The fine structure of 321 avoiding permutations

Details The fine structure of 321 avoiding permutations The fine structure of 321 avoiding permutations

2002-12-11

arxiv.org/abs/math/0212163v1

Mathematics

Combinatorics

18 pages, 4 figures, submitted to Electronic Journal of Combinatorics

Scientific paper

Bivariate generating functions for various subsets of the class of permutations containing no descending sequence of length three or more are determined. The notion of absolute indecomposability of a permutation is introduced, and used in enumerating permutations which have a block structure avoiding 321 and whose blocks also have such structure (recursively). Generalizations of these results are discussed.

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