Bozkurt, S. BurcuBozkurt, Durmuş2020-03-262020-03-262012Bozkurt, S. B., Bozkurt, D., (2012). On the Sum of Powers of Normalized Laplacian Eigenvalues of Graphs. Match-communications in Mathematical and in Computer Chemistry, 68(3), 917-930.0340-6253https://hdl.handle.net/20.500.12395/28272For a graph G without isolated vertices and a real alpha not equal 0, we introduce a new graph invariant s(alpha)(*) (G)- the sum of the alpha th power of the non-zero normalized Laplacian eigenvalues of G. Recently, the cases alpha = 2 and -1 have appeared in various problems in the literature. Here, we present some lower and upper bounds of s(alpha)(*)(G) for a connected graph G, where alpha not equal 0, 1. We also discuss the case alpha = -1.eninfo:eu-repo/semantics/closedAccessArticle683917930Q1WOS:000312622900021Q1