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- W3083913945 abstract "Let $H_n$ be the linear heptagonal networks with $2n$ heptagons. We study the structure properties and the eigenvalues of the linear heptagonal networks. According to the Laplacian polynomial of $H_n$, we utilize the decomposition theorem. Thus, the Laplacian spectrum of $H_n$ is created by eigenvalues of a pair of matrices: $L_A$ and $L_S$ of order number $5n+1$ and $4n+1$, respectively. On the basis of the roots and coefficients of their characteristic polynomials of $L_A$ and $L_S$, we not only get the explicit forms of Kirchhoff index, but also corresponding total complexity of $H_n$." @default.
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- W3083913945 date "2020-09-09" @default.
- W3083913945 modified "2023-09-25" @default.
- W3083913945 title "The Laplacian spectrum, Kirchhoff index and complexity of the linear heptagonal networks" @default.
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- W3083913945 doi "https://doi.org/10.48550/arxiv.2009.04621" @default.
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