{"id":"https://openalex.org/W3006791922","doi":"https://doi.org/10.1142/s1793830920500354","title":"Adjacent vertex distinguishing edge coloring of planar graphs without 3-cycles","display_name":"Adjacent vertex distinguishing edge coloring of planar graphs without 3-cycles","publication_year":2020,"publication_date":"2020-02-27","ids":{"openalex":"https://openalex.org/W3006791922","doi":"https://doi.org/10.1142/s1793830920500354","mag":"3006791922"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500354","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500354","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/A5033290014","display_name":"Danjun Huang","orcid":"https://orcid.org/0000-0003-1179-1883"},"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":false,"raw_author_name":"Danjun Huang","raw_affiliation_strings":["Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009900185","display_name":"Xiaoxiu Zhang","orcid":null},"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":"Xiaoxiu Zhang","raw_affiliation_strings":["Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101959199","display_name":"Weifan Wang","orcid":"https://orcid.org/0000-0001-8518-6630"},"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":false,"raw_author_name":"Weifan Wang","raw_affiliation_strings":["Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087436773","display_name":"Stephen Finbow","orcid":"https://orcid.org/0000-0001-7984-0245"},"institutions":[{"id":"https://openalex.org/I197191942","display_name":"St. Francis Xavier University","ror":"https://ror.org/01wcaxs37","country_code":"CA","type":"education","lineage":["https://openalex.org/I197191942"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Stephen Finbow","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, Canada","institution_ids":["https://openalex.org/I197191942"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5009900185"],"corresponding_institution_ids":["https://openalex.org/I135237710"],"apc_list":null,"apc_paid":null,"fwci":0.4222,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66333161,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"12","issue":"04","first_page":"2050035","last_page":"2050035"},"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"}},{"id":"https://openalex.org/T11708","display_name":"Photochromic and Fluorescence Chemistry","score":0.9656999707221985,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8458912372589111},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6733806729316711},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6694642305374146},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6531625390052795},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.6133792400360107},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4534700810909271},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34521952271461487},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12428426742553711},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.12014603614807129}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8458912372589111},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6733806729316711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6694642305374146},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6531625390052795},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.6133792400360107},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4534700810909271},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34521952271461487},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12428426742553711},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.12014603614807129}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500354","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500354","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1515432055","https://openalex.org/W1994339797","https://openalex.org/W2011298123","https://openalex.org/W2034742295","https://openalex.org/W2046587597","https://openalex.org/W2055120783","https://openalex.org/W2056792956","https://openalex.org/W2080071328","https://openalex.org/W2086863920","https://openalex.org/W2094198882","https://openalex.org/W2156842373","https://openalex.org/W2257828626","https://openalex.org/W2739740560"],"related_works":["https://openalex.org/W3101621653","https://openalex.org/W2950907541","https://openalex.org/W2054273854","https://openalex.org/W3148277336","https://openalex.org/W1606013690","https://openalex.org/W2358631581","https://openalex.org/W1993627687","https://openalex.org/W4301046126","https://openalex.org/W4293743430","https://openalex.org/W969137341"],"abstract_inverted_index":{"The":[0,34],"adjacent":[1,30,42,70,101],"vertex":[2,43,102,129],"distinguishing":[3,44,103,130],"edge":[4,15,45],"coloring":[5,16,46],"of":[6,17,26,29,37,47,72,109,132],"a":[7,13,88,118],"graph":[8,90],"[Formula:":[9,18,48,54,61,65,74,84,94,110,144],"see":[10,19,49,55,62,66,75,85,95,111,145],"text]":[11,20,50,63,67,86,112,146],"is":[12,51,58,87],"proper":[14],"such":[21],"that":[22,60,82,142],"the":[23,100],"color":[24],"sets":[25],"any":[27],"pair":[28],"vertices":[31,71],"are":[32],"distinct.":[33],"minimum":[35],"number":[36],"colors":[38],"required":[39],"for":[40,106,147],"an":[41],"denoted":[52],"by":[53],"text].":[56,76,96],"It":[57],"observed":[59],"when":[64],"contains":[68],"two":[69],"degree":[73],"In":[77],"this":[78],"paper,":[79],"we":[80,98],"prove":[81],"if":[83],"planar":[89,107,133,148],"without":[91,114,135,150],"3-cycles,":[92,136],"then":[93],"Furthermore,":[97],"characterize":[99],"chromatic":[104],"index":[105],"graphs":[108,134,149],"and":[113,125],"3-cycles.":[115,151],"This":[116],"improves":[117],"result":[119],"from":[120],"[D.":[121],"Huang,":[122],"Z.":[123],"Miao":[124],"W.":[126],"Wang,":[127],"Adjacent":[128],"indices":[131],"Discrete":[137],"Math.":[138],"338":[139],"(2015)":[140],"139\u2013148]":[141],"established":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}