Akbar Ali

Reciprocal Mean Square Index of Graphs

The reciprocal mean square (RMS) index of a graph G with edge set E(G) is defined by RMS(G)=∑uv∈E(G)[(d(u))2+(d(v))2]−1, where d(u) and d(v) are the degrees of vertices u and v, respectively. We first establish several bounds for the RMS index in terms of standard graph parameters (including the size, minimum degree, a...