An Analytical Study of Graph Algorithms: An Overview of Graph Theory

Abstract

Graph theory is a fundamental branch of mathematics with diverse applications in computer science and various other fields. This research provides an analytical overview of essential graph algorithms, focusing on the Depth-First Search, Breadth-First Search, Prim's algorithm, and Kruskal's algorithm for finding minimum spanning trees. Through an in-depth exploration of these algorithms, this study aims to shed light on their principles, advantages, and applications. The insights gained from this research can be valuable in solving real-world problems that involve networks and optimization.