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arXiv · 1903.04054

Asymptotically faster algorithm for counting self-avoiding walks and self-avoiding polygons

Samuel Zbarsky
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Abstract

We give an algorithm for counting self-avoiding walks or self-avoiding polygons that runs in time $\exp(C\sqrt{n\log n})$ on 2-dimensional lattices and time $\exp(C_dn^{(d-1)/d}\log n)$ on $d$-dimensional lattices for $d>2$.

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Samuel Zbarsky. 2019-11-26. Asymptotically faster algorithm for counting self-avoiding walks and self-avoiding polygons. https://doi.org/10.1088/1751-8121%2Fab52b0

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