Abstract
Which social network structures are suitable for diffusion of innovation, new products, or new convention? There are many papers to answer this question. The main stream of the study is to find the relationship between social network structure and diffusion rate of innovation. In this paper we show relation between network structure and cascade phenomena and three characteristic elements（maximum eigenvalue of adjacency matrix of the social network, the number of innovator and the deployment of innovator）decide the dynamics of cascade phenomena.
