A Study on Power - 3 on k - Heronian Odd Mean Labeling Graphs

Abstract

A function say \(\omega\) : \(\mathit{V}\) (\(\mathit{G}\) ) \(\to\) { \(\mathit{k }\) + 0,\(\mathit{k }\) + 2,\(\mathit{k }\) + 4,...,\(\mathit{k }\) + 2\(\mathit{l}\) - 2 } is a Power - 3 on k - Heronian odd mean graph labeling for an undirected network G = (V, E) through l points and m lines, respectively. Power - 3 on k - Heronian odd mean labeling graph is a graph that has Power - 3 on k - Heronian odd mean labeling. We have analyzed Power - 3 on k - Heronian odd mean labeling of some common graph such as linear graph, Comb, Caterpillar, Triangular Snake, Quadrilateral Snake and Ladder.