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updates | April 19, 2026

Chromatic Number of Trees

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All trees with more than one vertex have the same chromatic number. What is it & Why?

(Is this chromatic number by any chance 2, by definition of what a tree is? Since a tree is acyclic and connected, I think it would have a chromatic number that is strictly one less than 3, which is what a cycle would have to have)

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1 Answer

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Trees are bipartite graphs so you can always color them properly with two colors.

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