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Data Structures | Graph | Question 4

The most efficient algorithm for finding the number of connected components in an undirected graph on n vertices and m edges has time complexity.

(A)



theta(n)

(B)



theta(m)

(C)

theta(m + n)

(D)

theta(mn)


Answer: (C)
Explanation:

Connected components can be found in O(m + n) using Tarjan’s algorithm. Once we have connected components, we can count them.

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