  The eigenvalues of the normalized Laplacian of a graph provide information on
its topological and structural characteristics and also on some relevant
dynamical aspects, specifically in relation to random walks. In this paper we
determine the spectra of the normalized Laplacian of iterated triangulations of
a generic simple connected graph. As an application, we also find closed-forms
for their multiplicative degree-Kirchhoff index, Kemeny's constant and number
of spanning trees.
