  The Kirchhoff index and degree-Kirchhoff index have attracted extensive
attentions due to its practical applications in complex networks, physics, and
chemistry. In 2019, Liu et al. [Int. J. Quantum Chem. 119 (2019) e25971]
derived the formula of the degree-Kirchhoff index of linear
octagonal-quadrilateral networks. In the present paper, we consider linear
crossed octagonal-quadrilateral networks $Q_n$. Explicit closed-form formulas
of the Kirchhoff index, the degree-Kirchhoff index, and the number of spanning
trees of $Q_n$ are obtained. Moreover, the Kirchhoff index (resp.
degree-Kirchhoff index) of $Q_n$ is shown to be almost 1/4 of its Wiener index
(resp. Gutman index).
