Lenoir–Rhyne University

output

19992024

most citedHow many cards should you lay out in a game of EvenQuads?: A detailed study of caps in AG(n,2)

4 citations

7 papers

math.ST2024

Maximum likelihood degree of the $β$ -stochastic blockmodel

Cashous Bortner, Jennifer Garbett, Elizabeth Gross +3

Log-linear exponential random graph models are a specific class of statistical network models that have a log-linear representation. This class includes many stochastic blockmodel…

math.CO2022★ 4 cited

How many cards should you lay out in a game of EvenQuads?: A detailed study of caps in AG(n,2)

Julia Crager, Felicia Flores, Timothy E. Goldberg +4

We define a \textit{cap} in the affine geometry $A G (n, 2)$ to be a subset in which any collection of 4 points is in general position. In this paper we classify, up to affine equival…

math.CO2017

The pinnacle set of a permutation

Robert Davis, Sarah A. Nelson, T. Kyle Petersen +1

The peak set of a permutation records the indices of its peaks. These sets have been studied in a variety of contexts, including recent work by Billey, Burdzy, and Sagan, which enu…

math.DG2010★ 2 cited

Singular Reduction of Generalized Complex Manifolds

Timothy E. Goldberg

In this paper, we develop results in the direction of an analogue of Sjamaar and Lerman's singular reduction of Hamiltonian symplectic manifolds in the context of reduction of Hami…

math.CO2009★ 1 cited

On (2,3)-agreeable Box Societies

Michael Abrahams, Meg Lippincott, Thierry Zell

The notion of $(k, m)$ -agreeable society was introduced by Deborah Berg et al.: a family of convex subsets of $R^{d}$ is called $(k, m)$ -agreeable if any subfamily of size $m$ contain…

cs.CC2008

Polynomial hierarchy, Betti numbers and a real analogue of Toda's theorem

Saugata Basu, Thierry Zell

Toda proved in 1989 that the (discrete) polynomial time hierarchy, $PH$ , is contained in the class $\mathbf{P}^{#\mathbf{P}}$, namely the class of languages that can be de…