Minimal Vertices
Application of Topological Sort, Strongly Connected Components and Tarjan's Algorithm

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Problem Statement:
Given a directed graph G , find the minimum number of vertices from which all nodes are reachable.
For example:
0<1 _ \ / _\ / 2  \ / 3 _ / \ /_ \ 4>5
The above graph would have only one 1 minimal vertex: either vertex 1, 2 or 3. You can reach all the vertices if you 'start traversing from either vertex 1 , 2 or 3.
0<1 _ \ / _\ / 2 / \  3  \ / 6 _ / \ /_ \ 4>5For the above graph all the nodes are reachable from vertex 3.
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Solution:
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Don't forget to take a look at other interesting Graph Problems:
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