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Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices

I Jensen et al 1998 J. Phys. A: Math. Gen. 31 8137-8145   doi: 10.1088/0305-4470/31/40/008  Help

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I Jensen and A J Guttmann
Department of Mathematics and Statistics, The University of Melbourne Parkville, Victoria 3052, Australia

Abstract. We study self-avoiding and neighbour-avoiding walks and lattice trails on two semiregular lattices, the lattice and the lattice. For the lattice we find the exact connective constant for both self-avoiding walks, neighbour-avoiding walks and trails. For the lattice we generate long series which permit the accurate estimation of the connective constant for self-avoiding walks and trails.

Print publication: Issue 40 (9 October 1998)
Received 22 May 1998

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