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

For a simple graph \(G\) and a real number \(\alpha \) \(\left(\alpha \neq 0,1\right) \) the graph invariant \(s_{\alpha}\left(G\right) \) is equal to the sum of powers of signless Laplacian eigenvalues of \(G\). In this note, we present some new bounds on \(s_{\alpha}\left(G\right) \). As a result...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2014-11
Main Authors: \c{S} Burcu Bozkurt Altındağ, Bozkurt, Durmuş
Format: Article
Language:English
Subjects:
Eigenvalues
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For a simple graph \(G\) and a real number \(\alpha \) \(\left(\alpha \neq 0,1\right) \) the graph invariant \(s_{\alpha}\left(G\right) \) is equal to the sum of powers of signless Laplacian eigenvalues of \(G\). In this note, we present some new bounds on \(s_{\alpha}\left(G\right) \). As a result of these bounds, we also give some results on incidence energy.
ISSN:2331-8422