Coordination sequences of periodic structures are rational via automata theory

Author:

Kopczyński Eryk

Abstract

The conjecture of Grosse-Kunstleve et al. [(1996), Acta Cryst. A52, 879–889], that coordination sequences of periodic structures in n-dimensional Euclidean space are rational, is proved. This has been recently proven by Nakamura et al. [(2021), Acta Cryst. A77, 138–148]; however, the proof presented here is a straightforward application of classic techniques from automata theory.

Publisher

International Union of Crystallography (IUCr)

Subject

Inorganic Chemistry,Physical and Theoretical Chemistry,Condensed Matter Physics,General Materials Science,Biochemistry,Structural Biology

Reference16 articles.

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