Computing the Laplacian Spectrum of Linear Octagonal-Quadrilateral Networks and Its Applications

As a powerful tool for describing and studying the properties of compounds, the graphs spectrum analysis and calculations have attracted substantial attention of the scientific community. Let O n denote linear octagonal-quadrilateral networks. In this paper, we investigate that the Laplacian spectru...

Full description

Saved in:
Bibliographic Details
Published inPolycyclic aromatic compounds Vol. 42; no. 3; pp. 659 - 670
Main Authors Liu, Jia-Bao, Shi, Zhi-Yu, Pan, Ying-Hao, Cao, Jinde, Abdel-Aty, M., Al-Juboori, Udai
Format Journal Article
LanguageEnglish
Published Taylor & Francis 22.04.2022
Subjects
complexity
Kirchhoff index
Laplacian matrix
Online AccessGet full text

Cover

More Information
Summary:As a powerful tool for describing and studying the properties of compounds, the graphs spectrum analysis and calculations have attracted substantial attention of the scientific community. Let O n denote linear octagonal-quadrilateral networks. In this paper, we investigate that the Laplacian spectrum of O n consists of the Laplacian spectrum of and eigenvalues of a symmetric tridiagonal matrix of order As applications of the obtained results, we derive the explicit closed formulas of Kirchhoff index and complexity of O n on the basis of the relationship between the coefficients and roots of the characteristic polynomial.
ISSN:1040-6638
1563-5333
DOI:10.1080/10406638.2020.1748666