Coordination Sequences of Periodic Structures are Rational via Automata Theory

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.

References in corpus (1)

• A Coloring Book Approach to Finding Coordination Sequences