A network with a large number of triangular relations, whose cluster coefficient could be controlled, was constructed in this study. The local dynamics of social balance in the triangle-growing networks was studied through computer simulations. The results show that the statistical features of the networks are approximately the same as the complete graph when the adding-link probability p_a≥0.5, and the evolution of the social balance is independent on the initial conditions; moreover, the system undergoes a dynamic phase transition when the transition probability p≥1/2. However, when the network is sparse, i.e. p_a<0.5, the final state of the system depends on the initial state and the system does not experience the dynamic phase transition.

triangle-growing networks  /  social balance  /  dynamics