4 citations · 5 across the 8 of their papers we have counts for
4 papers · 1 filter
Distribution of statistics on separable permutations restricted by a flat POP
Alice L. L. Gao, Sergey Kitaev, Ya-Xing Li +1
Finding distributions of statistics in pattern-avoiding permutations has attracted significant attention in the literature. In particular, Chen, Kitaev, and Zhang derived functiona…
Stoimenow matchings avoiding multiple Catalan patterns simultaneously
Shuzhen Lv, Sergey Kitaev
Motivated by Vassiliev's knot invariants, Stoimenow introduced a special class of matchings, now known as Stoimenow matchings. These matchings have since been linked to various com…
Catalan structures arising from pattern-avoiding Stoimenow matchings and other Fishburn objects
Shuzhen Lv, Sergey Kitaev, Philip B. Zhang
In connection with Vassiliev's knot invariants, Stoimenow introduced in 1998 a class of matchings, also known as regular linearized chord diagrams. These matchings are linked to va…
A bijection between - and -avoiding permutations preserving -stack-sortability
Yang Li, Sergey Kitaev, Zhicong Lin +1
We construct a bijection between - and -avoiding permutations that preserves the property of -stack-sortability. Our bijection transforms natural statistics between th…