On the signless Laplacian Estrada index of bicyclic graphs

The signless Laplacian Estrada index of a graph is defined as SLEE(G)=∑i=1neqi, where q1,q2,…,qn are the eigenvalues of the signless Laplacian matrix of G. In this paper, we determine the unique bicyclic graph with maximum SLEE and the unique bipartite bicyclic graph with maximum SLEE, respectively.