last_page":"140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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":0.9995999932289124,"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/T11716","display_name":"Random Matrices and Applications","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.9979000091552734,"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/logarithm","display_name":"Logarithm","score":0.7628921866416931},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.6994330883026123},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.6060410737991333},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.5501195192337036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5342867374420166},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5106235146522522},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4832806885242462},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4672391712665558},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4582255780696869},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.4482835829257965},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44404512643814087},{"id":"https://openalex.org/keywords/nonnegative-matrix","display_name":"Nonnegative matrix","score":0.43844422698020935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4304141104221344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3964197635650635},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.13097736239433289},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10479956865310669},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10244843363761902}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7628921866416931},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.6994330883026123},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6060410737991333},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.5501195192337036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5342867374420166},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5106235146522522},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4832806885242462},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4672391712665558},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4582255780696869},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.4482835829257965},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44404512643814087},{"id":"https://openalex.org/C139018669","wikidata":"https://www.wikidata.org/wiki/Q6961560","display_name":"Nonnegative matrix","level":4,"score":0.43844422698020935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4304141104221344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3964197635650635},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.13097736239433289},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10479956865310669},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10244843363761902},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-642-32147-4_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-32147-4_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/163345","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/163345","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":"Lecture notes in computer science, 7422","raw_type":"info:ulb-repo/semantics/openurl/article"},{"id":"pmh:oai:infoscience.epfl.ch:181894","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/181894","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:181894","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/86292","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:181894","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/181894","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1597196612","https://openalex.org/W1980223785","https://openalex.org/W1991528957","https://openalex.org/W2058408846","https://openalex.org/W2061987651","https://openalex.org/W2070486524","https://openalex.org/W2100440346","https://openalex.org/W2111517082","https://openalex.org/W2119368733","https://openalex.org/W2120210041","https://openalex.org/W2152557171","https://openalex.org/W2161226285","https://openalex.org/W2327315803","https://openalex.org/W2337855014","https://openalex.org/W2340787257","https://openalex.org/W2611804663","https://openalex.org/W2912956481","https://openalex.org/W2952775235","https://openalex.org/W2988480584","https://openalex.org/W3022030295","https://openalex.org/W4206570602","https://openalex.org/W6609832855"],"related_works":["https://openalex.org/W4280529077","https://openalex.org/W2507185596","https://openalex.org/W1493684871","https://openalex.org/W4286224459","https://openalex.org/W2406030282","https://openalex.org/W290381399","https://openalex.org/W2296156273","https://openalex.org/W2739806313","https://openalex.org/W2069873915","https://openalex.org/W2020377431"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}