The Floyd-Warshall algorithm is a dynamic programming technique used to find the shortest paths between all pairs of vertices in a weighted graph. This algorithm is particularly useful for graphs with dense connections and can handle both positive and negative edge weights, though it cannot handle negative cycles. Learn how to use the Floyd - Warshall algorithm to find the shortest path between all vertices in a weighted graph. See the algorithm steps, pseudocode, implementation and examples in C programming language. You are given an weighted directed graph, represented by an adjacency matrix, dist[][] of size n x n, where dist[i][j] represents the weight of the edge from node i to node j. If there is no direct edge, dist[i][j] is set to a large value (i.e., The Floyd-Warshall algorithm is a powerful tool used in computer science to find the shortest paths between all pairs of nodes in a weighted graph. This algorithm is particularly useful when you need to know the shortest path for every possible pair of nodes, making it a key technique in solving all-pairs shortest path problems. Let’s learn how the Floyd-Warshall algorithm works and where it can be applied.

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