{"id":"https://openalex.org/W1968821571","doi":"https://doi.org/10.1109/fskd.2010.5569453","title":"One upper bound on the D(3)-vertex-distinguishing edge- chromatic numbers of graphs","display_name":"One upper bound on the D(3)-vertex-distinguishing edge- chromatic numbers of graphs","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W1968821571","doi":"https://doi.org/10.1109/fskd.2010.5569453","mag":"1968821571"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2010.5569453","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2010.5569453","pdf_url":null,"source":{"id":"https://openalex.org/S4363608217","display_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-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/A5103666026","display_name":"Tian Jing-jing","orcid":null},"institutions":[{"id":"https://openalex.org/I187175081","display_name":"Shaanxi University of Technology","ror":"https://ror.org/056m91h77","country_code":"CN","type":"education","lineage":["https://openalex.org/I187175081"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing-jing Tian","raw_affiliation_strings":["Department of Mathematics, Shaanxi University of Technology, Hanzhong, China","Shaanxi University of Technology, Department of Mathematics, Hanzhong, China 723000"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shaanxi University of Technology, Hanzhong, China","institution_ids":["https://openalex.org/I187175081"]},{"raw_affiliation_string":"Shaanxi University of Technology, Department of Mathematics, Hanzhong, China 723000","institution_ids":["https://openalex.org/I187175081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080803097","display_name":"Deng Fang-an","orcid":null},"institutions":[{"id":"https://openalex.org/I187175081","display_name":"Shaanxi University of Technology","ror":"https://ror.org/056m91h77","country_code":"CN","type":"education","lineage":["https://openalex.org/I187175081"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang-an Deng","raw_affiliation_strings":["Department of Mathematics, Shaanxi University of Technology, Hanzhong, China","Shaanxi University of Technology, Department of Mathematics, Hanzhong, China 723000"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shaanxi University of Technology, Hanzhong, China","institution_ids":["https://openalex.org/I187175081"]},{"raw_affiliation_string":"Shaanxi University of Technology, Department of Mathematics, Hanzhong, China 723000","institution_ids":["https://openalex.org/I187175081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103666026"],"corresponding_institution_ids":["https://openalex.org/I187175081"],"apc_list":null,"apc_paid":null,"fwci":1.0408,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7486911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":null,"first_page":"1905","last_page":"1907"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.7594359517097473},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7426986694335938},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5234365463256836},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5195212960243225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37552082538604736},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36657845973968506},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.053487628698349}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7594359517097473},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7426986694335938},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5234365463256836},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5195212960243225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37552082538604736},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36657845973968506},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.053487628698349}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2010.5569453","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2010.5569453","pdf_url":null,"source":{"id":"https://openalex.org/S4363608217","display_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-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":12,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1975562155","https://openalex.org/W1984697505","https://openalex.org/W2009043562","https://openalex.org/W2025895663","https://openalex.org/W2047826478","https://openalex.org/W2063244654","https://openalex.org/W2068871408","https://openalex.org/W2080071328","https://openalex.org/W2085672062","https://openalex.org/W4248906376","https://openalex.org/W4255486464"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W2090715877","https://openalex.org/W3111310291"],"abstract_inverted_index":{"Let":[0,33],"G(V,E)":[1],"be":[2,12,35,106],"a":[3,25],"connected":[4],"graph":[5,72],"with":[6,56],"order":[7],"\u2265":[8,151],"3,":[9],"\u03b1":[10],"\u03b2":[11],"positive":[13],"integers,":[14],"suppose":[15],"mapping":[16],"from":[17],"E(G)":[18],"to":[19,45],"{1,":[20],"2,":[21],"...,":[22],"\u03b1}":[23],"is":[24,65,93],"proper":[26,69],"edge":[27],"coloring":[28],"\u2200x":[29],"\u2208":[30,53],"V":[31,54],"(G).":[32],"S(x)":[34],"the":[36,41,79,95,107,114,118],"set":[37],"of":[38,40,71,76,99,110],"colors":[39],"all":[42],"edges":[43],"incident":[44],"x,":[46],"S(u)":[47],"\u2260":[48],"S(v)":[49],"whenever":[50],"u,":[51],"v":[52],"(G)":[55],"1":[57],"\u2264":[58,61],"d(u,":[59],"v)":[60],"\u03b2,":[62],"then":[63],"f":[64],"called":[66,94],"an":[67,74,91],"\u03b1-D(\u03b2)-vertex-distinguishing":[68],"edge-coloring":[70],"G(Shortly,":[73],"\u03b1-D(\u03b2)-VDPEC":[75],"G)":[77],"and":[78,125],"number":[80,98,121],"\u03c7":[81,128],"<sub":[82,129],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[83,130,135,139,143,147],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03b2-vd</sub>":[84],"'(G)":[85],"=":[86],"min{\u03b1":[87],"|":[88],"G":[89],"has":[90],"\u03b1-D(\u03b2)-VDPEC}":[92],"D(\u03b2)-vertex-distinguishing":[96],"edge-chromatic":[97,120],"G.":[100],"In":[101],"this":[102],"paper,":[103],"let":[104],"d":[105,150],"maximum":[108],"degree":[109],"G,":[111],"we":[112],"study":[113],"upper":[115],"bound":[116],"for":[117],"D(3)-vertex-distinguishing":[119],"by":[122],"probability":[123],"method":[124],"prove":[126],"that":[127],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3-vd</sub>":[131],"'(G)\u2264":[132],"4(2d":[133],"<sup":[134,138,142,146],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">5</sup>":[136],"-d":[137],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</sup>":[140],"+8d":[141],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[144],"-9d":[145],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[148],"+6d-1/d-1),":[149],"2.":[152]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
