On sum of powers of the signless Laplacian eigenvalues of graphs

Abstract

For a graph G and a real number $alpha$ ( $alphaneq$ 0, 1), the graph invariant $S_alpha$(G) is the sum of the $alpha^{th}$ power of the signless Laplacian eigenvalues of G. Let IE(G) denote the incidence energy of G, i.e., IE(G) = S1 2 (G). This note presents some properties and bounds for $S_alpha$(G) and IE(G).