{"id":"https://openalex.org/W2148122311","doi":"https://doi.org/10.1142/s1793830909000233","title":"ON (3, 1)*-CHOOSABILITY OF TOROIDAL GRAPHS","display_name":"ON (3, 1)*-CHOOSABILITY OF TOROIDAL GRAPHS","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2148122311","doi":"https://doi.org/10.1142/s1793830909000233","mag":"2148122311"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830909000233","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830909000233","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/A5070605818","display_name":"Wei Dong","orcid":"https://orcid.org/0000-0001-7692-0872"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]},{"id":"https://openalex.org/I4210128418","display_name":"Nanjing Xiaozhuang University","ror":"https://ror.org/03fnv7n42","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210128418"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"WEI DONG","raw_affiliation_strings":["Department of Mathematics, Nanjing Xiaozhuang College, Nanjing, 210017, P. R. China","School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, 210097, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing Xiaozhuang College, Nanjing, 210017, P. R. China","institution_ids":["https://openalex.org/I4210128418"]},{"raw_affiliation_string":"School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, 210097, P. R. China","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005438969","display_name":"Baogang Xu","orcid":"https://orcid.org/0000-0003-0435-6103"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"BAOGANG XU","raw_affiliation_strings":["School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, 210097, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, 210097, P. R. China","institution_ids":["https://openalex.org/I152031979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070605818"],"corresponding_institution_ids":["https://openalex.org/I152031979","https://openalex.org/I4210128418"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.17504836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"01","issue":"02","first_page":"291","last_page":"297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13991","display_name":"Nuclear Receptors and Signaling","score":0.599399983882904,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13991","display_name":"Nuclear Receptors and Signaling","score":0.599399983882904,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.5932000279426575,"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":0.5752000212669373,"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/combinatorics","display_name":"Combinatorics","score":0.8588001728057861},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6900815963745117},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.6586272120475769},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6157686114311218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5719188451766968},{"id":"https://openalex.org/keywords/toroid","display_name":"Toroid","score":0.5685569047927856},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.5299609303474426},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.45663267374038696},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.4467848539352417},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3706326484680176},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.23456501960754395},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22651532292366028},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10328829288482666}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8588001728057861},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6900815963745117},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.6586272120475769},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6157686114311218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5719188451766968},{"id":"https://openalex.org/C15001198","wikidata":"https://www.wikidata.org/wiki/Q3241394","display_name":"Toroid","level":3,"score":0.5685569047927856},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.5299609303474426},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.45663267374038696},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.4467848539352417},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3706326484680176},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.23456501960754395},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22651532292366028},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10328829288482666},{"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/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830909000233","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830909000233","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":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W345637930","https://openalex.org/W1484040084","https://openalex.org/W1967561636","https://openalex.org/W2017043109","https://openalex.org/W2045528288","https://openalex.org/W2060875848","https://openalex.org/W2065461360","https://openalex.org/W2083796113","https://openalex.org/W2120784503","https://openalex.org/W2145878357","https://openalex.org/W2308739582"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4291316360","https://openalex.org/W2585997002","https://openalex.org/W3169197204","https://openalex.org/W4297911588","https://openalex.org/W2380525562","https://openalex.org/W4229747356","https://openalex.org/W398688634","https://openalex.org/W2385428710","https://openalex.org/W2046652778"],"abstract_inverted_index":{"A":[0,69],"list-assignment":[1,27],"L":[2,28,84],"to":[3,17,52],"the":[4],"vertices":[5],"of":[6,11,15,37,64],"G":[7,40,75],"is":[8,41,71,98,119],"an":[9,34,77],"assignment":[10,83],"a":[12,26,38,42,47],"set":[13],"L(v)":[14,51],"colors":[16],"vertex":[18,54],"v":[19,22,55,65,91],"for":[20,80,89,110],"every":[21,81,101],"\u2208":[23,50,56,92],"V(G).":[24,93],"Given":[25],"and":[29],"integer":[30],"d":[31,62],"\u2265":[32,87],"0,":[33],"(L,":[35,78],"d)*-coloring":[36,79],"graph":[39,70],"mapping":[43],"\u03d5":[44],"that":[45,59,100],"assigns":[46],"color":[48,67],"\u03d5(v)":[49],"each":[53],"V(G)":[57],"such":[58],"at":[60],"most":[61],"neighbors":[63],"receive":[66],"\u03d5(v).":[68],"called":[72],"(k,d)*-choosable,":[73],"if":[74],"admits":[76],"list":[82],"with":[85],"|L(v)|":[86],"k":[88],"all":[90],"In":[94],"this":[95],"note,":[96],"it":[97],"proved":[99],"toroidal":[102],"graph,":[103],"which":[104],"contains":[105],"neither":[106],"i-cycles":[107],"nor":[108],"j-cycles":[109],"any":[111],"subset":[112],"{i,":[113],"j}":[114],"\u2286":[115],"{3,":[116],"4,":[117],"6},":[118],"(3,":[120],"1)*-choosable.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}