{"id":"https://openalex.org/W2097592506","doi":"https://doi.org/10.37236/124","title":"Clique-Width and the Speed of Hereditary Properties","display_name":"Clique-Width and the Speed of Hereditary Properties","publication_year":2009,"publication_date":"2009-03-13","ids":{"openalex":"https://openalex.org/W2097592506","doi":"https://doi.org/10.37236/124","mag":"2097592506"},"language":"en","primary_location":{"id":"doi:10.37236/124","is_oa":true,"landing_page_url":"https://doi.org/10.37236/124","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r35/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r35/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048280753","display_name":"Peter Allen","orcid":"https://orcid.org/0000-0002-9690-1545"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Peter Allen","raw_affiliation_strings":["DIMAP and Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK","University of Warwick"],"affiliations":[{"raw_affiliation_string":"DIMAP and Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"University of Warwick","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081581015","display_name":"Vadim Lozin","orcid":"https://orcid.org/0000-0003-2464-7389"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Vadim Lozin","raw_affiliation_strings":["DIMAP and Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK","University of Warwick"],"affiliations":[{"raw_affiliation_string":"DIMAP and Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"University of Warwick","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102487549","display_name":"Micha\u00ebl Rao","orcid":null},"institutions":[{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4412460525"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Micha\u00ebl Rao","raw_affiliation_strings":["LIRMM, Montpellier, France","Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier"],"affiliations":[{"raw_affiliation_string":"LIRMM, Montpellier, France","institution_ids":["https://openalex.org/I4210101743"]},{"raw_affiliation_string":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","institution_ids":["https://openalex.org/I4210101743"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048280753"],"corresponding_institution_ids":["https://openalex.org/I39555362"],"apc_list":null,"apc_paid":null,"fwci":1.7675,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.84872465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"16","issue":"1","first_page":null,"last_page":null},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9990000128746033,"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/mathematics","display_name":"Mathematics","score":0.8396414518356323},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.814403772354126},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7643266916275024},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6458184719085693},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.5192708969116211},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.44735750555992126},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44075390696525574},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4235290586948395},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.18968328833580017},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07509082555770874},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.058960527181625366}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8396414518356323},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.814403772354126},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7643266916275024},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6458184719085693},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.5192708969116211},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.44735750555992126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44075390696525574},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4235290586948395},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.18968328833580017},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07509082555770874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.058960527181625366},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/124","is_oa":true,"landing_page_url":"https://doi.org/10.37236/124","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r35/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:researchonline.lse.ac.uk:44100","is_oa":false,"landing_page_url":"https://orcid.org/0000-0001-6555-3501>,","pdf_url":null,"source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.4554","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.4554","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_16/PDF/v16i1r35.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:lirmm-00808010v1","is_oa":false,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-00808010","pdf_url":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Electronic Journal of Combinatorics, 2009, 16 (1), pp.11. &#x27E8;10.37236/124&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:eprints.lse.ac.uk:44100","is_oa":false,"landing_page_url":"http://www.combinatorics.org/ojs/index.php/eljc/index","pdf_url":null,"source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":{"id":"doi:10.37236/124","is_oa":true,"landing_page_url":"https://doi.org/10.37236/124","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r35/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2097592506.pdf","grobid_xml":"https://content.openalex.org/works/W2097592506.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1505308503","https://openalex.org/W1510730180","https://openalex.org/W1552744309","https://openalex.org/W1822562651","https://openalex.org/W1976120600","https://openalex.org/W1994331970","https://openalex.org/W1997003521","https://openalex.org/W1998456137","https://openalex.org/W2014914226","https://openalex.org/W2022499468","https://openalex.org/W2026563873","https://openalex.org/W2053991811","https://openalex.org/W2060352617","https://openalex.org/W2081735788","https://openalex.org/W2087806988","https://openalex.org/W2097725094","https://openalex.org/W2125792811","https://openalex.org/W2142101067","https://openalex.org/W4248950742"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W2393848756","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W1673581201","https://openalex.org/W2991991550","https://openalex.org/W2984191194"],"abstract_inverted_index":{"In":[0],"this":[1,35],"paper,":[2],"we":[3,105],"study":[4],"the":[5,8,22,25,32,41,54,65,70,75,85,121],"relationship":[6],"between":[7,87],"number":[9,72],"of":[10,24,31,43,56,99,109,111],"$n$-vertex":[11],"graphs":[12,57,110],"in":[13,34,58,84],"a":[14,80],"hereditary":[15],"class":[16,26],"$\\cal":[17,27,44,59],"X$,":[18,28],"also":[19],"known":[20],"as":[21],"speed":[23,42,66,117],"and":[29,101],"boundedness":[30],"clique-width":[33,55,76,113,122],"class.":[36],"We":[37],"show":[38,106],"that":[39,107],"if":[40,64],"X$":[45,60],"is":[46,61,77,91,123],"faster":[47],"than":[48,118],"$n!c^n$":[49],"for":[50],"any":[51],"$c$,":[52],"then":[53,74],"unbounded,":[62],"while":[63],"does":[67],"not":[68],"exceed":[69],"Bell":[71],"$B_n$,":[73],"bounded":[78,100],"by":[79],"constant.":[81],"The":[82],"situation":[83],"range":[86],"these":[88],"two":[89],"extremes":[90],"more":[92],"complicated.":[93],"This":[94],"area":[95],"contains":[96],"both":[97],"classes":[98,108,119],"unbounded":[102,112],"clique-width.":[103],"Moreover,":[104],"may":[114],"have":[115],"slower":[116],"where":[120],"bounded.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
