Stephen J. Greenfield

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Tournament embedding is an order relation on the class of finite tournaments. An antichain is a set of finite tournaments that are pairwise incomparable in this ordering. We say an antichain A can be extended to an antichain B if A ⊆ B. Those finite antichains that can not be extended to antichains of arbitrarily large finite cardinality are exactly those(More)
The maximum antichain cardinality (MACC) of a tournament is the maximum number of in-comparable subtournaments of T. We establish some properties of MACC. We describe all tournaments whose MACC is 1 or 2, show that MACC can grow exponentially with the size of the vertex set of a tournament, and present some questions for further investigation. A tournament(More)
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