On sum of powers of Laplacian eigenvalues and Laplacian Estrada index of graphs

Details On sum of powers of Laplacian eigenvalues and Laplacian Estrada index of graphs On sum of powers of Laplacian eigenvalues and Laplacian Estrada index of graphs

2011-02-06

arxiv.org/abs/1102.1144v1

MATCH Commun. Math. Comput. Chem. 62 (2009) 611-619

Mathematics

Combinatorics

9 pages

Scientific paper

Let $G$ be a simple graph and $\alpha$ a real number. The quantity $s_{\alpha}(G)$ defined as the sum of the $\alpha$-th power of the non-zero Laplacian eigenvalues of $G$ generalizes several concepts in the literature. The Laplacian Estrada index is a newly introduced graph invariant based on Laplacian eigenvalues. We establish bounds for $s_{\alpha}$ and Laplacian Estrada index related to the degree sequences.

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