A digraph with minimum semidegree above ℓ/(2ℓ−1) times the tree size and with vertices of large out- and indegree contains every balanced antidirected bounded-degree tree of that size.
Graphs of minimum degree at least⌊d/2⌋ and large enough maximum degree embed every tree with d vertices.Procedia Computer Science, 223:217–222, 2023
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Antidirected trees in directed graphs
A digraph with minimum semidegree above ℓ/(2ℓ−1) times the tree size and with vertices of large out- and indegree contains every balanced antidirected bounded-degree tree of that size.