Overview

The shortest path problem is a fundamental concept in graph theory. It involves finding the shortest path between nodes in a graph.

What is the Shortest Path Problem?

The shortest path problem seeks to find the minimum-cost path between two nodes in a graph. Common applications include:

• GPS navigation systems.
• Network routing.
• Game development (pathfinding for characters).

Types of Shortest Path Algorithms:

• Single-source shortest path: Finds paths from one node to all others (e.g., Dijkstra, Bellman-Ford).
• All-pairs shortest path: Finds paths between every pair of nodes (e.g., Floyd-Warshall).