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Topological sorting can be used to schedule tasks under precedence constraints. Suppose we have a set of tasks to do, but certain tasks have to be performed before other tasks. These precedence constraints form a directed acyclic graph, and any topological sort (also known as a linear extension ) defines an order to do these tasks such that ...

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Data structures: binary search trees, heaps, hash tables. Algorithm design techniques: divide-and-conquer, dynamic programming, greedy algorithms, amortized analysis, randomization. Algorithms for fundamental graph problems: minimum-cost spanning tree, connected components, topological sort, and shortest paths.

Topological sort is the ordering vertices of a directed, acyclic graph(DAG), so that if there is an arc from vertex i to vertex j, then i appears before j in the linear ordering. C Program.

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Jul 22, 2020 · For example:- A topological sorting of the following graph is "5 4 2 3 1 0". There can be more than one topological sorting for a graph. For example, another topological sorting of the following graph is "4 5 2 3 1 0". The first vertex in topological sorting is always a vertex with in-degree as 0 (a vertex with no incoming edges).

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Base Package: mingw-w64-python-toposort Implements a topological sort algorithm (mingw-w64)

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Puzzle: When this directed graph constitutes a ring, it will make the value infinitely large, so first use topological sort to determine if there is no ring, if there is a direct output 1, if there is no ring then use the tree DP and memory number, to find the maximum value.