COMPARATIVE ANALYSIS OF MINIMUM SPANING TREE

This project focuses on the comparative analysis of Minimum Spanning Tree (MST) algorithms, which are essential in solving network optimization problems such as communication, transportation, and circuit design. The study examines and compares the performance of three major MST algorithms Kruskal’s, Prim’s, and Borůvka’s algorithmsbased on factors such as time complexity, space efficiency, and implementation simplicity. Each algorithm was implemented and tested using different graph sizes and densities to evaluate their efficiency under varying conditions. The results show that Kruskal’s algorithm performs better in sparse graphs, while Prim’s algorithm is more efficient for dense graphs. Borůvka’s algorithm provides a good balance between both in distributed environments. The analysis provides insights into selecting the most suitable MST algorithm for specific applications in computer networking and optimization problems.