Abstract:By studying the structural characteristics of linear crossed polyomino chain Xn and crossed polyomino cylinder chain Gn, the Laplacian spectra of Xn and Gn are calculated by the Laplacian eigenvalues of the composite graph, and the analytic expressions of Kirchhoff index, degree-Kirchhoff index and the number of spanning trees of Xn and Gn are derived. And we show that when n tends to be infinity, the Kirchhoff index of crossed polyomino cylinder chain Gn is one-half of the Kirchhoff index of the linear crossed polyomino chain Xn.