A. Zhang

collaborators

2 papers

math.CO2020

Counting the Nontrivial Equivalence Classes of $S_{n}$ under ${1234, 3412}$ -Pattern-Replacement

Quinn Perian, Bella Xu, Alexander Lu Zhang

We study the ${1234, 3412}$ pattern-replacement equivalence relation on the set $S_{n}$ of permutations of length $n$ , which is conceptually similar to the Knuth relation. In parti…

math.CO2020

On Quasisymmetric Functions with Two Bordering Variables

Andrey Boris Khesin, Alexander Lu Zhang

We extend past results on a family of formal power series $K_{n, Λ}$ , parameterized by $n$ and $Λ \subseteq [n]$ , that largely resemble quasisymmetric functions. This family of func…

Counting the Nontrivial Equivalence Classes of Sn​ under {1234,3412}-Pattern-Replacement

On Quasisymmetric Functions with Two Bordering Variables

Counting the Nontrivial Equivalence Classes of $S_{n}$ under ${1234, 3412}$ -Pattern-Replacement