TY - JOUR
AU - Ramin Nasiri
AU - Hamid Reza Ellahi
AU - Gholam Hossein Fath-Tabar
AU - Ahmad Gholami
T1 - On Maximum Signless Laplacian Estrada Index of Graphs with Given Parameters II
T2 - Electronic Journal of Graph Theory and Applications
JF - Electronic Journal of Graph Theory and Applications
DA - 2018///
PY - 2018
IS - 1
VL - 6
AB - The signless Laplacian Estrada index of a graph $G$ is defined as $SLEE(G)=\sum^{n}_{i=1}e^{q_i}$ where $q_1, q_2, \ldots, q_n$ are the eigenvalues of the signless Laplacian matrix of G. Following the previous work in which we have identified the unique graphs with maximum signless Laplacian Estrada index with each of the given parameters, namely, number of cut edges, pendent vertices, (vertex) connectivity, and edge connectivity, in this paper we continue our characterization for two further parameters: diameter and number of cut vertices.
DO - 10.5614/ejgta.2018.6.1.14
ER -