A Social Network Model Based on Caveman Network

The study suggests a model for social network based on a caveman network. The model we propose can fit the following two properties: (1) `small-world property´ which has high clustering coefficient, and (2) `scale-free property´ which has power law degree distribution. In addition, the model is modified to match the s-metric property. The s-metric property provides a new viewpoint of scale-free network which was proposed last year. In this study, we calculate the s_max in two ways: one is `simple graph´ and another is not limited to simple graph. We believe `simple graph´ is reasonable in s_max property for social network.