On eccentricity version of Laplacian energy of a graph
Discrete Mathematics
2017-01-10 v1 Combinatorics
Abstract
The energy of a graph G is equal to the sum of absolute values of the eigenvalues of the adjacency matrix of G, whereas the Laplacian energy of a graph G is equal to the sum of the absolute value of the difference between the eigenvalues of the Laplacian matrix of G and average degree of the vertices of G. Motivated by the work from Sharafdini et al. [R. Sharafdini, H. Panahbar, Vertex weighted Laplacian graph energy and other topological indices. J. Math. Nanosci. 2016, 6, 49-57.], in this paper we investigate the eccentricity version of Laplacian energy of a graph G.
Keywords
Cite
@article{arxiv.1701.02000,
title = {On eccentricity version of Laplacian energy of a graph},
author = {Nilanjan De},
journal= {arXiv preprint arXiv:1701.02000},
year = {2017}
}