GATE | GATE-CS-2002 | Question 4

The minimum number of colours required to colour the vertices of a cycle with η nodes in such a way that no two adjacent nodes have the same colour is
(A) 2
(B) 3
(C) 4
(D) n – 2⌊n/2⌋ + 2

Answer: (D)

Explanation: We need 3 colors to color a odd cycle and 2 colors to color an even cycle.

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