Density and Fractal Property of the Class of Oriented Trees

2019/03/23 by Hubička, Jan, Nešetřil, Jaroslav, Oviedo, Pablo
#05C05 #05C20 #05C38 #06A06 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #F.4.1 #FOS: Computer and information sciences #FOS: Mathematics #G.2.2

paper · doi:10.48550/arxiv.1903.09808

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.

Related

• Fractal property of the graph homomorphism order
• Oriented trees and paths in digraphs
• Trees and tree-like structures in dense digraphs
• Phylogenetic trees and homomorphisms
• Compactness and fractal dimensions of inhomogeneous continuum random trees