159 citations · 178 across the 33 of their papers we have counts for
5 papers · 1 filter
Distributions of mesh patterns of short lengths on king permutations
Dan Li, Philip B. Zhang
Brändén and Claesson introduced the concept of mesh patterns in 2011, and since then, these patterns have attracted significant attention in the literature. Subsequently, in 2015,…
Distribution of maxima and minima statistics on alternating permutations, Springer numbers, and avoidance of flat POPs
Tian Han, Sergey Kitaev, Philip B. Zhang
In this paper, we find distributions of the left-to-right maxima, right-to-left maxima, left-to-right minima and right-to-left-minima statistics on up-down and down-up permutations…
On (shape-)Wilf-equivalence of certain sets of (partially ordered) patterns
Alexander Burstein, Tian Han, Sergey Kitaev +1
We prove a conjecture of Gao and Kitaev on Wilf-equivalence of sets of patterns {12345,12354} and {45123,45213} that extends the list of 10 related conjectures proved in the litera…
Distributions of statistics on separable permutations
Joanna N. Chen, Sergey Kitaev, Philip B. Zhang
We derive functional equations for distributions of six classical statistics (ascents, descents, left-to-right maxima, right-to-left maxima, left-to-right minima, and right-to-left…
Stable multivariate Narayana polynomials and labeled plane trees
Harold R. L. Yang, Philip B. Zhang
In this paper, we introduce stable multivariate generalizations of Narayana polynomials of type A and type B. We give an insertion algorithm for labeled plane trees and introduce t…