Antichains and counterpoint dichotomies

Details Antichains and counterpoint dichotomies Antichains and counterpoint dichotomies

2012-02-08

arxiv.org/abs/1202.1597v3

Mathematics

Combinatorics

Scientific paper

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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