Lower bounds on the numbers of lattice animals
- 1 July 1978
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (7) , 1449-1453
- https://doi.org/10.1088/0305-4470/11/7/031
Abstract
Rigorous lower bounds on the connective constants for site and bond animals have been derived for d-dimensional simple hypercubic lattices. These bounds establish for arbitrary d that the connective constants for site and bond animals are strictly greater than the connective constant for self-avoiding walks.Keywords
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