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Erdős-Sós for digraphs

Mubayi, Dhruv et al.
arXiv (All) · Papers
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combinatorics
It is shown that every Eulerian digraph on $n$ vertices with more than $(t-1)n$ arcs contains every oriented tree with $t$ edges. The digraphs have no loops or repeated arcs, but opposite arcs are permitted. The bound is sharp for each fixed oriented tree, as witnessed by disjoint unions of complete
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