Tag: shortest path algorithm
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Graphs : Dijkstra Algorithm
Dijkstra’s algorithm is a fundamental graph traversal technique used to find the shortest path from a single source node to all other nodes in a weighted graph. Developed by Edsger W. Dijkstra in 1956, the algorithm operates efficiently by iteratively exploring the least-cost paths. It is widely employed in network routing, GPS navigation, and resource…
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Graphs : Beelman Ford Algorithm
The Bellman-Ford algorithm is a powerful graph-based algorithm used to find the shortest paths from a single source vertex to all other vertices in a weighted graph. Unlike Dijkstra’s algorithm, Bellman-Ford can handle graphs with negative weight edges, making it a versatile choice for a wide range of applications. However, it cannot work with graphs…
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Graphs : A* Algorithm
The A* algorithm is a widely used graph traversal and search algorithm, ideal for finding the shortest path between two nodes. It combines the strengths of Dijkstra’s algorithm and Greedy Best-First Search by using a heuristic to guide its search, making it both efficient and optimal. Commonly utilized in navigation systems, robotics, and artificial intelligence,…