Implementation of Newman Algorithm for Zachary Network Partitioning in Complex Networks

In this documentation, we present the Newman algorithm for complex networks and its application to Zachary network partitioning. To demonstrate this process clearly, we provide two key files: the Newman_Zachary algorithm file and the Zachary-E experimental data file. The Newman_Zachary file contains the core implementation of the community detection algorithm using modularity optimization, featuring functions for calculating modularity gain and performing hierarchical clustering. The Zachary-E file contains the experimental dataset representing the well-known Zachary's karate club network, which serves as a standard benchmark for testing and evaluating community detection algorithms. Below we provide detailed explanations of the algorithm implementation steps, including matrix operations for modularity calculation and aggregation techniques for community merging, along with instructions for using the experimental data for performance testing and evaluation.