Density and Fractal Property of the Class of Oriented Trees

Abstract

We show the density theorem for the class of finite oriented trees ordered by the homomorphism order. We also show that every interval of oriented trees, in addition to be dense, is in fact universal. We end by considering the fractal property in the class of all finite digraphs.

arXiv comment5 pages, 4 figures. Extended abstract for Eurocomb 2019. Minor revision

Cited by in corpus (1)

• On the Homomorphism Order of Oriented Paths and Trees