Eigenvectors of isospectral graph transformations
Dynamical Systems
2015-01-30 v2
Abstract
L.A. Bunimovich and B.Z. Webb developed a theory for isospectral graph reduction. We make a simple observation regarding the relation between eigenvectors of the original graph and its reduction, that sheds new light on this theory. As an application we propose an updating algorithm for the maximal eigenvector of the Markov matrix associated to a large sparse dynamical network.
Keywords
Cite
@article{arxiv.1412.7130,
title = {Eigenvectors of isospectral graph transformations},
author = {Pedro Duarte and Maria Joana Torres},
journal= {arXiv preprint arXiv:1412.7130},
year = {2015}
}