The Classic BA Scale-Free Network Model in Complex Networks with MATLAB Implementation

Complex networks refer to networks with irregular, non-uniform, highly complex and ambiguous structures. The BA scale-free network model is one of the most classical complex network models, holding significant importance in scientific research and practical applications. To facilitate better research and understanding of complex networks, we provide MATLAB-based source code for the BA scale-free network model. The implementation features degree calculation algorithms using adjacency matrix representation and follows the preferential attachment mechanism where new nodes connect to existing nodes with probability proportional to their degrees. This practical codebase employs efficient matrix operations for network growth simulation and includes functions for analyzing degree distribution patterns. Utilizing this network model not only enhances the understanding of complex networks but also provides valuable references for research in other related fields through its modular implementation of network generation and analysis algorithms.