  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 $G$. In this paper, we show
that there are exactly two tricyclic graphs with the maximal signless Laplacian
Estrada index.
