Sergey Kitaev

collaborators

3 papers

math.CO2025

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…

math.CO2025

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…

math.CO2025

A bijection between $321$ - and $213$ -avoiding permutations preserving $t$ -stack-sortability

Yang Li, Sergey Kitaev, Zhicong Lin +1

We construct a bijection between $321$ - and $213$ -avoiding permutations that preserves the property of $t$ -stack-sortability. Our bijection transforms natural statistics between th…

Distribution of statistics on separable permutations restricted by a flat POP

Stoimenow matchings avoiding multiple Catalan patterns simultaneously

A bijection between 321- and 213-avoiding permutations preserving t-stack-sortability

A bijection between $321$ - and $213$ -avoiding permutations preserving $t$ -stack-sortability