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arxiv: 1206.3135 · v1 · pith:VBTQ6R35new · submitted 2012-06-14 · 🧮 math.CO · cs.DM

Tournament Minors

classification 🧮 math.CO cs.DM
keywords digraphminorsubdigraphclasscontainmentcontractinghereminors
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We say a digraph $G$ is a {\em minor} of a digraph $H$ if $G$ can be obtained from a subdigraph of $H$ by repeatedly contracting a strongly-connected subdigraph to a vertex. Here, we show the class of all tournaments is a well-quasi-order under minor containment.

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