{"id":"https://openalex.org/W1580618632","doi":"https://doi.org/10.37236/2487","title":"List-Coloring Graphs on Surfaces with Varying List-Sizes","display_name":"List-Coloring Graphs on Surfaces with Varying List-Sizes","publication_year":2012,"publication_date":"2012-12-31","ids":{"openalex":"https://openalex.org/W1580618632","doi":"https://doi.org/10.37236/2487","mag":"1580618632"},"language":"en","primary_location":{"id":"doi:10.37236/2487","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2487","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i4p50/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/v19i4p50/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070963564","display_name":"Alice M. Dean","orcid":null},"institutions":[{"id":"https://openalex.org/I21104390","display_name":"Skidmore College","ror":"https://ror.org/04nzrzs08","country_code":"US","type":"education","lineage":["https://openalex.org/I21104390"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alice M. Dean","raw_affiliation_strings":["Skidmore College","Skidmore College;"],"affiliations":[{"raw_affiliation_string":"Skidmore College","institution_ids":["https://openalex.org/I21104390"]},{"raw_affiliation_string":"Skidmore College;","institution_ids":["https://openalex.org/I21104390"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110938202","display_name":"Joan P. Hutchinson","orcid":null},"institutions":[{"id":"https://openalex.org/I5444425","display_name":"Macalester College","ror":"https://ror.org/04fceqm38","country_code":"US","type":"education","lineage":["https://openalex.org/I5444425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joan P. Hutchinson","raw_affiliation_strings":["Macalester College"],"affiliations":[{"raw_affiliation_string":"Macalester College","institution_ids":["https://openalex.org/I5444425"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070963564"],"corresponding_institution_ids":["https://openalex.org/I21104390"],"apc_list":null,"apc_paid":null,"fwci":0.337,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57434971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"19","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":0.9955999851226807,"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":0.9955999851226807,"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":0.9524000287055969,"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":0.8873172998428345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8335663080215454},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.6090653538703918},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5371741652488708},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48328831791877747},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.45696160197257996},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.4380735158920288},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35644885897636414},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.15739619731903076},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.06867483258247375}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8873172998428345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8335663080215454},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.6090653538703918},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5371741652488708},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48328831791877747},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45696160197257996},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.4380735158920288},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35644885897636414},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.15739619731903076},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.06867483258247375},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/2487","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2487","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i4p50/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"}],"best_oa_location":{"id":"doi:10.37236/2487","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2487","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v19i4p50/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/W1580618632.pdf","grobid_xml":"https://content.openalex.org/works/W1580618632.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W345637930","https://openalex.org/W594463866","https://openalex.org/W1547065387","https://openalex.org/W1550666632","https://openalex.org/W1566398300","https://openalex.org/W1978313715","https://openalex.org/W1985316243","https://openalex.org/W1986798547","https://openalex.org/W2045237424","https://openalex.org/W2052014066","https://openalex.org/W2053974194","https://openalex.org/W2059526026","https://openalex.org/W2089023036","https://openalex.org/W2095023314","https://openalex.org/W2111781422","https://openalex.org/W2335170054","https://openalex.org/W3099384217","https://openalex.org/W3105851171","https://openalex.org/W4231994304","https://openalex.org/W4256091491","https://openalex.org/W6662149129","https://openalex.org/W6664037993"],"related_works":["https://openalex.org/W4297911588","https://openalex.org/W2908160930","https://openalex.org/W4311345810","https://openalex.org/W2793500002","https://openalex.org/W2546620014","https://openalex.org/W2889762113","https://openalex.org/W2585997002","https://openalex.org/W2008006594","https://openalex.org/W4291316360","https://openalex.org/W2212115383"],"abstract_inverted_index":{"Let":[0],"$G$":[1,36,68],"be":[2,20],"a":[3,7,21,65,92,95,102,106,113],"graph":[4,104,110],"embedded":[5],"on":[6,122],"surface":[8],"$S_\\varepsilon$":[9],"with":[10],"Euler":[11],"genus":[12],"$\\varepsilon":[13],"&gt;":[14],"0$,":[15],"and":[16,39,69,111,117],"let":[17],"$P\\subset":[18],"V(G)$":[19],"set":[22,96],"of":[23,35,42,61,67,74,88,94,97,108,115],"vertices":[24,34,41,100],"mutually":[25,98],"at":[26,28],"distance":[27,72],"least":[29],"4":[30,75],"apart.":[31],"Suppose":[32],"all":[33],"have":[37],"$H(\\varepsilon)$-lists":[38],"the":[40,53,59,71,109],"$P$":[43,62],"are":[44],"precolored,":[45],"where":[46],"$H(\\varepsilon)=\\Big\\lfloor\\frac{7":[47],"+":[48,50],"\\sqrt{24\\varepsilon":[49],"1}}{2}\\Big\\rfloor$":[51],"is":[52,76],"Heawood":[54],"number.":[55],"We":[56],"show":[57],"that":[58,70],"coloring":[60],"extends":[63],"to":[64,84,105,119],"list-coloring":[66,120],"bound":[73],"best":[77],"possible.":[78],"Our":[79],"result":[80,114],"provides":[81],"an":[82,85],"answer":[83],"analogous":[86],"question":[87],"Albertson":[89,116],"about":[90],"extending":[91],"precoloring":[93],"distant":[99],"in":[101],"planar":[103],"5-list-coloring":[107],"generalizes":[112],"Hutchinson":[118],"extensions":[121],"surfaces.":[123]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
