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math.CO2002★ 2 cited
Bijections for refined restricted permutations
Sergi Elizalde, Igor Pak
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…
math.CO2002★ 12 cited
Fixed points and excedances in restricted permutations
Sergi Elizalde
In this paper we prove that among the permutations of length n with i fixed points and j excedances, the number of 321-avoiding ones equals the number of 132-avoiding ones, for all…