Charles Explorer logo
🇬🇧

Homomorphism-homogeneous relational structures

Publication at Faculty of Mathematics and Physics |
2006

Abstract

We consider relational structures with the property that every homomorphism from a substructure B into the whole structure extends to a homomorphism of the whole structure into itself. We investigate such structures within the class of graphs, partially ordered sets, as well as general relational structures.

A similar problem is studied for monomorphisms in place of homomorphisms.