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If Cn is the nth cyclic graph, where n>3 and n is odd. Determine the value of X(Cn).

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If Cn is the nth cyclic graph, where n>3 and n is odd. Determine the value of X(Cn).

(a) 32572

(b) 16631

(c) 3

(d) 310

I got this question in an international level competition.

Enquiry is from Planarity, Degree and Coloring of Graph in section Graphs of Discrete Mathematics

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The correct answer is (c) 3

The explanation: Here n is odd and X(Cn)! = 2. Since there are two adjacent edges in Cn. Now, a graph coloring for Cn exists where vertices are colored red and blue alternatively and another edge is with a different colour say orange, then the value of X(Cn) becomes 3.

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