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arXiv · 1711.09687

A combinatorial model for tame frieze patterns

Michael Cuntz
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Abstract

Let $R$ be an arbitrary subset of a commutative ring. We introduce a combinatorial model for the set of tame frieze patterns with entries in $R$ based on a notion of irreducibility of frieze patterns. When $R$ is a ring, then a frieze pattern is reducible if and only if it contains an entry (not on the border) which is $1$ or $-1$. To my knowledge, this model generalizes simultaneously all previously presented models for tame frieze patterns bounded by $0$'s and $1$'s.

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Michael Cuntz. 2018-07-10. A combinatorial model for tame frieze patterns. https://arxiv.org/abs/1711.09687

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