@article{Shi2024, 
author = {Zhi-Yu Shi and Jia-Bao Liu},
title = {Topological indices of linear crossed phenylenes with respect to their Laplacian and normalized Laplacian spectrum},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {3},
pages = {5431-5450},
keywords = {Laplacian spectrum, normalized Laplacian spectrum, Kirchhoff index, multiplicative degree-Kirchhoff index, complexity},
url = {https://www.sciopen.com/article/10.3934/math.2024262},
doi = {10.3934/math.2024262},
abstract = {As a powerful tool for describing and studying the properties of networks, the graph spectrum analyses and calculations have attracted substantial attention from the scientific community. Let        C          n       represent linear crossed phenylenes. Based on the Laplacian (normalized Laplacian, resp.) polynomial of        C          n      , we first investigated the Laplacian (normalized Laplacian, resp) spectrum of        C          n       in this paper. Furthermore, the Kirchhoff index, multiplicative degree-Kirchhoff, index and complexity of        C          n       were obtained through the relationship between the roots and the coefficients of the characteristic polynomials. Finally, it was found that the Kirchhoff index and multiplicative degree-Kirchhoff index of        C          n       were approximately one quarter of their Wiener index and Gutman index, respectively.}
}