  Spectral theory has widely used in complex networks and solved some practical
problems. In this paper, we investigated the Laplacian and normalized Laplacian
spectra of Mobius polyomino networks by using spectral theory. Let Mn denote
Mobius polyomino networks (n>=3). As applications of the obtained results, the
Kirchhoff index, multiplicative degree-Kirchhoff index, Kemeny's constant and
spanning trees of Mn are obtained. Moreover, it is surprising to find that the
multiplicative degree-Kirchhoff index of Mn is nine times as much as the
Kirchhoff index.
