Kruskal's Algorithm for Minimum Spanning Tree with MATLAB Implementation
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This article presents a comprehensive MATLAB implementation of Kruskal's algorithm for constructing minimum spanning trees. Minimum spanning tree algorithms solve connectivity problems in graphs by creating trees that connect all nodes with minimal total edge weight. Kruskal's algorithm employs a greedy approach, systematically adding edges to build the optimal spanning tree. Our implementation includes key components such as edge sorting, union-find data structure for cycle detection, and weight-based edge selection. The code demonstrates practical techniques for handling graph data structures, implementing efficient sorting mechanisms using MATLAB's built-in functions, and managing disjoint sets through union-find operations. This implementation serves as both an educational tool for understanding minimum spanning tree algorithms and a practical reference for future coding projects involving graph theory and optimization problems.
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