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The chromatic number of star graph with 3 vertices is greater than that of a complete graph with 3 vertices.

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in Data Structures & Algorithms II by (89.2k points)
The chromatic number of star graph with 3 vertices is greater than that of a complete graph with 3 vertices.

(a) True

(b) False

The question was posed to me in an interview.

This key question is from Graph Coloring topic in division Graph Coloring of Data Structures & Algorithms II

1 Answer

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Correct answer is (b) False

Easy explanation - The chromatic number of a star graph is always 2 (for more than 1 vertex) whereas the chromatic number of complete graph with 3 vertices will be 3. So chromatic number of complete graph will be greater.

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