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Transforming a complex network to an acyclic one

Author

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  • Shevchuk, Roman
  • Snarskii, Andrew

Abstract

Acyclic networks are a class of complex networks in which links are directed and do not 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 one to find the 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 the most vulnerable nodes of the system. The proposed algorithm can be applied to finding communities and bottlenecks in general complex networks.

Suggested Citation

  • Shevchuk, Roman & Snarskii, Andrew, 2012. "Transforming a complex network to an acyclic one," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6184-6189.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:23:p:6184-6189
    DOI: 10.1016/j.physa.2012.07.030
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    References listed on IDEAS

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    1. Gergely Palla & Imre Derényi & Illés Farkas & Tamás Vicsek, 2005. "Uncovering the overlapping community structure of complex networks in nature and society," Nature, Nature, vol. 435(7043), pages 814-818, June.
    2. Diego Prada-Gracia & Jesús Gómez-Gardeñes & Pablo Echenique & Fernando Falo, 2009. "Exploring the Free Energy Landscape: From Dynamics to Networks and Back," PLOS Computational Biology, Public Library of Science, vol. 5(6), pages 1-9, June.
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