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math.CO2013
Sequences defined by h-vectors
Thomas Enkosky, Branden Stone
In this paper we consider the sequence whose n^{th} term is the number of h-vectors of length n. We show that the n^{th} term of this sequence is bounded above by the n^{th} Fibona…
math.CO2010
Counting points of slope varieties over finite fields
Tom Enkosky
The slope variety of a graph is an algebraic set whose points correspond to drawings of a graph. A complement-reducible graph (or cograph) is a graph without an induced four-vertex…
math.CO2010
Graph Varieties in High Dimension
Thomas Enkosky, Jeremy L. Martin
We study the \emph{picture space} of all embeddings of a finite graph as point-and-line arrangements in an arbitrary-dimensional projective space, continuing previous…