{"id":"https://openalex.org/W4392658261","doi":"https://doi.org/10.1145/3651151","title":"Twin-Width IV: Ordered Graphs and Matrices","display_name":"Twin-Width IV: Ordered Graphs and Matrices","publication_year":2024,"publication_date":"2024-03-11","ids":{"openalex":"https://openalex.org/W4392658261","doi":"https://doi.org/10.1145/3651151"},"language":"en","primary_location":{"id":"doi:10.1145/3651151","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3651151","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3651151","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3651151","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083806838","display_name":"\u00c9douard Bonnet","orcid":"https://orcid.org/0000-0002-1653-5822"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9douard Bonnet","raw_affiliation_strings":["ENS de Lyon, LIP UMR5668, Lyon, France","LIP (France)","MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)"],"raw_orcid":"https://orcid.org/0000-0002-1653-5822","affiliations":[{"raw_affiliation_string":"ENS de Lyon, LIP UMR5668, Lyon, France","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"LIP (France)","institution_ids":["https://openalex.org/I4210159731"]},{"raw_affiliation_string":"MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)","institution_ids":["https://openalex.org/I113428412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045368261","display_name":"Ugo Giocanti","orcid":"https://orcid.org/0000-0002-0682-0654"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210094718","display_name":"Laboratoire des Sciences pour la Conception, l'Optimisation et la Production","ror":"https://ror.org/00rv5x925","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210094718","https://openalex.org/I4210159245","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ugo Giocanti","raw_affiliation_strings":["Univ. Grenoble Alpes, CNRS, Laboratoire G-SCOP, Grenoble, France","G-SCOP_OC - Optimisation Combinatoire (46 Avenue F\u00e9lix Viallet 38001 GRENOBLE Cedex 1 - France)"],"raw_orcid":"https://orcid.org/0000-0002-0682-0654","affiliations":[{"raw_affiliation_string":"Univ. Grenoble Alpes, CNRS, Laboratoire G-SCOP, Grenoble, France","institution_ids":["https://openalex.org/I4210094718","https://openalex.org/I899635006","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"G-SCOP_OC - Optimisation Combinatoire (46 Avenue F\u00e9lix Viallet 38001 GRENOBLE Cedex 1 - France)","institution_ids":["https://openalex.org/I4210094718"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004397700","display_name":"Patrice Ossona de Mendez","orcid":"https://orcid.org/0000-0003-0724-3729"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]},{"id":"https://openalex.org/I4210100624","display_name":"Centre d'Analyse et de Math\u00e9matique Sociales","ror":"https://ror.org/00vb8fc53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210100624","https://openalex.org/I4210150854","https://openalex.org/I90669466"]}],"countries":["CZ","FR"],"is_corresponding":false,"raw_author_name":"Patrice Ossona de Mendez","raw_affiliation_strings":["CAMS CNRS UMR 8557, Paris, France and Charles University, Prague, Czech Republic","CAMS - Centre d'Analyse et de Math\u00e9matique sociales (54 boulevard Raspail 75006 Paris - France)"],"raw_orcid":"https://orcid.org/0000-0003-0724-3729","affiliations":[{"raw_affiliation_string":"CAMS CNRS UMR 8557, Paris, France and Charles University, Prague, Czech Republic","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21250087"]},{"raw_affiliation_string":"CAMS - Centre d'Analyse et de Math\u00e9matique sociales (54 boulevard Raspail 75006 Paris - France)","institution_ids":["https://openalex.org/I4210100624"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108734495","display_name":"Pierre Simon","orcid":"https://orcid.org/0000-0002-2923-8202"},"institutions":[{"id":"https://openalex.org/I134446601","display_name":"Berkeley College","ror":"https://ror.org/02xewxa75","country_code":"US","type":"education","lineage":["https://openalex.org/I134446601"]},{"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":false,"raw_author_name":"Pierre Simon","raw_affiliation_strings":["UC Berkeley, Berkeley, United States","UC Berkeley - University of California [Berkeley] (Berkeley, CA - United States)"],"raw_orcid":"https://orcid.org/0000-0002-2923-8202","affiliations":[{"raw_affiliation_string":"UC Berkeley, Berkeley, United States","institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"]},{"raw_affiliation_string":"UC Berkeley - University of California [Berkeley] (Berkeley, CA - United States)","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033238040","display_name":"St\u00e9phan Thomass\u00e9","orcid":"https://orcid.org/0000-0002-7090-1790"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"St\u00e9phan Thomass\u00e9","raw_affiliation_strings":["ENS de Lyon, LIP UMR5668, Lyon, France","MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)"],"raw_orcid":"https://orcid.org/0000-0002-7090-1790","affiliations":[{"raw_affiliation_string":"ENS de Lyon, LIP UMR5668, Lyon, France","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)","institution_ids":["https://openalex.org/I113428412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085711958","display_name":"Szymon Toru\u0144czyk","orcid":"https://orcid.org/0000-0002-1130-9033"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Szymon Toru\u0144czyk","raw_affiliation_strings":["University of Warsaw, Warszawa Poland","MIMUW - Faculty of Mathematics, Informatics, and Mechanics [Warsaw] (Banacha 2, 02-097 Warsaw - Poland)"],"raw_orcid":"https://orcid.org/0000-0002-1130-9033","affiliations":[{"raw_affiliation_string":"University of Warsaw, Warszawa Poland","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"MIMUW - Faculty of Mathematics, Informatics, and Mechanics [Warsaw] (Banacha 2, 02-097 Warsaw - Poland)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.451,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.95065162,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"71","issue":"3","first_page":"1","last_page":"45"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11476","display_name":"Graph theory and applications","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9987000226974487,"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/combinatorics","display_name":"Combinatorics","score":0.5889316201210022},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4003481864929199},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3912421762943268}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5889316201210022},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4003481864929199},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3912421762943268}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3651151","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3651151","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3651151","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04659322v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04659322","pdf_url":"https://hal.science/hal-03714452/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of the ACM (JACM), 2024, 71 (3), pp.1-45. ⟨10.1145/3651151⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1145/3651151","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3651151","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3651151","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2236770639","display_name":null,"funder_award_id":"ANR-21-CE48-0014-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2601637665","display_name":"Dynamics and Structure of Networks","funder_award_id":"810115","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G496550631","display_name":null,"funder_award_id":"ANR-19-CE48-0013","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5419085267","display_name":null,"funder_award_id":"ANR-21-CE48-0014","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6268741103","display_name":null,"funder_award_id":"0014-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6604022432","display_name":null,"funder_award_id":"ANR-21-CE48-0014-01, and ANR-19-CE48-0013-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6697643969","display_name":null,"funder_award_id":"ANR-19-CE48-0013-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8318455765","display_name":null,"funder_award_id":"ANR-19","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8400866838","display_name":"Decomposition methods for discrete problems","funder_award_id":"948057","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392658261.pdf","grobid_xml":"https://content.openalex.org/works/W4392658261.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W891461","https://openalex.org/W616212347","https://openalex.org/W1515964912","https://openalex.org/W1518125722","https://openalex.org/W1564936042","https://openalex.org/W1954019403","https://openalex.org/W1978982711","https://openalex.org/W1985572324","https://openalex.org/W1993698725","https://openalex.org/W1993920925","https://openalex.org/W1994264784","https://openalex.org/W1995390874","https://openalex.org/W2017769265","https://openalex.org/W2028357390","https://openalex.org/W2029001691","https://openalex.org/W2030054235","https://openalex.org/W2053991811","https://openalex.org/W2076594341","https://openalex.org/W2084701730","https://openalex.org/W2091015960","https://openalex.org/W2112212574","https://openalex.org/W2121741654","https://openalex.org/W2124442576","https://openalex.org/W2126513401","https://openalex.org/W2132914818","https://openalex.org/W2166736885","https://openalex.org/W2478532189","https://openalex.org/W2531248283","https://openalex.org/W2625266575","https://openalex.org/W2751513393","https://openalex.org/W2951318883","https://openalex.org/W2963945501","https://openalex.org/W2964004645","https://openalex.org/W2964091007","https://openalex.org/W2964230593","https://openalex.org/W3045979265","https://openalex.org/W3115774673","https://openalex.org/W3129130258","https://openalex.org/W3147781287","https://openalex.org/W6781521936"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"We":[0],"establish":[1],"a":[2,99,127,139,158],"list":[3],"of":[4,6,12,18,43,82,113,116,142,151,161,178],"characterizations":[5],"bounded":[7,164],"twin-width":[8,132],"for":[9,54,131],"hereditary":[10,80,114,149],"classes":[11,17,30,36,53,115,150,162],"totally":[13],"ordered":[14,83,117,134,152,179],"graphs:":[15],"as":[16,27,35,52],"at":[19,87,93],"most":[20,88],"exponential":[21,89],"growth":[22,112],"studied":[23,31,46,63],"in":[24,32,47,64,175],"enumerative":[25],"combinatorics,":[26],"monadically":[28],"NIP":[29],"model":[33,49,56,146],"theory,":[34,50],"that":[37,78],"do":[38],"not":[39],"transduce":[40],"the":[41,111,120,169,176],"class":[42,81],"all":[44],"graphs":[45,84],"finite":[48],"and":[51],"which":[55],"checking":[57,147],"first-order":[58,145],"logic":[59],"is":[60],"fixed-parameter":[61,128,143],"tractable":[62,144],"algorithmic":[65],"graph":[66],"theory.":[67],"This":[68,97],"has":[69,86,92],"several":[70],"consequences.":[71],"First,":[72],"it":[73,125,137,156,167],"allows":[74],"us":[75],"to":[76],"show":[77],"every":[79],"either":[85],"growth,":[90],"or":[91],"least":[94],"factorial":[95],"growth.":[96],"settles":[98,168],"question":[100],"first":[101],"asked":[102],"by":[103],"Balogh":[104],"et":[105],"al.":[106],"[":[107,172],"5":[108],"]":[109,174],"on":[110,133,148],"graphs,":[118],"generalizing":[119],"Stanley-Wilf":[121],"conjecture/Marcus-Tardos":[122],"theorem.":[123],"Second,":[124],"gives":[126],"approximation":[129],"algorithm":[130],"graphs.":[135,180],"Third,":[136],"yields":[138],"full":[140],"classification":[141],"binary":[153],"structures.":[154],"Fourth,":[155],"provides":[157],"model-theoretic":[159],"characterization":[160],"with":[163],"twin-width.":[165],"Finally,":[166],"small":[170],"conjecture":[171],"8":[173],"case":[177]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-16T09:24:06.705377","created_date":"2025-10-10T00:00:00"}