Anick-type resolutions and consecutive pattern avoidance

Details Anick-type resolutions and consecutive pattern avoidance Anick-type resolutions and consecutive pattern avoidance

2010-02-15

arxiv.org/abs/1002.2761v1

Mathematics

Combinatorics

16 pages. Preliminary version, comments are welcome

Scientific paper

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.

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