{"id":"https://openalex.org/W3034241710","doi":"https://doi.org/10.37236/9667","title":"Another Approach to Non-Repetitive Colorings of Graphs of Bounded Degree","display_name":"Another Approach to Non-Repetitive Colorings of Graphs of Bounded Degree","publication_year":2020,"publication_date":"2020-09-04","ids":{"openalex":"https://openalex.org/W3034241710","doi":"https://doi.org/10.37236/9667","mag":"3034241710"},"language":"en","primary_location":{"id":"doi:10.37236/9667","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9667","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i3p43/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":"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://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i3p43/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038414386","display_name":"Matthieu Rosenfeld","orcid":"https://orcid.org/0000-0001-5467-5407"},"institutions":[{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Matthieu Rosenfeld","raw_affiliation_strings":["Aix-Marseille Universit\u00e9e"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aix-Marseille Universit\u00e9e","institution_ids":["https://openalex.org/I21491767"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038414386"],"corresponding_institution_ids":["https://openalex.org/I21491767"],"apc_list":null,"apc_paid":null,"fwci":0.583,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73174228,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"27","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9983999729156494,"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/T11567","display_name":"semigroups and automata theory","score":0.9983999729156494,"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":0.9973999857902527,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9958999752998352,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.8314120769500732},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7859224677085876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6638826131820679},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6231359243392944},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6213463544845581},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5015788078308105},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4920758605003357},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4466516971588135},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4446139931678772},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.44422852993011475},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09200799465179443},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06397765874862671}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.8314120769500732},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7859224677085876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6638826131820679},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6231359243392944},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6213463544845581},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5015788078308105},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4920758605003357},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4466516971588135},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4446139931678772},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.44422852993011475},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09200799465179443},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06397765874862671},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/9667","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9667","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i3p43/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":"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:2006.09094","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.09094","pdf_url":"https://arxiv.org/pdf/2006.09094","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":"","raw_type":"text"},{"id":"mag:3034241710","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2006.09094.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:HAL:hal-03583287v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03583287","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, 2020, 27 (3), ⟨10.37236/9667⟩","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.2006.09094","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2006.09094","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"}],"best_oa_location":{"id":"doi:10.37236/9667","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9667","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i3p43/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":"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":[{"id":"https://openalex.org/G948027613","display_name":null,"funder_award_id":"ANR-16-CE40-0005","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"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/W3034241710.pdf","grobid_xml":"https://content.openalex.org/works/W3034241710.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1557522533","https://openalex.org/W1634002241","https://openalex.org/W1937342691","https://openalex.org/W1972748334","https://openalex.org/W1982787058","https://openalex.org/W1997528646","https://openalex.org/W2065093446","https://openalex.org/W2066616484","https://openalex.org/W2109693504","https://openalex.org/W2126605343","https://openalex.org/W2136175864","https://openalex.org/W2150947704","https://openalex.org/W2159509242","https://openalex.org/W2345918188","https://openalex.org/W2939652507","https://openalex.org/W2963868414","https://openalex.org/W2997039219","https://openalex.org/W3103615163","https://openalex.org/W3123973497","https://openalex.org/W6671595283","https://openalex.org/W6679042981","https://openalex.org/W6789320073"],"related_works":["https://openalex.org/W3083052155","https://openalex.org/W2531379207","https://openalex.org/W2004159513","https://openalex.org/W2551743513","https://openalex.org/W92615031","https://openalex.org/W3082420908","https://openalex.org/W2975155872","https://openalex.org/W2944466192","https://openalex.org/W3158958986","https://openalex.org/W2098207812","https://openalex.org/W1540038024","https://openalex.org/W2095142977","https://openalex.org/W1756443917","https://openalex.org/W2104886711","https://openalex.org/W1971116373","https://openalex.org/W2793361842","https://openalex.org/W2907858953","https://openalex.org/W2953191928","https://openalex.org/W2074090249","https://openalex.org/W2951164807"],"abstract_inverted_index":{"We":[0,21],"propose":[1],"a":[2,48,102,113,125],"new":[3],"proof":[4],"technique":[5],"that":[6,52],"applies":[7],"to":[8,35,43,70],"the":[9,13,18,26,44,60,77,106,109,118,131,142,146,154],"same":[10,143],"problems":[11],"as":[12,72,74],"Lov\u00e1sz":[14],"Local":[15],"Lemma":[16],"or":[17],"entropy-compression":[19],"method.":[20],"present":[22],"this":[23,89],"approach":[24,68],"in":[25,88],"context":[27],"of":[28,47,59,65,96,108,136,150],"non-repetitive":[29,40,110,121,133,147],"colorings":[30],"and":[31,82,124],"we":[32,86],"use":[33],"it":[34],"improve":[36],"upper-bounds":[37,66],"relating":[38],"different":[39],"chromatic":[41,111,122,134,148],"numbers":[42],"maximal":[45,97],"degree":[46,98],"graph.":[49],"It":[50],"seems":[51,69],"there":[53],"should":[54],"be":[55,71],"other":[56],"interesting":[57],"applications":[58,85],"presented":[61],"approach.":[62],"In":[63],"terms":[64],"our":[67],"strong":[73],"entropy-compression,":[75],"but":[76],"proofs":[78],"are":[79,91],"more":[80],"elementary":[81],"shorter.":[83],"The":[84],"provide":[87],"paper":[90],"upper":[92],"bounds":[93],"for":[94,145],"graphs":[95],"at":[99],"most":[100],"$\\Delta$:":[101],"minor":[103],"improvement":[104],"on":[105,117,130],"upper-bound":[107,116,129,144],"number,":[112,123],"$4.25\\Delta":[114],"+o(\\Delta)$":[115],"weak":[119],"total":[120,132],"$":[126],"\\Delta^2+\\frac{3}{2^{1/3}}\\Delta^{5/3}+":[127],"o(\\Delta^{5/3})$":[128],"number":[135],"graphs.":[137],"This":[138],"last":[139],"result":[140],"implies":[141],"index":[149],"graphs,":[151],"which":[152],"improves":[153],"best":[155],"known":[156],"bound.":[157]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}