Generation of Beta-Small-World Networks

This MATLAB implementation generates beta-small-world networks, a specialized network topology where most nodes are not direct neighbors but can be reached through a small number of connections. The algorithm constructs networks that model real-world phenomena such as disease propagation, social network structures, and internet connectivity patterns. The code implements the Watts-Strogatz model variant with beta parameter adjustment, allowing control over the network's randomness while maintaining high clustering coefficients and short average path lengths. Key functions include neighbor connection initialization, random rewiring procedures, and network property validation. Developed by LuoNa at East China University of Science and Technology (ECUST), this v1.0 release (May 30, 2007) provides fundamental infrastructure for studying small-world network properties and their applications across various scientific domains. The implementation includes parameter tuning for beta values to balance between regular lattice structures and random networks.