Bounds on connective constants for self-avoiding walks

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, , Citation A J Guttmann 1983 J. Phys. A: Math. Gen. 16 2233 DOI 10.1088/0305-4470/16/10/021

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1 Dept. of Maths., Statistics & Computer Sci., Univ. of Newcastle, Newcastle, NSW, Australia

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0305-4470/16/10/2233

Abstract

New lower bounds on the connective constant of the square and simple cubic lattice self-avoiding walks are obtained, by enumerating a particular subset of self-avoiding walks and using a result of Kesten. The author finds mu (sq)>2.5680 and mu (SC)>4.352.

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