Enumeration of directed site animals on two-dimensional lattices
- 1 June 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (6) , L279-L284
- https://doi.org/10.1088/0305-4470/15/6/006
Abstract
Studies the problem of directed site animals on the square, triangular and hexagonal lattices. Closed form expressions are proposed for A(s), the number of animals of size s, on the square and triangular lattices. These expressions have been checked for s2 s-0 for large s, where lambda =3 for the square lattice, and lambda =4 for the triangular, and theta =1/2 for both. For the hexagonal lattice, A(s) is found for s1/2.Keywords
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