MATLAB Implementation of Small-World and Scale-Free Networks

This document provides comprehensive MATLAB code for generating small-world and scale-free networks, along with computational methods for analyzing degree distributions and clustering coefficients. The implementation utilizes established algorithms including Watts-Strogatz model for small-world networks and Barabási-Albert model for scale-free networks. Key functions include network generation with configurable parameters, degree distribution calculation using histogram-based methods, and clustering coefficient computation through neighbor connectivity analysis. The codebase incorporates optimization techniques for efficient large-scale network processing and includes error handling for parameter validation. Detailed documentation accompanies the code to explain implementation logic, parameter tuning guidelines, and algorithmic approaches. This resource serves as both an educational tool for understanding network structures and a foundational framework for advanced research applications. All algorithms have been verified for accuracy and reliability against standard network theory benchmarks.