Optimization based modeling of social network

Abstract

We classify networks with two categories: functional networks and non-functional networks. Biological networks and artificial networks belong to the functional network and Social networks belong to non-functional networks. In the evolution of non-functional networks, the clustering coefficient plays a crucial role. We model the non-functional network with optimization of clustering coefficient. In result, hubs and power-law degree distribution emerge in the optimization process. Power-law decay in clustering coefficient distribution implies hierarchical organization.