On the motifs distribution in random hierarchical networks

TL;DR

This paper constructs the motif distribution in random hierarchical networks, revealing their similarity to natural neuron networks and providing a novel example of artificial networks mimicking biological motifs.

Contribution

It introduces the first construction of motif distributions in random hierarchical networks, linking them to natural neuron network superfamilies.

Findings

Hierarchical networks share motif distributions with natural neuron networks.

First example of artificial networks with biologically relevant motif distributions.

Motif distribution constructed for the first time in this network class.

Abstract

The distribution of motifs in random hierarchical 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 by their motifs distributions, our artificial directed random hierarchical networks falls into the superfamily of natural networks to which the class of neuron networks belongs. This is the first example of ``handmade'' networks with the motifs distribution as in a special class of natural networks of essential biological importance.