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BFS, DFS, DAGs, Topological sorting, and Dijkstra

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What are the feature differences/tradeoff between Breath First search(BFS), Depth-Fisrt-Search(DFS), Directed Acyclic Graphs(DAGs), Topological sorting and Dijkstra?

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The solution discusses feature differences and tradeoffs.

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Depth-first search (DFS) is memory efficient, but typically finds goal states only very deep in the search space which leads to very long counterexamples.

Breadth-first search (BFS) is complete and can provide shortest counterexamples. However,
BFS is in general too memory inefficient to be applied to models of realistic size.

In graph theory, a topological sort of a directed acyclic graph (DAG) is a linear ordering of its nodes which is compatible with the partial order R induced on the nodes where x comes before y ...

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