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Feb 25, 2017 at 21:15 comment added user36212 $G(n,1/2)$ has clique number asymptotically $2\log n$, which is of the order $\log n$ (as Ben Barber points out) but the factor $2$ is important here.
Feb 24, 2017 at 9:40 comment added karpasi What you wrote is untrue beacuse of the example of a random graph with probability $\frac{1}{2}$ that he gave. The chromatic number is $n/\log{n}$, and the right side in your first inequality is something like $\sqrt{n}$.
Feb 23, 2017 at 22:59 history answered user36212 CC BY-SA 3.0