期刊名称:AKCE International Journal of Graphs and Combinatorics
印刷版ISSN:0972-8600
出版年度:2018
卷号:15
期号:1
页码:1-6
DOI:10.1016/j.akcej.2018.02.004
语种:English
出版社:Elsevier
摘要:AbstractA graphG=(V,E), where|V|=nand|E|=mis said to be adistance magic graphif there exists a bijection from the vertex setVto the set{1,2,…,n}such that,∑v∈N(u)f(v)=k, for allu∈V, which is a constant and independent ofu, whereN(u)is the open neighborhood of the vertexu. The constantkis called the distance magic constant of the graphGand such a labelingfis called distance magic labeling ofG. In this paper, we present new results on distance magic labeling ofCnrand neighborhood expansionDn(G)of a graphG.