  We show that w.h.p the chromatic number $\chi$ of the square of
$G_{n,p},p=c/n$ is asymptotically equal to the maximum degree
$\Delta(G_{n,p})$. This improves an earlier result of Garapaty et al
\cite{KLMP} who proved that $\chi(G^2_{n,p})=\Theta
\left(\Delta(G_{n,p})\right)$.
