Abstract
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 On denote linear octagonal-quadrilateral networks. In this paper, we investigate that the Laplacian spectrum of On 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 On on the basis of the relationship between the coefficients and roots of the characteristic polynomial.
Acknowledgments
The authors would like to express their sincere gratitude to the editor and anonymous referees for valuable suggestions, which led to great deal of improvement of the original paper.