Coordination Sequences of Periodic Structures are Rational via Automata Theory
Formal Languages and Automata Theory
2023-08-01 v1 Combinatorics
Abstract
We prove the conjecture of Grosse-Kunstleve et al. that coordination sequences of periodic structures in n-dimensional Euclidean space are rational. This has been recently proven by Nakamura et al.; however, our proof is a straightforward application of classic techniques from automata theory.
Keywords
Cite
@article{arxiv.2307.15803,
title = {Coordination Sequences of Periodic Structures are Rational via Automata Theory},
author = {Eryk Kopczynski},
journal= {arXiv preprint arXiv:2307.15803},
year = {2023}
}