Root quad mean labeling for some special graphs

A. Neerajah, M. Chris Monica · Advances in Mathematics Scientific Journal · 2020

A graph G $= (p,q)$ is a Root Quad Mean graph if there is an injective function f from the vertices of G to 1,2,…, $p^2 -1$ such that when each edge uv is labeled with $\frac{\sqrt{f(u)^4+f(v)^4}}{2}$ then the resultant edges are distinct. In this paper we proved Comb graph, Ladder graph , Slanting ladder graph, Gear graph, Helm graph and Heger graph are Root Quad Mean Graphs.

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