TY - JOUR
ID - 53998
TI - Seidel Signless Laplacian Energy of Graphs
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Ramane, Harishchandra S.
AU - Gutman, Ivan
AU - Patil, Jayashri B.
AU - Jummannaver, Raju B.
AD - Department of Mathematics,
Karnatak University,
Dharwad – 580003, India
AD - Faculty of Science,
University of Kragujevac,
P.O. Box 60, 34000 Kragujevac, Serbia
AD - Department of Mathematics,
Hirasugar Institute of Technology,
Nidasoshi – 591236, India
Y1 - 2017
PY - 2017
VL - 2
IS - 2
SP - 181
EP - 191
KW - Seidel Laplacian eigenvalues
KW - Seidel Laplacian energy
KW - Seidel signless Laplacian matrix
KW - Seidel signless Laplacian eigenvalues
KW - Seidel signless Laplacian energy
DO - 10.22052/mir.2017.101641.1081
N2 - Let S(G) be the Seidel matrix of a graph G of order n and let DS(G)=diag(n-1-2d1, n-1-2d2,..., n-1-2dn) 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)=DS(G)+S(G). The Seidel signless Laplacian energy ESL+(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 ESL+(G).
UR - https://mir.kashanu.ac.ir/article_53998.html
L1 - https://mir.kashanu.ac.ir/article_53998_01ab0ae77936bf1f5161db2349204526.pdf
ER -