%0 Journal Article
%T Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Bozkurt Altındağ, Ş. Burcu
%D 2019
%\ 12/01/2019
%V 4
%N 2
%P 171-182
%! Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs
%K Normalized signless Laplacian eigenvalues
%K Randic (normalized) incidence energy
%K Bound
%R 10.22052/mir.2019.208991.1180
%X In this paper, for a connected graph G and a real α≠0, we define a new graph invariant σα(G)-as the sum of the alphath powers of the normalized signless Laplacian eigenvalues of G. Note that σ1/2(G) is equal to Randic (normalized) incidence energy which have been recently studied in the literature [5, 15]. We present some bounds on σα(G) (α ≠ 0, 1) and also consider the special case α = 1/2.
%U https://mir.kashanu.ac.ir/article_101587_6d3f9f9d05078067f97d041c27644362.pdf