Which wheel graphs are determined by their Laplacian spectra?

The wheel graph, denoted byWnC1, is the graph obtained from the circuit Cn with n vertices by adding a new vertex and joining it to every vertex of Cn. In this paper, the wheel graph WnC1, except for W7, is proved to be determined by its Laplacian spectrum, and a graph cospectral with the wheel graph W7 is given.