On the spectral moment of trees with given degree sequences

Li Shuchao, Song Yibing

Let $A(G)$ be the adjacency matrix of graph $G$ with eigenvalues ${\lambda }_1(G),{\lambda }_2(G),...,{\lambda }_n(G)$ in non-increasing order. The number $S_k(G):=\sum_{i=1}^{n}λ_i^{k}(G)\, (k=0, 1,..., n…