Investigates Laplacian spectra and Kirchhoff indices in pentagonal-quadrilateral chains, highlighting network properties.
Let Qn be the linear pentagonal-quadrilateral chain containing 2n pentagons and n squares. In this paper, we determined the (normalized) Laplacian spectra of Qn based 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.
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Ali et al. (2021) studied this question.
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