We extend the Eden model to the binary system of two kinds of sites with di
fferent noise reduction parameters n and m (greater than or equal to n). Th
e new model called binary Eden model connects the original Eden model (n =
m = 1) to the percolation model (n = 1 and m = infinity). From our numerica
l simulation on a square lattice of a lattice edge width L, the surface wid
th W(L,m) is found to satisfy the scaling relation at the percolation thres
hold concentration. Moreover, the surface length s(L,m) is also found to ob
ey the same type scaling relation. (C) 1999 Elsevier Science B.V. All right
s reserved.