3 research outputs found
Oriented trees and paths in digraphs
Which conditions ensure that a digraph contains all oriented paths of some
given length, or even a all oriented trees of some given size, as a subgraph?
One possible condition could be that the host digraph is a tournament of a
certain order. In arbitrary digraphs and oriented graphs, conditions on the
chromatic number, on the edge density, on the minimum outdegree and on the
minimum semidegree have been proposed. In this survey, we review the known
results, and highlight some open questions in the area