Bijections for refined restricted permutations

Details Bijections for refined restricted permutations Bijections for refined restricted permutations

2002-12-23

arxiv.org/abs/math/0212328v1

Mathematics

Combinatorics

9 pages, 4 figures

Scientific paper

We present a bijection between 321- and 132-avoiding permutations that
preserves the number of fixed points and the number of excedances. This gives a
simple combinatorial proof of recent results of Robertson, Saracino and
Zeilberger, and the first author. We also show that our bijection preserves
additional statistics, which extends the previous results.

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