7 citations · 19 across the 18 of their papers we have counts for
20 papers
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.
Borsuk and Vázsonyi problems through Reuleaux polyhedra
Gyivan Lopez-Campos, Deborah Oliveros, Jorge L. Ramírez Alfonsín
The Borsuk conjecture and the Vázsonyi problem are two attractive and famous questions in discrete and combinatorial geometry, both based on the notion of diameter of a bounded set…
From word-representable graphs to altered Tverberg-type theorems
Deborah Oliveros, Antonio Torres
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…
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…
On weighted sums of numbers of convex polygons in point sets
Clemens Huemer, Deborah Oliveros, Pablo Pérez-Lantero +2
Let be a set of points in general position in the plane, and let be the number of convex -gons with vertices in that have exactly points of $S…
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…