On super (a; D) - P2 B H- antimagic total labeling of disjoint union of comb product graphs

Abstract

A Super (a; d)-P2BH- antimagic total labeling of a graph G = CnBH with p = jV (G)j vertices and q = jE(G)j edges is a bijective function from the set fV (G) [ E(G)g onto the set f1; 2; 3; : : : jV (G)j + jE(G)jg, such that the total P2 B Hweights, wP2BH = P v2V (P2BH) (v) + P e2E(P2BH) (e), form an arithmetic sequence with the smallest label appears on the vertex. This paper discusses about super (a; d)-P2BH- antimagic total labeling of disjoint union of graph G = CnBH.