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What will be the chromatic index for a complete graph having n vertices (consider n to be an odd number)?

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What will be the chromatic index for a complete graph having n vertices (consider n to be an odd number)?

(a) n

(b) n + 1

(c) n – 1

(d) 2n + 1

I have been asked this question by my college professor while I was bunking the class.

The above asked question is from Graph Coloring topic in division Graph Coloring of Data Structures & Algorithms II

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The correct option is (a) n

Best explanation: A complete graph is the one in which each vertex is directly connected with all other vertices with an edge. The chromatic index for an odd number of vertices will be n.

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