{"id":"https://openalex.org/W2994501426","doi":"https://doi.org/10.1016/j.dam.2021.03.007","title":"On star edge colorings of bipartite and subcubic graphs","display_name":"On star edge colorings of bipartite and subcubic graphs","publication_year":2021,"publication_date":"2021-04-13","ids":{"openalex":"https://openalex.org/W2994501426","doi":"https://doi.org/10.1016/j.dam.2021.03.007","mag":"2994501426"},"language":"en","primary_location":{"id":"doi:10.1016/j.dam.2021.03.007","doi":"https://doi.org/10.1016/j.dam.2021.03.007","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.dam.2021.03.007","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-1","poland-70","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.dam.2021.03.007","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032321308","display_name":"Carl Johan Casselgren","orcid":"https://orcid.org/0000-0002-2741-468X","observed_orcids":["https://orcid.org/0000-0002-2741-468X"]},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Carl Johan Casselgren","raw_affiliation_strings":["Department of Mathematics, Link\u00f6ping University, SE-581 83 Link\u00f6ping, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-2741-468X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Link\u00f6ping University, SE-581 83 Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052163345","display_name":"Jonas B. Granholm","orcid":"https://orcid.org/0000-0002-1143-2496","observed_orcids":["https://orcid.org/0000-0002-1143-2496"]},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Jonas B. Granholm","raw_affiliation_strings":["Department of Mathematics, Link\u00f6ping University, SE-581 83 Link\u00f6ping, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-1143-2496","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Link\u00f6ping University, SE-581 83 Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014990290","display_name":"Andr\u00e9 Raspaud B","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210142254","display_name":"Laboratoire Bordelais de Recherche en Informatique","ror":"https://ror.org/03adqg323","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210159245","https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Raspaud","raw_affiliation_strings":["LaBRI, Bordeaux University, 350, cours de la Lib\u00e9ration, 33405 Talence cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LaBRI, Bordeaux University, 350, cours de la Lib\u00e9ration, 33405 Talence cedex, France","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210142254"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032321308"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":{"value":2590,"currency":"USD","value_usd":2590},"apc_paid":{"value":2590,"currency":"USD","value_usd":2590},"fwci":0.3693,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.48056587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":96},"biblio":{"volume":"298","issue":null,"first_page":"21","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9980000257492065,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9980000257492065,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.0013000000035390258,"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":0.0,"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/bipartite-graphs","display_name":"bipartite graphs","score":0.9879999756813049},{"id":"https://openalex.org/keywords/subcubic-graphs","display_name":"subcubic graphs","score":0.996999979019165},{"id":"https://openalex.org/keywords/complete-bipartite-graphs","display_name":"complete bipartite graphs","score":0.9660000205039978},{"id":"https://openalex.org/keywords/upper-bounds","display_name":"upper bounds","score":0.6119999885559082},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"graph coloring","score":0.5630000233650208}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9075000286102295},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8828999996185303},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.781000018119812},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6675000190734863},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.6503000259399414},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5212000012397766},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44679999351501465},{"id":"https://openalex.org/C51658606","wikidata":"https://www.wikidata.org/wiki/Q512897","display_name":"Brooks' theorem","level":5,"score":0.43650001287460327},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43619999289512634},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4178999960422516},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4147999882698059},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.3580000102519989},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.3569999933242798},{"id":"https://openalex.org/C103578098","wikidata":"https://www.wikidata.org/wiki/Q277680","display_name":"A* search