Papers › Butterfly Counting in Bipartite Networks
Butterfly Counting in Bipartite Networks
Seyed-Vahid Sanei-Mehri, Ahmet Erdem Sariyuce, Srikanta Tirthapura
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We consider the problem of counting motifs in bipartite affiliation networks, such as author-paper, user-product, and actor-movie relations. We focus on counting the number of occurrences of a "butterfly", a complete 2 ×2 biclique, the simplest cohesive higher-order structure in a bipartite graph. Our main contribution is a suite of randomized algorithms that can quickly approximate the number of butterflies in a graph with a provable guarantee on accuracy. An experimental evaluation on large real-world networks shows that our algorithms return accurate estimates within a few seconds, even for networks with trillions of butterflies and hundreds of millions of edges.
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