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. 2015 Mar 31;16(1):63. doi: 10.1186/s13059-015-0624-2

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© Cheng et al.; licensee BioMed Central. 2015

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

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Application of the hierarchy score maximization algorithm to a military command network. (A) A military command network with 19 nodes at five hierarchy levels. (B) The probability matrix inferred by the HSM algorithm with the number of levels specified as L = 2, 3, …, 8. Each element in the matrix gives the probability of a node being assigned to a level. The HSM algorithm correctly identifies the network hierarchy when L = 5 is specified. (C) The distribution of hierarchy scores when a certain number of edges in the original network are perturbed. HS: hierarchy score; CHS: corrected hierarchy score; PHS: probabilistic hierarchy score (see ‘Materials and methods’ for details).