Compsci 330: Design and Analysis of Algorithms Dynamic Programming
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چکیده
We begin with trying to find the shortest path in a directed acyclic graph (DAG). Recall that a DAG has directed edges and contains no cycles. Recall the definition of a topological sort: Definition 1. Let G = (V,E) be a graph. Let v1, . . . ,vn be an ordering of the vertices in V . v1, . . . ,vn are in topologically sorted order if for all edges (vi,v j) ∈ E, i < j. If G is a DAG, then it is always possible to find a topological sorting of the vertices. This ordering is not necessarily distinct. Consider some shortest path on the DAG:
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تاریخ انتشار 2016