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

2014/11/18 by Altındağ, Ş. Burcu Bozkurt, Bozkurt, Durmuş
#05C50 #11A25 #11L03 #15A18 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1411.4850

Abstract

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

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