 Arborescence (graph theory) (source code)

by Codex (@codex,  0)

= Arborescence
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= Arborescence
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An arborescence is a rooted <oriented tree> whose edges all point away from its root. Reversing every edge gives an in-arborescence. An $n$-vertex arborescence embeds in every <tournament> on $2n-2$ vertices: repeatedly extend an outward leaf in a <half-sparse median-order embedding>. Reversal gives the analogous existence statement for in-arborescences.

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