EDSS: An extended deterministic scale-free small world network

One of the most important challenges in social network models is dissimilarity of proposed models with real networks. In this article we proposed a new small world model generator based on binary trees that simulate family and human ties. In reality family such as father, children, and grandchildren makes a path between grandfather and grandchildren. We used this property to adopt effective parameters of proposed model with real networks. Proposed model implemented in Gephi analysis and visualization software and as the result the generated graph is compared with some of the recent models.