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arXiv · 2206.11390

Surjective polymorphisms of reflexive cycles

Isabelle Larivière·Benoit Larose·David Emmanuel Pazmiño Pullas
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Abstract

A reflexive cycle is any reflexive digraph whose underlying undirected graph is a cycle. Call a relational structure Slupecki if its surjective polymorphisms are all essentially unary. We prove that all reflexive cycles of girth at least 4 have this property.

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Isabelle Larivière, Benoit Larose, David Emmanuel Pazmiño Pullas. 2022-07-12. Surjective polymorphisms of reflexive cycles. https://arxiv.org/abs/2206.11390

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