L. H. Harper

most citedIs the Symmetric Group Sperner?

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.CO2019

The Absolute Orders on the Coxeter Groups $A_{n}$ and $B_{n}$ are Sperner

Lawrence H. Harper, Gene B. Kim, Neal Livesay

Over 50 years ago, Rota posted the following celebrated `Research Problem': prove or disprove that the partial order of partitions on an $n$ -set (i.e., the refinement order) is Spe…

math.CO2019★ 1 cited

Is the Symmetric Group Sperner?

Larry H. Harper, Gene B. Kim

An antichain $A$ in a poset $P$ is a subset of $P$ in which no two elements are comparable. Sperner showed that the maximal antichain in the Boolean l…

math.CO2018

The Edge-Isoperimetric Problem on Sierpinski Graphs: Final Resolution

L. H. Harper

This paper completes the project started in [10]; to solve the edge-isoperimetric problem on the (generalized and extended) Sierpinski graph, S(n,m). We prove that initial segments…

The Absolute Orders on the Coxeter Groups An​ and Bn​ are Sperner

Is the Symmetric Group Sperner?

The Edge-Isoperimetric Problem on Sierpinski Graphs: Final Resolution

The Absolute Orders on the Coxeter Groups $A_{n}$ and $B_{n}$ are Sperner