Further results on the permanental sums of bicyclic graphs

Tingzeng Wu, Yinggang Bai

Let $G$ be a graph, and let $A(G)$ be the adjacency matrix of $G$. The permanental polynomial of $G$ is defined as $\pi (G,x)=\mathrm{per}(xI-A(G))$. The permanental sum of $G$ can be…