Note on the Sum of Powers of Signless Laplacian Eigenvalues of Graphs

For a simple graph $G$ and a real number $α$ $\left(α\neq 0,1\right)$ the graph invariant $s_α\left(G\right)$ is equal to the sum of powers of signless Laplacian eigenvalues of $G$. In this note, we present some new bounds on $s_α\left(G\right)$. As a result of these bounds, we also give some results on incidence energy.

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