7 citations · 19 across the 18 of their papers we have counts for
5 papers · 1 filter
A 4-Dimensional Peabody of Constant Width
Isaac Arelio, Luis Montejano, Deborah Oliveros
In this paper we present a unique 4-dimensional body of constant width based on the classical notion of focal conics.
Peabodies of Constant Width
Isaac Arelio, Luis Montejano, Deborah Oliveros
The purpose of this paper is to describe a new -dimensional family of bodies of constant width that we have called peabodies, obtained from the Reuleaux tetrahedron by replacing…
Tverberg-Type Theorems with Trees and Cycles as (Nerve) Intersection Patterns
Jesús A. De Loera, Thomas A. Hogan, Deborah Oliveros +1
Tverberg's theorem says that a set with sufficiently many points in can always be partitioned into parts so that the -simplex is the (nerve) intersection…
Beyond Chance-Constrained Convex Mixed-Integer Optimization: A Generalized Calafiore-Campi Algorithm and the notion of -optimization
J. A. De Loera, R. N. La Haye, D. Oliveros +1
The scenario approach developed by Calafiore and Campi to attack chance-constrained convex programs utilizes random sampling on the uncertainty parameter to substitute the original…
A fractional Helly theorem for boxes
I. Bárány, F. Fodor, A. Martínez-Pérez +3
Let be a family of axis-parallel boxes in and a real number. There exists a real number such that if there are $α{n\choos…