4 papers
The poset of morphism-extension classes of countable graphs
Andrés Aranda
Let denote the class of countably infinite -structures that satisfy the axioms and in which all homomorphisms of type X (these could be homomorphisms, mo…
The independence number of HH-homogeneous graphs and a classification of MB-homogeneous graphs
Andrés Aranda, David Hartman
We show that the independence number of a countably infinite HH-homogeneous graph that does not contain the Rado graph as a spanning subgraph is finite and present a classification…
The Classification of Homogeneous Simple 3-graphs
Andres Aranda
We classify the ultrahomogeneous complete 3-edge-coloured graphs (3-graphs) with simple theory. This extends Lachlan's result (a corollary of the Effective Classification Theorem f…
Asymptotic Enumeration of -free Digraphs
Andres Aranda
We prove that almost all digraphs not embedding an independent set of size 3 consist of two disjoint tournaments, and discuss connections with the theory of homogeneous simple stru…