The Degree Distribution of a Multi-community Bipartite Network with Both Growing and Rewiring Dynamics

Many real-world networks appear with community structure, and evolve with both growing and rewiring dynamics. Although some empirical investigations show the universal power law distribution in each community of such real-world networks, the study on the degree distribution in each community with both growing and rewiring dynamics lacks. In this paper, we construct a multi-community bipartite network model with both growing and rewiring dynamics. The growing rate and rewiring rate in each community evolve with time due to the interacting of communities. We find that the steady degree distribution in each community of the multi-community bipartite network model is equivalent to that in a bipartite network model without community structure.