Square-free Discriminants of Matrices and the Generalized Spectral Characterizations of Graphs

Wei Wang, Tao Yu

Let $S_n(\mathbb{Z})$ and $O_n(\mathbb{Q})$ denote the set of all $n\times n$ symmetric matrices over the ring of integers $\mathbb{Z}$ and the set of all $n\times n$ orthogonal ma…