The (degree)-Kirchhoff index of linear crossed octagonal-quadrilateral networks
Combinatorics
2022-06-22 v1 Spectral Theory
Abstract
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 . Explicit closed-form formulas of the Kirchhoff index, the degree-Kirchhoff index, and the number of spanning trees of are obtained. Moreover, the Kirchhoff index (resp. degree-Kirchhoff index) of is shown to be almost 1/4 of its Wiener index (resp. Gutman index).
Keywords
Cite
@article{arxiv.2206.09447,
title = {The (degree)-Kirchhoff index of linear crossed octagonal-quadrilateral networks},
author = {Jia-Bao Liu and Ting Zhang and Wenshui Lin},
journal= {arXiv preprint arXiv:2206.09447},
year = {2022}
}