Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626099 | Applied Mathematics and Computation | 2016 | 7 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Pinchen Xie, Zhongzhi Zhang, Francesc Comellas,