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Surjective polymorphisms of reflexive cycles

Published 22 Jun 2022 in math.CO and cs.CC | (2206.11390v2)

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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