We employ large-scale quantum Monte Carlo simulations to study the magnetic ordering transition among dilute magnetic moments randomly localized on the graphene honeycomb lattice, induced by long-ranged RKKY interactions at low charge carrier concentration. In this regime the effective exchange interactions are ferromagnetic within each sublattice, and antiferromagnetic between opposite sublattices, with an overall cubic decay of the interaction strength with the separation between the moments. We verify explicitly, that this commensurability leads to antiferromagnetic order among the magnetic moments below a finite transition temperature in this two-dimensional system. Furthermore, the ordering temperature shows a crossover in its power-law scaling with the moments' dilution from a low-to a high-concentration regime.that pair-wise interactions are ferromagnetic (antiferromagnetic) among the same (different) sublattice on the bipartite honeycomb lattice of graphene.This means for the exchange couplings in Eq.(1), thatwith J > 0 and ǫ ij = −1 (+1) if i and j belong to the same (different) sublattice [10,11]. Here, r i denotes the (random) position of the i-th magnetic moment S i on the honeycomb lattice, which we consider to be spin-1 2