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We prove concentration in the interval of sizeo1/pfor the size of the maximum induced forest (of bounded and unbounded degree) inGn,pforCε/np1−εfor arbitrary fixedε0. We also show 2-point concentration of the size of the maximum induced forest (and tree) of bounded degree in the binomial random graphGn,pforp=const
Akhmejanova et al. (Fri,) studied this question.