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

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

(a) n

(b) n + 1

(c) n – 1

(d) 2n + 1

The question was asked during an interview for a job.

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

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Correct option is (c) n – 1

The 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 even number of vertices will be n-1.

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