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Asymptotically faster algorithm for counting self-avoiding walks and self-avoiding polygons
March 10, 2019 Β· Declared Dead Β· π Journal of Physics A: Mathematical and Theoretical
"No code URL or promise found in abstract"
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Authors
Samuel Zbarsky
arXiv ID
1903.04054
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cond-mat.stat-mech
Citations
3
Venue
Journal of Physics A: Mathematical and Theoretical
Last Checked
4 months ago
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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