Shortest Path Algorithms to Find Optimal Path Using Graph Theory

Abstract Graph theory offers a versatile framework for modeling and solving optimization problems, particularly in the domain of transportation. This paper explores the application of graph theory to shortest path algorithms, focusing on finding optimal routes for transportation networks. By representing transportation systems as graphs, where nodes represent locations and edges represent connections with associated costs, we leverage algorithms such as Dijkstra's to determine the most efficient paths. This approach enables us to analyze and improve the performance of transportation systems, ultimately minimizing travel time and costs. This paper delves into the fundamental concepts, algorithms, and practical implications of using graph theory to solve shortest path problems in transportation