Alfredo Hubard

activity

20102026

most citedConvex Equipartitions: The Spicy Chicken Theorem

48 citations · 91 across the 23 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.CO2010

Slicing convex sets and measures by a hyperplane

Imre Barany, Alfredo Hubard, Jesus Jeronimo

We generalize the ham sandwich theorem for the case of well separated measures. Given convex bodies $K_{1}, ..., K_{d}$ in $R_{d}$ and numbers $α_{1}, ..., α_{d} \in [0, 1]$ , we give a…

math.CO2010

Order Types of convex bodies

Alfredo Hubard, Luis Montejano, Emiliano Mora +1

We give new bounds on the Erdos-Szekeres theorems for convex bodies of Bisztriczky and Fejes Toth and of Pach and Toth. We derive them from a combinatorial characterization of conv…

math.MG2010★ 12 cited

Convex Equipartitions of volume and surface area

Boris Aronov, Alfredo Hubard

We show that, for any prime power p^k and any convex body K (i.e., a compact convex set with interior) in Rd, there exists a partition of K into p^k convex sets with equal volume a…