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math.CO2021★ 1 cited
Peaks are preserved under run-sorting
Per Alexandersson, Olivia Nabawanda
We study a sorting procedure (run-sorting) on permutations, where runs are rearranged in lexicographic order. We describe a rather surprising bijection on permutations on length $n…
math.CO2021★ 1 cited
An involution on derangements preserving excedances and right-to-left minima
Per Alexandersson, Frether Getachew Kebede
We give a bijective proof of a result by R.~Mantaci and F.~Rakotondrajao from 2003, regarding even and odd derangement with a fixed number of excedances. We refine this result by a…