Induced forests and trees in Erdös–Rényi random graph

We prove concentration in the interval of size $o\left(1/p\right)$ for the size of the maximum induced forest (of bounded and unbounded degree) in $G\left(n,p\right)$for$C_{\epsilon } /n<p<1-\epsilon$ for arbitrary fixed $\epsilon >0$. We also show 2-point concentration of the size of the maximum induced forest (and tree) of bounded degree in the binomial random graph $G\left(n,p\right)$for $p = const$