GATE 2007
December 31, 2024Computer-Graphics
January 1, 2025Data-Structures
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Question 93
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How many edges are there in a forest with p components having n vertices in all?
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n-p
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Question 93 Explanation:
Forest is a graph with no cycle.
Now, ‘0’ edges for p-1 vertices (p-1 components) and n-p edges for n-p+1 vertices (1 component).
So, total of n-p edges for p components.
Now, ‘0’ edges for p-1 vertices (p-1 components) and n-p edges for n-p+1 vertices (1 component).
So, total of n-p edges for p components.
Correct Answer: A
Question 93 Explanation:
Forest is a graph with no cycle.
Now, ‘0’ edges for p-1 vertices (p-1 components) and n-p edges for n-p+1 vertices (1 component).
So, total of n-p edges for p components.
Now, ‘0’ edges for p-1 vertices (p-1 components) and n-p edges for n-p+1 vertices (1 component).
So, total of n-p edges for p components.