Scaling Laws of Self-organized Communication Networks: Throughput Capacity

This chapter investigates the capacity scaling laws of wireless social networks, addressing the critical intersection of physical communication constraints and social interaction patterns. To accurately capture realistic network dynamics, we propose a three-layered framework consisting of physical, social, and session layers. A novel “population-based formation model” is introduced, utilizing clustering exponents ( \(\gamma , \beta \) ) to account for distance and node density in friendship formation. The chapter is structured to first define the comprehensive system model and derive the general density function for social relationships. It then proceeds to analyze the social-broadcast capacity for homogeneous physical layers, establishing both upper and lower bounds under generalized interference models. Finally, the text addresses the limitations of homogeneity by introducing the “Center-Clustering Random Model” (CCRM), which incorporates a node distribution exponent ( \(\delta \) ) to reflect physical inhomogeneity, paving the way for future analysis in a 3-dimensional parameter space.