15 citations · 57 across the 35 of their papers we have counts for
6 papers · 1 filter
Proof of Dilks' bijectivity conjecture on Baxter permutations
Zhicong Lin, Jing Liu
Baxter permutations originally arose in studying common fixed points of two commuting continuous functions. In 2015, Dilks proposed a conjectured bijection between Baxter permutati…
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…
Permanent identities, combinatorial sequences, and permutation statistics
Shishuo Fu, Zhicong Lin, Zhi-Wei Sun
In this paper, we confirm six conjectures on the exact values of some permanents, relating them to the Genocchi numbers of the first and second kinds as well as the Euler numbers.…
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…