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Tournament Minors

Published 14 Jun 2012 in math.CO and cs.DM | (1206.3135v1)

Abstract: 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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