Diclique clustering in a directed random graph

Mindaugas Bloznelis; Lasse Leskelä

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arXiv · 1607.02278

Diclique clustering in a directed random graph

Mindaugas Bloznelis·Lasse Leskelä

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Abstract

We discuss a notion of clustering for directed graphs, which describes how likely two followers of a node are to follow a common target. The associated network motifs, called dicliques or bi-fans, have been found to be key structural components in various real-world networks. We introduce a two-mode statistical network model consisting of actors and auxiliary attributes, where an actor i decides to follow an actor j whenever i demands an attribute supplied by j. We show that the digraph admits nontrivial clustering properties of the aforementioned type, as well as power-law indegree and outdegree distributions.

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Mindaugas Bloznelis, Lasse Leskelä. 2016-07-08. Diclique clustering in a directed random graph. https://arxiv.org/abs/1607.02278

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