Number of spiral self-avoiding loops on a triangular lattice
- 21 October 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (15) , 3093-3095
- https://doi.org/10.1088/0305-4470/19/15/031
Abstract
Exact results are derived for the number Cn of spiral self-avoiding loops with n steps on a triangular lattice. A closed-form expression for the generating function G(x)= Sigma n=1infinity Cnxn is obtained. For n to infinity , Cn increases as n6/31 104.Keywords
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