The chromatic number of \(K^{2}(9,4)\) is 11

In 2004, Kim and Nakprasit showed that the chromatic number of \( K_2(9,4) \) is at least 11. In this note we present an 11-coloring for \( K^2(9,4) \) (the square of the Kneser graph \( K(9,4) \)). This proves that the chromatic number of \( K^2(9,4) \) is 11.