Kirchhoff index, multiplicative degree‐Kirchhoff index and spanning trees of the linear crossed hexagonal chains

Abstract Let H n be a linear crossed hexagonal chain with n crossed hexagonals. In this article, we find that the Laplacian (resp. normalized Laplacian) spectrum of H n consists of the eigenvalues of a symmetric tridiagonal matrix of order 2 n + 1 and a diagonal matrix of order 2 n + 1. Based on the properties of these matrices, significant closed formulas for the Kirchhoff index, multiplicative degree‐Kirchhoff index and the number of spanning trees of H n are derived. Finally, we show that the Kirchhoff (resp. multiplicative degree‐Kirchhoff) index of H n is approximately one quarter of its Wiener (resp. Gutman) index.