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arXiv · 2307.15803

Coordination Sequences of Periodic Structures are Rational via Automata Theory

Eryk Kopczynski
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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.

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Eryk Kopczynski. 2023-07-28. Coordination Sequences of Periodic Structures are Rational via Automata Theory. https://doi.org/10.1107/s2053273322000262

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