7 citations · 11 across the 15 of their papers we have counts for
19 papers
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…
Disconnected graphs and extremal bounds for realizable distance orders
Gerardo L. Maldonado, Leonardo Martínez-Sandoval, Miguel Raggi +1
Let be a graph together with a total order on its edges. We say that is realizable in if there is a placement of the vertices of in $\mathbb{…
Equicovering masses in the Euclidean plane
Manuel A. Espinosa-García, Leonardo Martínez-Sandoval, Edgardo Roldán-Pensado
Classic mass partition results are about dividing the plane into regions that are equal with respect to one or more measures (masses). We introduce a new concept in which the notio…
On the orthogonal Grünbaum partition problem in dimension three
Gerardo L. Maldonado, Edgardo Roldán-Pensado
Grünbaum's equipartition problem asked if for any measure on there are always hyperplanes which divide into -equal parts. This proble…
On a colorful problem by Dol'nikov concerning translates of convex bodies
Leonardo Martínez-Sandoval, Edgardo Roldán-Pensado
In this note we study a conjecture by Jerónimo-Castro, Magazinov and Soberón which generalized a question posed by Dol'nikov. Let be families of translates of a…
Transversals to colorful intersecting convex sets
Cuauhtemoc Gomez-Navarro, Edgardo Roldán-Pensado
Let be a compact convex set in and let be finite families of translates of such that …