On the spectral moment of graphs with $k$ cut edges

Shuchao Li, Huihui Zhang

Let $A(G)$ be the adjacency matrix of a graph $G$ with ${\lambda }_1(G)$, ${\lambda }_2(G)$, ..., ${\lambda }_n(G)$ being its eigenvalues in non-increasing order. Call the number $S_k(G):=\sum_{i=1}^{n…