160 citations · 199 across the 25 of their papers we have counts for
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math.CO2011
Hom-polytopes
Tristram Bogart, Mark Contois, Joseph Gubeladze
We study the polytopes of affine maps between two polytopes -- the hom-polytopes. The hom-polytope functor has a left adjoint -- tensor product polytopes. The analogy with the cate…
math.CO2011★ 2 cited
Enumeration of Golomb Rulers and Acyclic Orientations of Mixed Graphs
Matthias Beck, Tristram Bogart, Tu Pham
A \emph{Golomb ruler} is a sequence of distinct integers (the \emph{markings} of the ruler) whose pairwise differences are distinct. Golomb rulers can be traced back to additive nu…
math.AG2011
Obstructions to lifting tropical curves in surfaces in 3-space
Tristram Bogart, Eric Katz
Tropicalization is a procedure that takes subvarieties of an algebraic torus to balanced weighted rational complexes in space. In this paper, we study the tropicalizations of curve…