Publications > Preprint server > Preprint Number 1531
Preprint Number 1531
1531. Thomas D. H. Coleman Two Fraïssé-style theorems for homomorphism-homogeneous relational structures E-mail: Submission date: 5 December 2018 Abstract: In this paper, we state and prove two Fraïssé-style results that cover existence and uniqueness properties for twelve of the eighteen different notions of homomorphism-homogeneity as introduced by Lockett and Truss, and provide forward directions and implications for the remaining six cases. Following these results, we completely determine the extent to which the countable homogeneous undirected graphs (as classified by Lachlan and Woodrow) are homomorphism-homogeneous; we also provide some insight into the directed graph case. Mathematics Subject Classification: 03C15, 05C63 Keywords and phrases: |
Last updated: March 23 2021 09:21 | Please send your corrections to: |