Density and Fractal Property of the Class of Oriented Trees

Published 23 Mar 2019 in math.CO and cs.DM | (1903.09808v2)

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.

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