Transforming complex network to the acyclic one
Physics and Society
2012-07-17 v2 Disordered Systems and Neural Networks
Social and Information Networks
Abstract
Acyclic networks are a class of complex networks in which links are directed and don't have closed loops. Here we present an algorithm for transforming an ordinary undirected complex network into an acyclic one. Further analysis of an acyclic network allows finding structural properties of the network. With our approach one can find the communities and key nodes in complex networks. Also we propose a new parameter of complex networks which can mark most vulnerable nodes of the system. The proposed algorithm can be applied to finding communities and bottlenecks in general complex networks.
Cite
@article{arxiv.1010.1864,
title = {Transforming complex network to the acyclic one},
author = {Roman Shevchuk and Andrew Snarskii},
journal= {arXiv preprint arXiv:1010.1864},
year = {2012}
}
Comments
13 pages, 8 figures