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Algorithms
October 12, 2023
Algorithms
October 12, 2023
Algorithms
October 12, 2023
Algorithms
October 12, 2023

GATE 2005-IT

Question 14

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
Question 14 Explanation: 
In a graph G with n vertices and p component then G has n – p edges(k).
In this question, we are going to applying the depth first search traversal on each component of graph where G is connected (or) disconnected which gives minimum spanning tree
i.e., k = n-p
p = n – k
Correct Answer: D
Question 14 Explanation: 
In a graph G with n vertices and p component then G has n – p edges(k).
In this question, we are going to applying the depth first search traversal on each component of graph where G is connected (or) disconnected which gives minimum spanning tree
i.e., k = n-p
p = n – k

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