Graph Theory
The Bellman-Ford algorithm is a graph search algorithm that calculates the shortest path from a single source vertex to all other vertices in a weighted graph, including those with negative edge weights. This algorithm is particularly useful in scenarios where some edges can have negative weights, as it can detect negative cycles and thus determine the feasibility of shortest paths. The Bellman-Ford algorithm operates efficiently even with graphs containing many edges, making it essential for various applications in transportation and communication networks.
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