The signless Laplacian Estrada index of tricyclic graphs

چکیده مقاله

The signless Laplacian Estrada index of a simple graph G is defined as SLEE(G)= sum of q_i where q_1,q_2,...,q_n are the eigenvalues of the signless Laplacian matrix of G. In this paper we show that there are exactly two tricyclic graphs with the maximal signless Laplacian Estrada index.