3 citations · 3 across the 10 of their papers we have counts for
14 papers
An involution for trivariate symmetries of vincular patterns
Joanna N. Chen, Shishuo Fu, Jiang Zeng
We provide a bijective proof of the equidistribution of two pairs of vincular patterns in permutations, thereby resolving a recent open problem of Bitonti, Deb, and Sokal (arXiv:24…
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…
A bijection for length- patterns in permutations
Joanna N. Chen, Zhicong Lin
A bijection between -avoiding permutations and -avoiding permutations is constructed, which preserves five classical set-value…
An involution on restricted Laguerre histories and its applications
Joanna N. Chen, Shishuo Fu
Laguerre histories (restricted or not) are certain weighted Motzkin paths with two types of level steps. They are, on one hand, in natural bijection with the set of permutations, a…
Combinatorics of the symmetries of ascents in restricted inversion sequences
Joanna N. Chen, Zhicong Lin
The systematic study of inversion sequences avoiding triples of relations was initiated by Martinez and Savage. For a triple , they in…
Block decomposition and statistics arising from permutation tableaux
Joanna N. Chen
Permutation statistics $\wnm$ and $\rlm$ are both arising from permutation tableaux. $\wnm$ was introduced by Chen and Zhou, which was proved equally distributed with the number of…
Statistics on permutations with bounded drop size
Joanna Na Chen, Robin Dapao Zhou
Permutations with bounded drop size, which we also call bounded permutations, was introduced by Chung, Claesson, Dukes and Graham. Petersen introduced a new Mahonian statistic the…
On the 12-representability of induced subgraphs of a grid graph
Joanna N. Chen, Sergey Kitaev
The notion of a 12-representable graph was introduced by Jones et al.. This notion generalizes the notions of the much studied permutation graphs and co-interval graphs. It is know…
From -Stirling numbers to the Delta Conjecture: a viewpoint from vincular patterns
Joanna N. Chen, Shishuo Fu
The distribution of certain Mahonian statistic (called ) introduced by Babson and Steingrímsson over the set of permutations that avoid vincular pattern $1\underline…
Equidistributions of MAJ and STAT over pattern avoiding permutations
Joanna N. Chen
Babson and Steingr\'ımsson introduced generalized permutation patterns and showed that most of the Mahonian statistics in the literature can be expressed by the combination of gene…
A new bijective proof of Babson and Steingr\'ımsson's conjecture
Joanna N. Chen, Shouxiao Li
Babson and Steingr\'ımsson introduced generalized permutation patterns and showed that most of the Mahonian statistics in the literature can be expressed by the combination of gene…
On the Sign-imbalance of Permutation Tableaux
Joanna N. Chen, Robin D. P. Zhou
Permutation tableaux were introduced by Steingr\'ımsson and Williams. Corteel and Kim defined the sign of a permutation tableau in terms of the number of unrestricted columns. The…
On Permutations with Bounded Drop Size
Joanna N. Chen, William Y. C. Chen
The maximum drop size of a permutation of is defined to be the maximum value of . Chung, Claesson, Dukes and Graham obtained polynomials $P_k(x)…
On Pattern Avoiding Alternating Permutations
Joanna N. Chen, William Y. C. Chen, Robin D. P. Zhou
An alternating permutation of length is a permutation such that . Let denote set of alternating permutations of ${1,2,...…