Type

Journal Article

Authors

Anton Khoroshkin
Vladimir Dotsenko

Subjects

Mathematics

Topics
algebra patterns resolution generating pattern type inversion

Anick-type Resolutions and Consecutive Pattern Avoidance (2010)

Abstract For permutations avoiding consecutive patterns from a given set, we present a combinatorial formula for the multiplicative inverse of the corresponding exponential generating function. The formula comes from homological algebra considerations in the same sense as the corresponding inversion formula for avoiding word patterns comes from the well known Anick’s resolution.
Collections Ireland -> DAIR -> Open Access DRIVERset
Ireland -> DAIR -> Type = Article
Ireland -> DAIR -> Status = Preprint

Full list of authors on original publication

Anton Khoroshkin, Vladimir Dotsenko

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