GATE | Gate IT 2008 | 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


Answer: (C)

Explanation: A set of vertices is called independent set such that no two vertices in the set are adjacent. A maximal independent set (MIS) is an independent set which is not subset of any other independent set.

The question is about smallest MIS. We can see in below diagram, the three highlighted vertices (2nd, 5th and 8th) form a maximal independent set (not subset of any other MIS) and smallest MIS.

0----0----0----0----0----0----0----0----0


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