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arXiv · 1202.1597

Antichains and counterpoint dichotomies

Octavio A. Agustín-Aquino
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Abstract

We construct a special type of antichain (i. e., a family of subsets of a set, such that no subset is contained in another) using group-theoretical considerations, and obtain an upper bound on the cardinality of such an antichain. We apply the result to bound the number of strong counterpoint dichotomies up to affine isomorphisms.

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Octavio A. Agustín-Aquino. 2012-06-28. Antichains and counterpoint dichotomies. https://doi.org/10.11575/cdm.v7i2.62148

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