Aria Dougherty

collaborators

3 papers

math.RA2020

Regular functionals on seaweed Lie algebras

Vincent E. Coll, Aria L. Dougherty

The index of a Lie algebra $g$ is defined by ind $g =$ $min_{f \in g^{*}} dim (ker (B_{f}))$ , where $f$ is an element of the linear dual $\mathfrak{g}^*…

math.CO2018

On compositions associated to seasweed subalgebras of sl(n)

Vincent E. Coll, Aria Dougherty, Matthew Hyatt +2

A standard seaweed subalgebra of $A_{n - 1} = sl (n)$ may be parametrized by a pair of compositions of the positive integer $n$ . For all $n$ and certain $k (n)$ , we provide cl…

math.CO2018

How to Build a Graph in n Days: Some Variants on Graph Assembly

Aria Dougherty, Nick Mayers, Robert Short

In a recent article by M. Bona and A. Vince, the authors introduced the concept of an assembly tree for a graph. Assembly trees act as record keeping devices for the construction o…