On a Conjecture of Randić Index and Graph Radius

Hanyuan Deng, Zikai Tang, Jie Zhang

The Randić index $R(G)$ of a graph $G$ is defined as the sum of $(d_i{d}_j{)}^{-1/2}$ over all edges $v_i{v}_j$ of $G$, where $d_i$ is the degree of the vertex $v_i$ in $G$. The radius…