Complex Networks Feature: Power Law Distribution Characteristics

Complex networks refer to networks composed of large numbers of nodes and connections, where the characteristics and patterns of nodes and connections are highly intricate. One significant feature is their adherence to power law distribution, meaning that a few nodes possess an extremely large number of connections while the majority of nodes have only very few connections. This software provides MATLAB simulation programs for power law distribution, featuring implementations using degree distribution algorithms and network generation functions. These simulations can model and analyze complex network characteristics such as node degree distribution, clustering coefficients, and network diameter. The code includes functions for calculating probability distributions and statistical properties using maximum likelihood estimation methods. These analyses help researchers better understand and apply complex networks in various domains including social networks, transportation networks, and power grid systems, with the implementation supporting both theoretical research and practical applications through customizable parameter settings and visualization tools.