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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) 310I got this question in an international level competition.Enquiry is from Planarity, Degree and Coloring of Graph in section Graphs of Discrete Mathematics

Answer»

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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