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

Ş. Burcu Bozkurt Altındağ; Durmuş Bozkurt

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

Combinatorics 2014-11-19 v1

Authors: Ş. Burcu Bozkurt Altındağ , Durmuş Bozkurt

Abstract

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.

Keywords

signless Laplacian eigenvalues sum of powers graph invariant incidence energy bounds

Cite

@article{arxiv.1411.4850,
  title  = {Note on the Sum of Powers of Signless Laplacian Eigenvalues of Graphs},
  author = {Ş. Burcu Bozkurt Altındağ and Durmuş Bozkurt},
  journal= {arXiv preprint arXiv:1411.4850},
  year   = {2014}
}

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