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arxiv: 1710.11482 · v1 · pith:CO5CEEQXnew · submitted 2017-10-31 · 🧮 math.CO

Immersion of transitive tournaments in digraphs with large minimum outdegree

classification 🧮 math.CO
keywords immersionminimumoutdegreetransitiveconjecturecontainsdevosdigraph
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We prove the existence of a function $h(k)$ such that every simple digraph with minimum outdegree greater than $h(k)$ contains an immersion of the transitive tournament on $k$ vertices. This solves a conjecture of Devos, McDonald, Mohar and Scheide.

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