3 research outputs found
On maximum signless Laplacian Estrada index of graphs with given parameters II
The signless Laplacian Estrada index of a graph G is defined as SLEE(G)β=ββniβ=β1eqi where q1,βq2,ββ¦,βqn 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.</p