On the Controllability of Clustered Scale-Free Networks
Systems and Control
2019-05-07 v1 Social and Information Networks
Physics and Society
Abstract
In this paper, we compare the number of unmatched nodes and the size of dilations in two main random network models, the Scale-Free and Clustered Scale-Free networks. The number of unmatched nodes determines the necessary number of control inputs and is known to be a measure for network controllability, while the size of dilation is a measure of controllability recovery in case of control input failure. Our results show that clustered version of Scale-Free networks require fewer control inputs for controllability. Further, the average size of dilations is smaller in clustered Scale-Free networks, implying that potentially fewer options for controllability recovery are available.
Keywords
Cite
@article{arxiv.1905.01630,
title = {On the Controllability of Clustered Scale-Free Networks},
author = {Mohammadreza Doostmohammadian and Usman A. Khan},
journal= {arXiv preprint arXiv:1905.01630},
year = {2019}
}