A. Aranda

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20152020

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3 papers · 1 filter

math.CO2020

The poset of morphism-extension classes of countable graphs

Andrés Aranda

Let $X Y_{L, T}$ denote the class of countably infinite $L$ -structures that satisfy the axioms $T$ and in which all homomorphisms of type X (these could be homomorphisms, mo…

math.CO2019

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…

math.CO2018

Morphism extension classes of countable $L$ -colored graphs

Andrés Aranda, David Hartman

In~\cite{Hartman:2014}, Hartman, Hubi\v cka and Ma\v sulović studied the hierarchy of morphism extension classes for finite $L$ -colored graphs, that is, undirected graphs without l…

The poset of morphism-extension classes of countable graphs

The independence number of HH-homogeneous graphs and a classification of MB-homogeneous graphs

Morphism extension classes of countable L-colored graphs

Morphism extension classes of countable $L$ -colored graphs