Abstract
The eigenvalues of normalized Laplacian are extremely important for analyzing the structure properties of non-regular graphs. A molecular graph of generalized phenylene Ln is a linear chain containing n hexagons and n quadrangles. The strong prism of a graph G is the strong product of the complete graph of order 2 and G. Let be the strong prism of generalized phenylene Ln. In this paper, the normalized Laplacian spectra of
were scrutinized by using decomposition theorem for the corresponding matrices. Further, the explicit formulae of the degree-Kirchhoff index and the number of spanning trees for
were obtained.
Acknowledgments
The authors would like to express their sincere gratitude to the anonymous referees for valuable suggestions, which led to a great deal of improvement in the original manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).