A proof of a conjecture on the distance spectral radius and maximum transmission of graphs

Lele Liu, Haiying Shan, Changxiang He

Let $G$ be a simple connected graph, and $D(G)$ be the distance matrix of $G$. Suppose that $D_{\max }(G)$ and ${\lambda }_1(G)$ are the maximum row sum and the spectral radius of $D(G)$, re…