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How many unique colors will be required for proper vertex coloring of a complete graph having n vertices?

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in Data Structures & Algorithms II by (89.2k points)
How many unique colors will be required for proper vertex coloring of a complete graph having n vertices?

(a) 0

(b) 1

(c) n

(d) n!

I had been asked this question in class test.

This intriguing question comes from Graph Coloring topic in division Graph Coloring of Data Structures & Algorithms II

1 Answer

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Best answer
The correct answer is (c) n

The best explanation: A complete graph is the one in which each vertex is directly connected with all other vertices with an edge. So the number of unique colors required for proper coloring of the graph will be n.

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