2 papers
math.CO2026
Involution on Catalan structures
Anders Claesson, Sergey Kitaev, Einar SteingrÃmsson +1
We define an involution on Catalan structures through an abstract framework, prove an equidistribution theorem for four canonical statistics and present a generating function c…
math.CO2024
On naturally labelled posets and permutations avoiding 12-34
David Bevan, Gi-Sang Cheon, Sergey Kitaev
A partial order on is naturally labelled (NL) if implies . We establish a bijection between {3, 2+2}-free NL posets and 12-34-avoiding permutations, d…