A reflexive digraph that is retraction trivial but not endomorphism trivial

Mark Siggers

doi:10.1016/j.disc.2021.112713

A reflexive digraph that is retraction trivial but not endomorphism trivial

Mark Siggers

Research output: Contribution to journal › Article › peer-review

Abstract

In this note we give an example of a reflexive digraph that has no non-trivial retractions, but does have non-trivial endomorphisms.

Original language	English
Article number	112713
Journal	Discrete Mathematics
Volume	345
Issue number	3
DOIs	https://doi.org/10.1016/j.disc.2021.112713
State	Published - Mar 2022

Keywords

Endomorphism non-trivial
Graph homomorphism
Retract-trivial reflexive digraph
Universal algebra

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10.1016/j.disc.2021.112713

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title = "A reflexive digraph that is retraction trivial but not endomorphism trivial",

abstract = "In this note we give an example of a reflexive digraph that has no non-trivial retractions, but does have non-trivial endomorphisms.",

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AB - In this note we give an example of a reflexive digraph that has no non-trivial retractions, but does have non-trivial endomorphisms.

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KW - Graph homomorphism

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KW - Universal algebra

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A reflexive digraph that is retraction trivial but not endomorphism trivial

Abstract

Keywords

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