Generating Network Graphs with MATLAB: A Comprehensive Guide

The main program calls the `tu_plot` function to generate a network graph. This implementation requires two primary inputs: the adjacency matrix (which can be in sparse or full matrix format) and a boolean flag indicating whether the graph is directed. Before executing the function, users should verify that the adjacency matrix is properly formatted with dimensions N×N for N nodes, where non-zero entries represent connections. The algorithm automatically handles node positioning using force-directed layout methods, while supporting customization through optional parameters like node size (default: 7 points), edge width (default: 1.5 points), and color schemes (default: blue edges for undirected, red arrows for directed graphs). For enhanced functionality, developers can extend the code by modifying the edge curvature calculation for directed graphs or implementing weighted edge visualization through line thickness mapping. The visualization leverages MATLAB's graph theory toolbox functions like `digraph` for directed networks and `graph` for undirected networks, with automatic handling of self-loops and parallel edges. Network graphs serve as powerful tools for visualizing complex relationships in domains including social network analysis (community detection), biological systems (protein interactions), and computer science (network topology). The implementation includes error checking for matrix symmetry validation in undirected graph cases and provides interactive node labeling when the MATLAB figure window is active.