Minimum Spanning Tree (MST): A Comprehensive Survey & Analysis

Abstract

The Minimum Spanning Tree (MST) problem is a fundamental optimization problem in computer science and graph theory, with applications in various domains such as network design, clustering, and resource allocation. In this paper, we explore and compare different algorithms for solving the MST problem. We discuss the key characteristics, complexities, and implementations of popular algorithms including Kruskal's Algorithm, Prim's Algorithm, Borůvka's Algorithm, and others. Overall, this paper serves as a comprehensive survey and analysis of different algorithms for solving the Minimum Spanning Tree problem, providing valuable insights for researchers, practitioners, and students in the field of algorithm design and graph theory.