  Let $G$ be a graph with $n$ vertices, and let $L(G)$ and $Q(G)$ be the
Laplacian matrix and signless Laplacian matrix of $G$, respectively. The
polynomial $\pi(L(G);x)={\rm per}(xI-L(G))$ (resp. $\pi(Q(G);x)={\rm
per}(xI-Q(G))$) is called {\em Laplacian permanental polynomial} (resp. {\em
signless Laplacian permanental polynomial}) of $G$. In this paper, we show that
two classes of bicyclic graphs are determined by their (signless) Laplacian
permanental polynomials.
