The chromatic number of random graphs


For a fixed probabilityp, 0<p<1, almost every random graphG n,p has chromatic number

$$\left( {\frac{1}{2} + o(1)} \right)\log (1/(1 - p))\frac{n}{{\log n}}$$


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Bollobás, B. The chromatic number of random graphs. Combinatorica 8, 49–55 (1988).

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