On sum of powers of the Laplacian eigenvalues of graphs Original Research Article

For a graph G and a real α≠0, we study the graph invariant sα(G) – the sum of the αth power of the non-zero Laplacian eigenvalues of G. The cases image and -1 have appeared in different problems. Here we establish some properties for sα with α≠0,1. We also discuss the cases image.