{"id":"https://openalex.org/W2229287010","doi":"https://doi.org/10.37236/5855","title":"Pathwidth and Nonrepetitive List Coloring","display_name":"Pathwidth and Nonrepetitive List Coloring","publication_year":2016,"publication_date":"2016-12-09","ids":{"openalex":"https://openalex.org/W2229287010","doi":"https://doi.org/10.37236/5855","mag":"2229287010"},"language":"en","primary_location":{"id":"doi:10.37236/5855","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5855","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/5855","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061227060","display_name":"Adam G\u0105gol","orcid":null},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Adam G\u0105gol","raw_affiliation_strings":["Jagiellonian University"],"affiliations":[{"raw_affiliation_string":"Jagiellonian University","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038947183","display_name":"Gwena\u00ebl Joret","orcid":"https://orcid.org/0000-0002-7157-6694"},"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":"Gwena\u00ebl Joret","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062623221","display_name":"Jakub Kozik","orcid":"https://orcid.org/0000-0002-1362-7780"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jakub Kozik","raw_affiliation_strings":["Jagiellonian University"],"affiliations":[{"raw_affiliation_string":"Jagiellonian University","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107964690","display_name":"Piotr Micek","orcid":"https://orcid.org/0000-0001-9796-5375"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Micek","raw_affiliation_strings":["Jagiellonian University"],"affiliations":[{"raw_affiliation_string":"Jagiellonian University","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061227060"],"corresponding_institution_ids":["https://openalex.org/I126596746"],"apc_list":null,"apc_paid":null,"fwci":1.4474,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82742891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"23","issue":"4","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":0.9995999932289124,"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/T10374","display_name":"Advanced Graph Theory Research","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/T12288","display_name":"Optimization and Search Problems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9943000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.759940505027771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7493878602981567},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6004260778427124},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5157471299171448},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.5073484778404236},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4953833818435669},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.49260932207107544},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48842209577560425},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.47130095958709717},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.07216289639472961},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.06747087836265564}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.759940505027771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7493878602981567},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6004260778427124},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5157471299171448},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.5073484778404236},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4953833818435669},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.49260932207107544},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48842209577560425},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.47130095958709717},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07216289639472961},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.06747087836265564},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.37236/5855","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5855","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1601.01886","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.01886","pdf_url":"https://arxiv.org/pdf/1601.01886","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2229287010","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1601.01886.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:ruj.uj.edu.pl:item/35076","is_oa":true,"landing_page_url":"http://ruj.uj.edu.pl/xmlui/handle/item/35076","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"is_oa":false,"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/242241","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/242241","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The electronic journal of combinatorics, 23 (4","raw_type":"info:ulb-repo/semantics/openurl/article"},{"id":"doi:10.48550/arxiv.1601.01886","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1601.01886","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.37236/5855","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5855","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W247964607","https://openalex.org/W1557522533","https://openalex.org/W1981002960","https://openalex.org/W1981075828","https://openalex.org/W1999574685","https://openalex.org/W2082905402","https://openalex.org/W2105469400","https://openalex.org/W2136175864","https://openalex.org/W2950188642","https://openalex.org/W2952886078","https://openalex.org/W3123973497"],"related_works":["https://openalex.org/W2002209708","https://openalex.org/W2964620984","https://openalex.org/W50813256","https://openalex.org/W2951061933","https://openalex.org/W1566398300","https://openalex.org/W3009339632","https://openalex.org/W3037436062","https://openalex.org/W1930391967","https://openalex.org/W2953170834","https://openalex.org/W3115176827","https://openalex.org/W2963686871","https://openalex.org/W2914898848","https://openalex.org/W2854461116","https://openalex.org/W2964200178","https://openalex.org/W2081099898","https://openalex.org/W2767152859","https://openalex.org/W3098298570","https://openalex.org/W3187953129","https://openalex.org/W1947433718","https://openalex.org/W2969015717"],"abstract_inverted_index":{"A":[0],"vertex":[1],"coloring":[2],"of":[3,23,40,64,96,109,130],"a":[4,37,76,102,120,128],"graph":[5,15],"is":[6,10,44,75,79,112,122],"nonrepetitive":[7],"if":[8],"there":[9,74],"no":[11],"path":[12],"in":[13],"the":[14,20,26,61,65,88,94],"whose":[16],"first":[17],"half":[18],"receives":[19],"same":[21],"sequence":[22],"colors":[24,41,43],"as":[25],"second":[27],"half.":[28],"While":[29],"every":[30,70,107],"tree":[31,77,108],"can":[32],"be":[33],"nonrepetitively":[34,81,113,136],"colored":[35],"with":[36],"bounded":[38],"number":[39],"(4":[42],"enough),":[45],"Fiorenzi,":[46],"Ochem,":[47],"Ossona":[48],"de":[49],"Mendez,":[50],"and":[51],"Zhu":[52],"recently":[53],"showed":[54],"that":[55,67,78,106,118,133],"this":[56,84],"does":[57],"not":[58,80,135],"extend":[59],"to":[60,124],"list":[62],"version":[63],"problem,":[66],"is,":[68],"for":[69,138],"$\\ell":[71],"\\geq":[72],"1$":[73],"$\\ell$-choosable.":[82],"In":[83],"paper":[85],"we":[86],"prove":[87],"following":[89],"positive":[90],"result,":[91],"which":[92],"complements":[93],"result":[95],"Fiorenzi":[97],"et":[98],"al.:":[99],"There":[100],"exists":[101],"function":[103],"$f$":[104],"such":[105,119],"pathwidth":[110],"$k$":[111],"$f(k)$-choosable.":[114],"We":[115],"also":[116],"show":[117],"property":[121],"specific":[123],"trees":[125],"by":[126],"constructing":[127],"family":[129],"pathwidth-2":[131],"graphs":[132],"are":[134],"$\\ell$-choosable":[137],"any":[139],"fixed":[140],"$\\ell$.":[141]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}