E. McNicholas

collaborators

3 papers

math.CO2018

Approval Gap of Weighted k-Majority Tournaments

Jeremy Coste, Breenn Flesch, Joshua D. Laison +2

A $k$ -majority tournament $T$ on a finite set of vertices $V$ is defined by a set of $2 k - 1$ linear orders on $V$ , with an edge $u \to v$ in $T$ if $u > v$ in a majority of the linear…

math.CO2018

Algebraic Voting Theory & Representations of $S_{m} ≀ S_{n}$

Hélène Barcelo, Megan Bernstein, Sarah Bockting-Conrad +3

We consider the problem of selecting an $n$ -member committee made up of one of $m$ candidates from each of $n$ distinct departments. Using an algebraic approach, we analyze positio…

math.SP2009

Eigenvalue Statistics of One-Face Maps

E. M. McNicholas

We examine the adjacency matrices of three-regular graphs representing one-face maps. Numerical studies reveal that the limiting eigenvalue statistics of these matrices are the sam…

Approval Gap of Weighted k-Majority Tournaments

Algebraic Voting Theory & Representations of Sm​≀Sn​

Eigenvalue Statistics of One-Face Maps

Algebraic Voting Theory & Representations of $S_{m} ≀ S_{n}$