Some results on harmonic index of root square mean graphs

Abstract

The Harmonic index $H(G)$ of a graph $G$ is defined as the sum of weights $\frac{2}{d(u)+d(v)}$ of all edges $u v$ of $G$, where $d(u)$ denotes the degree of a vertex $u$ in $G$. In this paper, we introduce harmonic index of some root square mean graphs.