3 citations · 7 across the 10 of their papers we have counts for
17 papers
Burstein's permutation conjecture, Hong and Li's inversion sequence conjecture, and restricted Eulerian distributions
Shane Chern, Shishuo Fu, Zhicong Lin
Recently, Hong and Li launched a systematic study of length-four pattern avoidance in inversion sequences, and in particular, they conjectured that the number of -avoiding in…
Combinatorics of Integer Partitions With Prescribed Perimeter
Zhicong Lin, Huan Xiong, Sherry H. F. Yan
We prove that the number of even parts and the number of times that parts are repeated have the same distribution over integer partitions with a fixed perimeter. This refines Strau…
Cycles on a multiset with only even-odd drops
Zhicong Lin, Sherry H. F. Yan
For a finite subset of , Lazar and Wachs (2019) conjectured that the number of cycles on with only even-odd drops is equal to the number of D-cycles on …
A symmetry on weakly increasing trees and multiset Schett polynomials
Zhicong Lin, Jun Ma
By considering the parity of the degrees and levels of nodes in increasing trees, a new combinatorial interpretation for the coefficients of the Taylor expansions of the Jacobi ell…
A decomposition of ballot permutations, pattern avoidance and Gessel walks
Zhicong Lin, David G. L. Wang, Tongyuan Zhao
A permutation whose any prefix has no more descents than ascents is called a ballot permutation. In this paper, we present a decomposition of ballot permutations that enables us to…
Positivity and divisibility of alternating descent polynomials
Zhicong Lin, Shi-Mei Ma, David G. L. Wang +1
The alternating descent statistic on permutations was introduced by Chebikin as a variant of the descent statistic. We show that the alternating descent polynomials on permutations…