Spectral Radii of Arithmetical Structures on Cycle Graphs

Alexander Diaz-Lopez, Kathryn Haymaker, Michael Tait

Let $G$ be a finite, connected graph. An arithmetical structure on $G$ is a pair of positive integer-valued vectors $(\mathbf{d},\mathbf{r})$ such that $(\text{diag}(\mathbf{d})-A_…