@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 LSe of a graph G, and its Laplacian sum-eccentricity energy LSeE=∑ni=1|ηi|, where ηi=ξi-(2m/n) and where ξ1,ξ2,...,ξn are the eigenvalues of LSe. Upper bounds for LSeE are obtained. A graph is said to be twinenergetic if ∑ni=1|ηi|=∑ni=1|ξi|. 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 = {https://mir.kashanu.ac.ir/article_54000.html},
eprint = {https://mir.kashanu.ac.ir/article_54000_a60755aff16ea35f3f068051c0878426.pdf}
}