English

Surjective polymorphisms of reflexive cycles

Combinatorics 2022-07-14 v2 Computational Complexity

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.

Keywords

Cite

@article{arxiv.2206.11390,
  title  = {Surjective polymorphisms of reflexive cycles},
  author = {Isabelle Larivière and Benoit Larose and David Emmanuel Pazmiño Pullas},
  journal= {arXiv preprint arXiv:2206.11390},
  year   = {2022}
}
R2 v1 2026-06-24T12:00:53.487Z