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Most Efficient Time Complexity of Topological Sorting is? (V – number of vertices, E – number of edges)

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Most Efficient Time Complexity of Topological Sorting is? (V – number of vertices, E – number of edges)

(a) O(V + E)

(b) O(V)

(c) O(E)

(d) O(V*E)

The question was asked in a job interview.

This intriguing question comes from Topological Sort topic in division Miscellaneous of Data Structures & Algorithms II

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The correct choice is (a) O(V + E)

Explanation: The topological sort algorithm has complexity same as Depth First Search. So, DFS has a complexity O(V+E).

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