{"id":"https://openalex.org/W1979709911","doi":"https://doi.org/10.1142/s1793830914500232","title":"PLANE GRAPHS ARE ENTIRELY (\u0394 + 5)-CHOOSABLE","display_name":"PLANE GRAPHS ARE ENTIRELY (\u0394 + 5)-CHOOSABLE","publication_year":2014,"publication_date":"2014-01-23","ids":{"openalex":"https://openalex.org/W1979709911","doi":"https://doi.org/10.1142/s1793830914500232","mag":"1979709911"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830914500232","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500232","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016166995","display_name":"Xiaoxue Hu","orcid":"https://orcid.org/0000-0001-7848-6870"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"XIAOXUE HU","raw_affiliation_strings":["Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115603095","display_name":"Yiqiao Wang","orcid":"https://orcid.org/0000-0002-5322-1312"},"institutions":[{"id":"https://openalex.org/I17747738","display_name":"Beijing University of Chinese Medicine","ror":"https://ror.org/05damtm70","country_code":"CN","type":"education","lineage":["https://openalex.org/I17747738"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YIQIAO WANG","raw_affiliation_strings":["School of Management, Beijing University of Chinese Medicine, Beijing 100029, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Management, Beijing University of Chinese Medicine, Beijing 100029, P. R. China","institution_ids":["https://openalex.org/I17747738"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016166995"],"corresponding_institution_ids":["https://openalex.org/I135237710"],"apc_list":null,"apc_paid":null,"fwci":0.7122,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.698696,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"06","issue":"02","first_page":"1450023","last_page":"1450023"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T10374","display_name":"Advanced Graph Theory Research","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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9951000213623047,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9821000099182129,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6954703330993652},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6297348141670227},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5004210472106934},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49872827529907227},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.47567787766456604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45477530360221863},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.422794371843338},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34224215149879456},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21793770790100098},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.13715845346450806},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.07748749852180481}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6954703330993652},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6297348141670227},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5004210472106934},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49872827529907227},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.47567787766456604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45477530360221863},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.422794371843338},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34224215149879456},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21793770790100098},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.13715845346450806},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07748749852180481}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830914500232","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830914500232","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1990866954","https://openalex.org/W2030014657","https://openalex.org/W2030158164","https://openalex.org/W2050917159","https://openalex.org/W2054908111","https://openalex.org/W4239670752","https://openalex.org/W4240225219","https://openalex.org/W4247370267"],"related_works":["https://openalex.org/W2980093071","https://openalex.org/W4206287059","https://openalex.org/W2967363730","https://openalex.org/W1606013690","https://openalex.org/W4293743430","https://openalex.org/W2002209708","https://openalex.org/W1941702003","https://openalex.org/W4233187590","https://openalex.org/W1982166626","https://openalex.org/W3006156235"],"abstract_inverted_index":{"A":[0],"plane":[1,62],"graph":[2,63],"G":[3,64],"is":[4,71],"entirely":[5,72],"k-choosable":[6],"if,":[7],"for":[8,18],"every":[9,61],"list":[10,44],"L":[11],"of":[12],"colors":[13],"satisfying":[14],"L(x)":[15],"=":[16],"k":[17],"x":[19],"\u2208":[20],"V(G)":[21],"\u222a":[22,24],"E(G)":[23],"F(G),":[25],"there":[26],"exists":[27],"a":[28,40],"coloring":[29],"which":[30],"assigns":[31],"to":[32],"each":[33,35,38],"vertex,":[34],"edge":[36],"and":[37],"face":[39],"color":[41],"from":[42],"its":[43],"so":[45],"that":[46,60],"any":[47],"adjacent":[48],"or":[49],"incident":[50],"elements":[51],"receive":[52],"different":[53],"colors.":[54],"In":[55],"this":[56],"paper,":[57],"we":[58],"show":[59],"with":[65],"maximum":[66],"degree":[67],"\u0394":[68],"\u2264":[69],"5":[70],"(\u0394":[73],"+":[74],"5)-choosable.":[75]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
