Abstract
The eigenvalues of normalized Laplacian are extremely important for analyzing the structure properties of non-regular graphs. A molecular graph of generalized phenylene L
n
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 L
n
. 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.