Robin D. P. Zhou

activity

20122022

collaborators

Showing math.COShow all

7 papers · 1 filter

math.CO2022

On Refinements of Wilf-Equivalence for Involutions

Sherry H. F. Yan, Lintong Wang, Robin D. P. Zhou

Let $S_{n} (π)$ (resp. $I_{n} (π)$ and $A I_{n} (π)$ ) denote the set of permutations (resp. involutions and alternating involutions) of length $n$ which avoid t…

math.CO2021

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…

math.CO2019

A new decomposition of ascent sequences and Euler--Stirling statistics

Shishuo Fu, Emma Yu Jin, Zhicong Lin +2

As shown by Bousquet-Mélou--Claesson--Dukes--Kitaev (2010), ascent sequences can be used to encode $(2 + 2)$ -free posets. It is known that ascent sequences are enumerated by the…

math.CO2018

Equidistributed statistics on Fishburn matrices and permutations

Dandan Chen, Sherry H. F. Yan, Robin D. P. Zhou

Recently, Jelínek conjectured that there exists a bijection between certain restricted permutations and Fishburn matrices such that the bijection verifies the equidistribution of s…

math.CO2016

On $(2 k + 1, 2 k + 3)$ -core partitions with distinct parts

Sherry H. F. Yan, Guizhi Qin, Zemin Jin +1

In this paper, we are mainly concerned with the enumeration of $(2 k + 1, 2 k + 3)$ -core partitions with distinct parts. We derive the number and the largest size of such partitions, con…

math.CO2013

Ordered Partitions Avoiding a Permutation of Length 3

William Y. C. Chen, Alvin Y. L. Dai, Robin D. P. Zhou

An ordered partition of $[n] = {1, 2, \dots, n}$ is a partition whose blocks are endowed with a linear order. Let $O P_{n, k}$ be set of ordered partitions of $[n]$ with $…