3 papers
math.CO2026
Involution on Catalan structures
Anders Claesson, Sergey Kitaev, Einar Steingrímsson +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.CO2025
Proof of a conjecture on the shape-Wilf-equivalence for partially ordered patterns
Lintong Wang, Sherry H. F. Yan
A partially ordered pattern (abbreviated POP) is a partially ordered set (poset) that generalizes the notion of a pattern when we are not concerned with the relative order of some…
math.CO2022
On Refinements of Wilf-Equivalence for Involutions
Sherry H. F. Yan, Lintong Wang, Robin D. P. Zhou
Let (resp. and ) denote the set of permutations (resp. involutions and alternating involutions) of length which avoid t…