# Concept derivation guides

299 concept teaching guides, separate from the 36,000 individual question derivations.

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Concept guide



## [Excluding every two-color assignment on a triangle](/en/derivations/derivation-mko-chromatic-number-01/?from=%2Fen%2Fderivations%2F%3Fq%3Dmko-chromatic-number)

Prove chi=3 using an upper witness and complete lower-color search.

Chromatic number

derivation-mko-chromatic-number-01





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