Nonrandom behavior in the Projection of Random bipartite networks

There are two main categories of networks that are investigated in the complexity physics community: monopartite and bipartite networks. In this letter, we report a general finding between these two classes. If a random bipartite network is projected into a monopartite network, under quite general conditions, we obtain a non-random monopartite network with special features. We believe this finding is very general and has important real-world implications.