Geodesic
A Monte Carlo study of the dependence of the growth parameter for trees on the lattice dimension in the Eden model
Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 325-336 Cet article a éte moissonné depuis la source Math-Net.Ru

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We use the Monte Carlo method to compute the number of trees with n edges in the Eden model on $d$-dimensional simple cubic lattices for $d=2,3,4,6,8,10$. We compare these numbers with the exact data derived by the enumeration method up to $n=12$ on the square lattice and up to $n=10$ on the cubic lattice. We find that for $d\geq3$, the computed values of the growth parameter for trees agree with the values that we derived earlier by the expansion in inverse powers of $2d-1$. 
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     author = {V. E. Zobov and M. A. Popov},
     title = {A {Monte} {Carlo} study of the dependence of the growth parameter for trees on the lattice dimension in the {Eden} model},
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V. E. Zobov; M. A. Popov. A Monte Carlo study of the dependence of the growth parameter for trees on the lattice dimension in the Eden model. Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 325-336. http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a12/

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