@article {
author = {Sharada, Biligirirangaiah and Sowaity, Mohammad Issa and Gutman, Ivan},
title = {Laplacian Sum-Eccentricity Energy of a Graph},
journal = {Mathematics Interdisciplinary Research},
volume = {2},
number = {2},
pages = {209-219},
year = {2017},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2017.106176.1084},
abstract = {We introduce the Laplacian sum-eccentricity matrix LS_e} of a graph G, and its Laplacian sum-eccentricity energy LS_eE=\sum_{i=1}^n |\eta_i|, where \eta_i=\zeta_i-\frac{2m}{n} and where \zeta_1,\zeta_2,\ldots,\zeta_n are the eigenvalues of LS_e}. Upper bounds for LS_eE are obtained. A graph is said to be twinenergetic if \sum_{i=1}^n |\eta_i|=\sum_{i=1}^n |\zeta_i|. Conditions for the existence of such graphs are established.},
keywords = {Sum-eccentricity eigenvalues,sum-eccentricity energy,Laplacian sum-eccentricity matrix,Laplacian sum-eccentricity energy},
url = {http://mir.kashanu.ac.ir/article_54000.html},
eprint = {http://mir.kashanu.ac.ir/article_54000_a60755aff16ea35f3f068051c0878426.pdf}
}