Shortest Path Algorithms: Dijkstra, Bellman-Ford, Floyd-Warshall

Graph theory is a cornerstone of computer science, and finding the shortest path between two points is a fundamental challenge with widespread applications. This course equips you with the essential algorithms to tackle these problems effectively. By the end of this course, you will possess a solid understanding of classic shortest path algorithms, enabling you to analyze graph structures, select the appropriate algorithm, and implement solutions for diverse real-world scenarios. What you'll learn: * Understand fundamental graph theory concepts, including representation and properties. * Learn Dijkstra's algorithm for single-source shortest paths on graphs with non-negative edge weights. * Implement Bellman-Ford algorithm to find shortest paths in graphs containing negative edge weights. * Apply the Floyd-Warshall algorithm for determining all-pairs shortest paths in a graph. * Analyze the time and space complexity of each algorithm to select the most efficient solution. * Practice solving various shortest path problems through detailed examples and exercises. The course progresses from foundational graph concepts and representations to a deep dive into each shortest path algorithm, explaining its principles, implementation details, and use cases. You will then apply your knowledge to solve practical problems. This course is designed for beginners in computer science or programming with a basic understanding of data structures. No prior experience with graph algorithms is required. Embark on your journey to master shortest path algorithms and enhance your problem-solving skills.