{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T08:17:54Z","timestamp":1769156274880,"version":"3.49.0"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","funder":[{"name":"Zhejiang Provincial Natural Science Foundation of China","award":["LY18A010014"],"award-info":[{"award-number":["LY18A010014"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2020,8]]},"abstract":"<jats:p> The adjacent vertex distinguishing edge coloring of a graph [Formula: see text] is a proper edge coloring of [Formula: see text] such that the color sets of any pair of adjacent vertices are distinct. The minimum number of colors required for an adjacent vertex distinguishing edge coloring of [Formula: see text] is denoted by [Formula: see text]. It is observed that [Formula: see text] when [Formula: see text] contains two adjacent vertices of degree [Formula: see text]. In this paper, we prove that if [Formula: see text] is a planar graph without 3-cycles, then [Formula: see text]. Furthermore, we characterize the adjacent vertex distinguishing chromatic index for planar graphs of [Formula: see text] and without 3-cycles. This improves a result from [D. Huang, Z. Miao and W. Wang, Adjacent vertex distinguishing indices of planar graphs without 3-cycles, Discrete Math. 338 (2015) 139\u2013148] that established [Formula: see text] for planar graphs without 3-cycles. <\/jats:p>","DOI":"10.1142\/s1793830920500354","type":"journal-article","created":{"date-parts":[[2020,2,27]],"date-time":"2020-02-27T15:58:21Z","timestamp":1582819101000},"page":"2050035","source":"Crossref","is-referenced-by-count":3,"title":["Adjacent vertex distinguishing edge coloring of planar graphs without 3-cycles"],"prefix":"10.1142","volume":"12","author":[{"given":"Danjun","family":"Huang","sequence":"first","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China"}]},{"given":"Xiaoxiu","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China"}]},{"given":"Weifan","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, P. R. China"}]},{"given":"Stephen","family":"Finbow","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, Canada"}]}],"member":"219","published-online":{"date-parts":[[2020,7,14]]},"reference":[{"key":"S1793830920500354BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2004.12.027"},{"key":"S1793830920500354BIB002","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480102414107"},{"key":"S1793830920500354BIB003","doi-asserted-by":"publisher","DOI":"10.7151\/dmgt.1556"},{"key":"S1793830920500354BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.jctb.2005.04.002"},{"key":"S1793830920500354BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s10878-011-9444-9"},{"key":"S1793830920500354BIB006","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.21764"},{"key":"S1793830920500354BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2014.10.010"},{"key":"S1793830920500354BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2017.07.005"},{"key":"S1793830920500354BIB009","doi-asserted-by":"publisher","DOI":"10.1137\/120903178"},{"key":"S1793830920500354BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/s10878-008-9178-5"},{"key":"S1793830920500354BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2011.05.038"},{"key":"S1793830920500354BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/s10878-012-9569-5"},{"key":"S1793830920500354BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(02)80015-5"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830920500354","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,13]],"date-time":"2020-08-13T09:57:38Z","timestamp":1597312658000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830920500354"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,14]]},"references-count":13,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2020,8]]}},"alternative-id":["10.1142\/S1793830920500354"],"URL":"https:\/\/doi.org\/10.1142\/s1793830920500354","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,7,14]]}}}