A method for constructing graphs with the same resistance spectrum

Si-Ao Xu, Huan Zhou, Xiang-Feng Pan

Let $G=(V(G),E(G))$ be a graph with vertex set $V(G)$ and edge set $E(G)$. The resistance distance $R_G(x,y)$ between two vertices $x,y$ of $G$ is defined to be the effective resis…