What are the differences and trade-offs between various dynamic programming algorithms like the Floyd-Warshall algorithm and Dijkstra's algorithm?
Answer 1
Jennifer Jones
Floyd-Warshall algorithm computes shortest paths between all pairs of nodes in O(V^3) time, ideal for dense graphs. Dijkstra’s algorithm finds the shortest path from a single source to all nodes in O(V^2) or O(E + V log V) with a priority queue, suitable for sparse graphs. Trade-offs involve complexity and graph density.
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