A Minimum Spanning Tree (MST) is a Fundamenta...

A Minimum Spanning Tree (MST) is a Fundamental Structure in Graph Theory

Author Name : Mr. Naresh Kumar, Ms. Kamlesh Kumari, Ms. Roshani

ABSTRACT A Minimum Spanning Tree (MST) is a fundamental structure in graph theory, connecting all vertices of a graph with the minimum possible total edge weight and no cycles. This paper provides an in-depth study of MSTs, exploring their definitions, algorithms for construction, and practical applications in fields such as network design, clustering, and approximation algorithms. Additionally, we discuss advanced topics such as dynamic MSTs and parallel algorithms, highlighting their significance in handling large-scale problems.