Dynamic Programming and Directed Acyclic Graphs (DAGs)
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In this lecture we are going to discuss the relationship between Dynamic Programming and Directed Acyclic Graphs (DAGs). We can always transform dynamic programming problems into graphs (or hypergraphs). These graphs are acyclic.
Why do we like DAGs? Because we can perform shortest path algorithms in O(V+E) linear running time with depth-first search (DFS). So this is why it is crucial to study the connection between dynamic programming and DAGs because sometimes we can solve problems way faster than the standard approaches.
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