N-body decomposition of bipartite author networks.
In this paper, we present a method to project co-authorship networks, that accounts in detail for the geometrical structure of scientists' collaborations. By restricting the scope to three-body interactions, we focus on the number of triangles in the system, and show the importance of multi-scientist (more than two) collaborations in the social network. This motivates the introduction of generalized networks, where basic connections are not binary, but involve arbitrary number of components. We focus on the three-body case and study numerically the percolation transition.
SUPRATECS, Université de Liège, B5 Sart-Tilman, B-4000 Liège, Belgium. renaud.lambiotte@ulg.ac.be
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