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Let  Q nbe the linear pentagonal-quadrilateral chain containing 2 n  pentagons and  n  squares. In this paper, we determined the (normalized) Laplacian spectra of  Q nbased on the decomposition techniques for the corresponding matrices. Further, we obtained explicit expressions for (multiplicative degree-) Kirchhoff index and the number of spanning trees of linear pentagonal-quadrilateral chains which are based on relationships between the coefficients and roots.

Resistance Distance-Based Indices and Spanning Trees of Linear Pentagonal-Quadrilateral Networks