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A Novel Similarity-Based Modularity Function for Graph Partitioning

, , , and . Data Warehousing and Knowledge Discovery, (2007)

Abstract

Graph partitioning, or network clustering, is an essential research problem in many areas. Current approaches, however, have difficulty splitting two clusters that are densely connected by one or more “hub” vertices. Further, traditional methods areless able to deal with very confused structures. In this paper we propose a novel similarity-based definition of the qualityof a partitioning of a graph. Through theoretical analysis and experimental results we demonstrate that the proposed definitionlargely overcomes the “hub” problem and outperforms existing approaches on complicated graphs. In addition, we show that thisdefinition can be used with fast agglomerative algorithms to find communities in very large networks.

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