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In a depth-first traversal of a graph G with n vertices, K edges are marked as tree edges. The number of connected components in G is
  • a)
    k
  • b)
    k+1
  • c)
    n-k-1
  • d)
    n-k
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a depth-first traversal of a graph G with n vertices, K edges are m...
Tree edges are the edges that are part of DFS tree.  If there are x tree edges in a tree, then  x+1 vertices in the tree.
The output of DFS is a forest if the graph is disconnected.  Let us see below simple example where graph is disconnected.
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In a depth-first traversal of a graph G with n vertices, K edges are marked as tree edges. The number of connected components in G isa)kb)k+1c)n-k-1d)n-kCorrect answer is option 'D'. Can you explain this answer?
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