期刊名称:AKCE International Journal of Graphs and Combinatorics
印刷版ISSN:0972-8600
出版年度:2019
卷号:16
期号:2
页码:213-221
DOI:10.1016/j.akcej.2017.12.002
语种:English
出版社:Elsevier
摘要:AbstractFor a simple graphG=(V(G),E(G)), this paper deals with the existence of an edge labelingχ:E(G)→{0,1,…,k−1},2≤k≤|E(G)|, which induces a vertex labelingχ∗:V(G)→{0,1,…,k−1}in such a way that for each vertexv, assigns the labelχ(e1)⋅χ(e2)⋅⋯⋅χ(en)((modk)),wheree1,e2,…,enare the edges incident to the vertexv. The labelingχis called ak-total edge product cordial labeling ofGif|(eχ(i)+vχ∗(i))−(eχ(j)+vχ∗(j))|≤1for everyi,j,0≤i