A collaboration-competition network model for teachers based on BA growing networks

Based on the development mechanism of BA growing networks, by a bipartite graph a model has been given which aims at a stationary growing social collaboration-competition network about teachers. In this model the nodes are endowed with competition. The degree distribution which obeys power-law form has been proved, and the simulation result is in agreement with the theoretic calculation. Both the clustering coefficient calculated by dynamic equation and the average path length obtained by statistic make this network have a small-world effect. The topological structure can provide some useful information to the policymakers of schools.