Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4649019 | Discrete Mathematics | 2010 | 7 Pages |
Abstract
We compute the Laplacian spectra and eigenfunctions of generalized compositions of graphs, as explicit functions of the spectra and eigenfunctions of their components. Applications to two-level hierarchical graphs are given. We introduce the tree composition of graphs and study its spectral decomposition, with applications to some hierarchical networks.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
A. Gerbaud,