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:3
页码:310-318
DOI:10.1016/j.akcej.2018.09.001
语种:English
出版社:Elsevier
摘要:AbstractFor a simple graphG=(V,E)with the vertex setVand the edge setEand for an integerk,2≤k≤|E(G)|, an edge labelingφ:E(G)→{0,1,…,k−1}induces a vertex labelingφ∗:V(G)→{0,1,…,k−1}defined byφ∗(v)=φ(e1)⋅φ(e2)⋅…⋅φ(en)(modk), wheree1,e2,…,enare the edges incident to the vertexv. The functionφis called ak-total edge product cordial labeling ofGif|(eφ(i)+vφ∗(i))−(eφ(j)+vφ∗(j))|≤1for everyi,j,0≤i