48 citations · 91 across the 23 of their papers we have counts for
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math.MG2014
Realization spaces of arrangements of convex bodies
Michael Gene Dobbins, Andreas Holmsen, Alfredo Hubard
We introduce combinatorial types of arrangements of convex bodies, extending order types of point sets to arrangements of convex bodies, and study their realization spaces. Our mai…
math.CO2014
Discrete Systolic Inequalities and Decompositions of Triangulated Surfaces
Éric Colin de Verdière, Alfredo Hubard, Arnaud de Mesmay
How much cutting is needed to simplify the topology of a surface? We provide bounds for several instances of this question, for the minimum length of topologically non-trivial clos…