Departamento de F́ısica- Universidade Federal de Viçosa, 36571-000, Viçosa,

doi:10.1088/1742-5468/2012/10/P10011 Abstract. We present large-scale simulations of radial Eden clusters in three-dimensions and show that the growth exponent is in agreement with the value β = 0.242 accepted for the Kardar-Parisi-Zhang (KPZ) universality class. Our results refute a recent assertion proposing that radial Eden growth in d = 3 belongs to a universality class distinct from KPZ. We associate the previously reported discrepancy to a slow convergence to the asymptotic limit. We also present the skewness and kurtosis in the roughening regime for flat geometry in 2+1 dimensions. The Kardar-Parisi-Zhang (KPZ) universality class was introduced by the equation [1] ∂h ∂t = ν∇2h+