GATE | GATE CS 2018 | Question 12

The chromatic number of the following graph is _________ .

Note – This was Numerical Type question.

(A) 2
(B) 4
(C) 3
(D) 5


Answer: (C)

Explanation: Chromatic number of given graph is 3.

Note that graph is Planar so Chromatic number should be less than or equal to 4 and can not be less than 3 because of odd length cycle. In other words if a graph is planar and has odd length cycle then Chromatic number can be either 3 or 4 only.

Refer this : https://www.geeksforgeeks.org/graph-coloring-applications/

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