Nathan Sun

activity

20182023

most citedOn

d

-permutations and Pattern Avoidance Classes

2 citations · 3 across the 6 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.CO2022★ 1 cited

The Image of the Pop Operator on Various Lattices

Yunseo Choi, Nathan Sun

Extending the classical pop-stack sorting map on the lattice given by the right weak order on $S_{n}$ , Defant defined, for any lattice $M$ , a map $Pop_{M} : M \to M$ that sen…

math.CO2022

A Complete Enumeration of Ballot Permutations Avoiding Sets of Small Patterns

Nathan Sun

Permutations whose prefixes contain at least as many ascents as descents are called ballot permutations. Lin, Wang, and Zhao have previously enumerated ballot permutations avoiding…

math.CO2022★ 2 cited

On $d$ -permutations and Pattern Avoidance Classes

Nathan Sun

Multidimensional permutations, or $d$ -permutations, are represented by their diagrams on $[n]^{d}$ such that there exists exactly one point per hyperplane $x_{i}$ that satisfies $x_i=…

The Image of the Pop Operator on Various Lattices

A Complete Enumeration of Ballot Permutations Avoiding Sets of Small Patterns

On d-permutations and Pattern Avoidance Classes

On $d$ -permutations and Pattern Avoidance Classes