Antichains and counterpoint dichotomies
DOI:
https://doi.org/10.11575/cdm.v7i2.62148Abstract
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.Downloads
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