algorithm","level":2,"score":0.3327000141143799},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.3287000060081482},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.32199999690055847},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.2888999879360199},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.27869999408721924},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.2766000032424927},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.2703999876976013},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.2687000036239624},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.2574000060558319}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.dam.2021.03.007","doi":"https://doi.org/10.1016/j.dam.2021.03.007","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.dam.2021.03.007","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-1","poland-70","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1912.02467","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.02467","pdf_url":"https://arxiv.org/pdf/1912.02467","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"pmh:oai:DiVA.org:liu-181790","doi":null,"is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-181790","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I86987016","host_organization_name":"KTH Royal Institute of Technology","host_organization_lineage":["https://openalex.org/I86987016"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1912.02467","doi":"https://doi.org/10.48550/arxiv.1912.02467","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1912.02467","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1016/j.dam.2021.03.007","doi":"https://doi.org/10.1016/j.dam.2021.03.007","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.dam.2021.03.007","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","ccf-c","cwts-core","dongbi-b","jufo-2","norway-1","poland-70","russia-white-list-3","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1692876670","display_name":"HOmomorphisms of SIgned GRAphs","funder_award_id":"ANR-17-CE40-0022","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6739665882","display_name":"Graph coloring with local constraints","funder_award_id":"2017-05077","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2994501426.pdf","grobid_xml":"https://content.openalex.org/works/W2994501426.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W38947130","https://openalex.org/W1957120579","https://openalex.org/W1972243058","https://openalex.org/W1993409199","https://openalex.org/W2061170661","https://openalex.org/W2085014006","https://openalex.org/W2145333029","https://openalex.org/W2154102540","https://openalex.org/W2156149469","https://openalex.org/W2335389215","https://openalex.org/W2741247181","https://openalex.org/W2754580731","https://openalex.org/W2783769507","https://openalex.org/W2791206387","https://openalex.org/W2796805380","https://openalex.org/W2802801011","https://openalex.org/W2890158719","https://openalex.org/W2922893498","https://openalex.org/W2963622109"],"related_works":["https://openalex.org/W7130334147","https://openalex.org/W3112791431","https://openalex.org/W2516317174","https://openalex.org/W3135126323","https://openalex.org/W2791206387","https://openalex.org/W4410121816","https://openalex.org/W7126179969","https://openalex.org/W2743486629","https://openalex.org/W2061451551","https://openalex.org/W2890158719"],"abstract_inverted_index":{"A":[0],"star":[1,22,38,50,112,144],"edge":[2,10,39],"coloring":[3,11,40],"of":[4,18,26,53,115],"a":[5,8,37],"graph":[6],"is":[7,28],"proper":[9],"with":[12,41],"no":[13],"2-colored":[14],"path":[15],"or":[16],"cycle":[17],"length":[19],"four.":[20],"The":[21],"chromatic":[23,51,113,145],"index":[24,52,114,146],"\u03c7st\u2032(G)":[25],"G":[27,35,56],"the":[29,49,71,111,131,137],"minimum":[30],"number":[31],"t":[32,42],"for":[33,48,130,156],"which":[34],"has":[36,74,121],"colors.":[43],"We":[44,101],"prove":[45,85,127],"upper":[46,97,128],"bounds":[47,98,129],"bipartite":[54,105],"graphs":[55,117,142],"where":[57],"all":[58,68],"vertices":[59,69],"in":[60,70,107,150],"one":[61,119],"part":[62,73,120],"have":[63,143],"maximum":[64,75],"degree":[65,76],"2":[66],"and":[67,91,126],"other":[72],"b.":[77],"Let":[78],"k":[79],"be":[80],"an":[81],"integer":[82],"(k\u22651);":[83],"we":[84,109,135,152],"that":[86,140],"if":[87,92],"b=2k+1,":[88],"then":[89,94],"\u03c7st\u2032(G)\u22643k+2;":[90],"b=2k,":[93],"\u03c7st\u2032(G)\u22643k;":[95],"both":[96],"are":[99],"sharp.":[100],"also":[102],"consider":[103,136],"complete":[104],"graphs;":[106],"particular":[108,151],"determine":[110],"such":[116],"when":[118],"size":[122],"at":[123,147],"most":[124,148],"3,":[125],"general":[132],"case.":[133],"Finally,":[134],"well-known":[138],"conjecture":[139,155],"subcubic":[141],"6;":[149],"settle":[153],"this":[154],"cubic":[157],"Halin":[158],"graphs.":[159]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2019-12-13T00:00:00"}