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Question 9778 – Graph-Theory
February 2, 2024
Programming
February 2, 2024
Question 9778 – Graph-Theory
February 2, 2024
Programming
February 2, 2024

GATE 2002

Question 25

Maximum number of edges in a n-node undirected graph without self loops is

A
n2
B
n(n-1)/2
C
n-1
D
(n+1)(n)/2
Question 25 Explanation: 
The set of vertices has size n, the number of such subsets is given by the binomial coefficient C(n, 2)⋅ C(n, 2) = n(n-1)/2.
Correct Answer: B
Question 25 Explanation: 
The set of vertices has size n, the number of such subsets is given by the binomial coefficient C(n, 2)⋅ C(n, 2) = n(n-1)/2.

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