Intermediate Discrete Mathematics & Math
Q69 / 100

What is the chromatic number of a cycle graph C₅ (a 5-vertex cycle)?

Correct! Well done.

Incorrect.

The correct answer is B) 3

B

Correct Answer

3

Explanation

Odd cycles cannot be 2-colored because the last edge would force two adjacent vertices to share a color, but they can always be properly colored with 3 colors. So χ(C₅) = 3, while even cycles have χ = 2 (they are bipartite).

Progress
69/100