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Are trees really just butterflies in disguise?

Santos, Giovanne et al.
arXiv (All) · Papers
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combinatorics
As a generalisation of the Erdős-Sós conjecture about graphs, Addario-Berry, Havet, Linhares Sales, Reed and Thomassé conjectured that every digraph on $n$ vertices with more than $(k-1)n$ arcs contains every antidirected tree with $k$ arcs. We prove a dense, approximate version of this for trees wi
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