Exact enumeration of self-avoiding walks

Details Exact enumeration of self-avoiding walks Exact enumeration of self-avoiding walks

2011-04-12

arxiv.org/abs/1104.2184v1

Physics

Mathematical Physics

6 pages, 1 figure

Scientific paper

A prototypical problem on which techniques for exact enumeration are tested
and compared is the enumeration of self-avoiding walks. Here, we show an
advance in the methodology of enumeration, making the process thousands or
millions of times faster. This allowed us to enumerate self-avoiding walks on
the simple cubic lattice up to a length of 36 steps.

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