7 citations · 11 across the 15 of their papers we have counts for
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On convex spiral equicoverings of masses
Edgardo Roldán-Pensado
Convex spiral equicoverings were recently introduced by Espinosa-García, Martínez-Sandoval and Roldán-Pensado. They left open the question of whether every planar mass admits a con…
Equipartitions and Mahler volumes of symmetric convex bodies
Matthieu Fradelizi, Alfredo Hubard, Mathieu Meyer +2
Following ideas of Iriyeh and Shibata we give a short proof of the three-dimensional Mahler conjecture {\mf for symmetric convex bodies}. Our contributions include, in particular,…
Shadows of a Closed Curve
Michael Gene Dobbins, Heuna Kim, Luis Montejano +1
A shadow of a geometric object in a given direction is the orthogonal projection of on the hyperplane orthogonal to . We show that any topological embedding of a cir…
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…
The Colored Hadwiger Transversal Theorem in
Andreas F. Holmsen, Edgardo Roldán-Pensado
Hadwiger's transversal theorem gives necessary and sufficient conditions for a family of convex sets in the plane to have a line transversal. A higher dimensional version was obtai…
Erdős - Szekeres Theorem for Lines
Imre Bárány, Edgardo Roldán-Pensado, Géza Tóth
According to the Erdős-Szekeres theorem, for every , a sufficiently large set of points in general position in the plane contains in convex position. In this note we investi…
Paths on the Doubly Covered Region of a Covering of the Plane by Unit Discs
Edgardo Roldán-Pensado
Given a covering of the plane by closed unit discs and two points and in the region doubly covered by , what is the length of the shortest path con…