Emergent Network Modularity

P. L. Krapivsky; S. Redner

doi:10.1088/1742-5468/aa7a3f

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arXiv · 1706.01514

Emergent Network Modularity

P. L. Krapivsky·S. Redner

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Abstract

We introduce a network growth model based on complete redirection: a new node randomly selects an existing target node, but attaches to a random neighbor of this target. For undirected networks, this simple growth rule generates unusual, highly modular networks. Individual network realizations typically contain multiple macrohubs---nodes whose degree scales linearly with the number of nodes $N$. The size of the network "nucleus"---the set of nodes of degree greater than one---grows sublinearly with $N$ and thus constitutes a vanishingly small fraction of the network. The network therefore consists almost entirely of leaves (nodes of degree one) as $N\to\infty$.

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P. L. Krapivsky, S. Redner. 2017-06-05. Emergent Network Modularity. https://doi.org/10.1088/1742-5468/aa7a3f

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