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arxiv: 0904.3977 · v4 · submitted 2009-04-25 · 🧮 math.CO

On the b-chromatic number of Kneser Graphs

classification 🧮 math.CO
keywords b-chromaticknesernumberaffirmativeanswerchooseconjectureequal
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In this note, we prove that for any integer $n\geq 3$ the b-chromatic number of the Kneser graph $KG(m,n)$ is greater than or equal to $2{\lfloor {m\over 2} \rfloor \choose n}$. This gives an affirmative answer to a conjecture of [6].

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