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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) θ(n) (B) θ(m) (C) θ(m + n) (D) θ(mn)
  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    D
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The most efficient algorithm for finding the number of connected compo...
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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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) θ(n) (B) θ(m) (C) θ(m + n) (D) θ(mn)a)Ab)Bc)Cd)DCorrect answer is option 'C'. Can you explain this answer?
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