TY - JOUR
ID - 46679
TI - The Signless Laplacian Estrada Index of Unicyclic Graphs
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Ellahi, Hamid Reza
AU - Nasiri, Ramin
AU - Fath-Tabar, Gholam Hossein
AU - Gholami, Ahmad
AD - Department of Mathematics,
Faculty of Science,
University of Qom,
Qom, I R Iran
AD - Department of Pure Mathematics,
Faculty of Mathematical Sciences,
University of Kahsan, Kashan, Iran
Y1 - 2017
PY - 2017
VL - 2
IS - 2
SP - 155
EP - 167
KW - Signless Laplacian Estrada index
KW - Unicyclic graphs
KW - extremal graphs
KW - diameter
KW - signless Laplacian resolvent energy
DO - 10.22052/mir.2017.57775.1038
N2 - For a simple graph G, the signless Laplacian Estrada index is defined as SLEE(G)=∑ni=1eqi, where q1, q2,..., qn are the eigenvalues of the signless Laplacian matrix of G. In this paper, we first characterize the unicyclic graphs with the first two largest and smallest SLEE's and then determine the unique unicyclic graph with maximum SLEE among all unicyclic graphs on n vertices with a given diameter. All extremal graphs, which have been introduced in our results are also extremal with respect to the signless Laplacian resolvent energy.
UR - https://mir.kashanu.ac.ir/article_46679.html
L1 - https://mir.kashanu.ac.ir/article_46679_9ebe519f917a721f6f9fd832c72a83d7.pdf
ER -