Mod(k) Vertex Magic Labeling in Generalized 2-complement of some Graphs- Paper II

Abstract

A (p,q) graph G with the p vertices and q edges is Mod(k) vertex magic for any integer k≥2,l????Zk and there exists a injective map f from V(G) to { ???? 2 , ???? 2 + l, ???? 2 +l+1,... ???? 2 +k(p-1)} such that for any edge e, and the sum of the labels of vertices adjacent with the e are all equal to the same constant modulo k. In this paper, we prove that Generalized 2-complement some graphs namely S(K1,n), Spl (Cn) are Mod(k) vertex magic graphs.