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math.CO2024
Oriented Trees in Digraphs without Oriented -cycles
Maya Stein, Ana Trujillo-Negrete
We prove that if is a digraph of maximum outdegree and indegree at least , and minimum semidegree at least that contains no oriented -cycles, then contains each…
math.CO2024
Antidirected trees in dense digraphs
Maya Stein, Ana Trujillo-Negrete
We show that if is an -vertex digraph with more than arcs that does not contain any of three forbidden digraphs, then contains every antidirected tree on ar…