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arXiv · 1710.03924

A Note on Community Trees in Networks

Ruqian Chen·Yen-Chi Chen·Wei Guo·Ashis G. Banerjee
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Abstract

We introduce the concept of community trees that summarizes topological structures within a network. A community tree is a tree structure representing clique communities from the clique percolation method (CPM). The community tree also generates a persistent diagram. Community trees and persistent diagrams reveal topological structures of the underlying networks and can be used as visualization tools. We study the stability of community trees and derive a quantity called the total star number (TSN) that presents an upper bound on the change of community trees. Our findings provide a topological interpretation for the stability of communities generated by the CPM.

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Ruqian Chen, Yen-Chi Chen, Wei Guo, Ashis G. Banerjee. 2017-10-11. A Note on Community Trees in Networks. https://arxiv.org/abs/1710.03924

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