@article {
author = {Ramane, Harishchandra and Gutman, Ivan and Patil, Jayashri and Jummannaver, Raju},
title = {Seidel Signless Laplacian Energy of Graphs},
journal = {Mathematics Interdisciplinary Research},
volume = {2},
number = {2},
pages = {181-191},
year = {2017},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2017.101641.1081},
abstract = {Let $S(G)$ be the Seidel matrix of a graph $G$ of order $n$ and let $D_S(G)=diag(n-1-2d_1, n-1-2d_2,\ldots, n-1-2d_n)$ be the diagonal matrix with $d_i$ denoting the degree of a vertex $v_i$ in $G$. The Seidel Laplacian matrix of $G$ is defined as $SL(G)=D_S(G)-S(G)$ and the Seidel signless Laplacian matrix as $SL^+(G)=D_S(G)+S(G)$. The Seidel signless Laplacian energy $E_{SL^+}(G)$ is defined as the sum of the absolute deviations of the eigenvalues of $SL^+(G)$ from their mean. In this paper, we establish the main properties of the eigenvalues of $SL^+(G)$ and of $E_{SL^+}(G)$.},
keywords = {Seidel Laplacian eigenvalues,Seidel Laplacian energy,Seidel signless Laplacian matrix,Seidel signless Laplacian eigenvalues,Seidel signless Laplacian energy},
url = {http://mir.kashanu.ac.ir/article_53998.html},
eprint = {http://mir.kashanu.ac.ir/article_53998_01ab0ae77936bf1f5161db2349204526.pdf}
}