GATE 2014 [Set-2]
December 10, 2024
UGC NET CS 2008-june-Paper-2
December 11, 2024
GATE 2014 [Set-2]
December 10, 2024
UGC NET CS 2008-june-Paper-2
December 11, 2024

GATE 2008-IT

Question 4

What is the size of the smallest MIS(Maximal Independent Set) of a chain of nine nodes?

A
5
B
4
C
3
D
2
Question 4 Explanation: 
1 – 2 – 3 – 4 – 5 – 6 – 7 – 8 – 9
(2, 5, 8) is the maximal independent set for a chain of 9 nodes. If we add any start node to the set then it will not be MIS.
Independent set:
A set of vertices is called independent set such that no two vertices in the set are adjacent.
Correct Answer: C
Question 4 Explanation: 
1 – 2 – 3 – 4 – 5 – 6 – 7 – 8 – 9
(2, 5, 8) is the maximal independent set for a chain of 9 nodes. If we add any start node to the set then it will not be MIS.
Independent set:
A set of vertices is called independent set such that no two vertices in the set are adjacent.

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