Sharp bounds for the Randic index of graphs with given minimum and maximum degree

Suil O, Yongtang Shi

The Randi{\' c} index of a graph $G$, written $R(G)$, is the sum of $\frac{1}{\sqrt{d(u)d(v)}}$ over all edges $uv$ in $E(G)$. %let $R(G)=\sum_{uv \in E(G)} \frac 1{\sqrt{d(u)d(v)}}…