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This paper introduces the notion of co-modularity, to co-cluster observationsof bipartite networks into co-communities. The task of co-clustering is togroup together nodes of one type with nodes of another type, according to theinteractions that are the most similar. The novel measure of co-modularity isintroduced to assess the strength of co-communities, as well as to arrange therepresentation of nodes and clusters for visualisation, and to define anobjective function for optimisation. We demonstrate the usefulness of ourproposed methodology on simulated data, and with examples from genomics andconsumer-product reviews.

Co-modularity and Detection of Co-communities