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math.LO2015
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…
math.LO2015
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…