On the motif distribution in random block-hierarchical networks

V.A. Avetisov, S.K. Nechaev and A.B. Shkarin

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 24, 5895-5902

Abstract: The distribution of motifs in random hierarchical topological networks defined by nonsymmetric random block-hierarchical adjacency matrices, is constructed for the first time. According to the classification of U. Alon et al. of network superfamilies (Milo et al., 2004 [11]) by their motifs distributions, our artificial directed random hierarchical networks fall into the superfamily of natural networks to which the neuron networks belong. This is the first example of a class of “handmade” topological networks with the motifs distribution as in a special class of natural networks of essential biological importance.

Keywords: Network; Motif; Hierarchical model; Phase transition (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:24:p:5895-5902

DOI: 10.1016/j.physa.2010.09.016

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