Contra Harmonic Mean Labeling for Some Tree and Corona Related Graphs

Abstract

Abstract

A graph G (V,E) is called a Contra Harmonic mean graph with p vertices and q edges, if it is possible to label the vertices xÎV with distinct element f(x) from 0, 1,…,q in such a way that when each edge e = uv is labeled with f(e=uv) = 16f(u)2+f(v)2f(u)+f(v)">  or 16f(u)2+f(v)2f(u)+f(v)">  with distinct edge labels. The mapping f is called Contra Harmonic mean labeling of G.

Keywords: Graph, Contra Harmonic mean graph, Triangular snake, Quadrilateral snake, Step Ladder, Flower graph.

Cite this Article

J. Rajeshni Golda, S. S. Sandhya. Contra Harmonic Mean Labeling for Some Tree and Corona Related Graphs. Research & Reviews Discrete Mathematical Structures. 2019; 6(2): 24–29p.