Publications

L. Maldonado-Martínez, E. Roldán-Pensado. On a colorful problem by Dol’nikov concerning translates of convex bodies. Discrete Mathematics, 347(3):1–4, 2024.

G. L. Maldonado, M. Raggi, E. Roldán-Pensado. On prescribing total orders for bipartite sets of distances in the Euclidean plane. Procedia Computer Science, 223:28–34, 2023.

Fradelizi, M., Hubard, A., Meyer, M., Roldán-Pensado, E., & Zvavitch, A. Equipartitions and Mahler volumes of symmetric convex bodies. American Journal of Mathematics, 144(5):1201–1219, 2022.

G. L. Maldonado, E. Roldán-Pensado. Dissecting the square into seven congruent parts. Discrete Mathematics, 345(5):1–9, 2022.

M. A. Espinosa-Garcıa, A. Montejano, E. Roldán-Pensado, J. D. Suárez. Sidon-Ramsey & Bh-Ramsey numbers. Discrete Mathematics Days 2022, 123–126, 2022.

A. R. Arévalo, A. Montejano, E. Roldán-Pensado. Zero-sum squares in bounded discrepancy {-1,1}-matrices. The Electronic Journal of Combinatorics, 28(4):1–14, 2021.

E. Roldán-Pensado, P. Soberón. A Survey of mass partitions. Bulletin of the American Mathematical Society, Article electronically published, 2021.

L. Montejano, E. Pauli, M. Raggi, E. Roldán-Pensado. The graphs behind Reuleaux polyhedra. Discrete & Computational Geometry, 64(3):1013–1022, 2020.

M. G. Dobbins, H. Kim, L. Montejano, E. Roldán-Pensado. Shadows of a Closed Curve. International Mathematics Research Notices, 2020(7): 1992–2006, 2020.

É. C. De Verdière, C. Medina, E. Roldán-Pensado, G. Salazar. Embeddability of Arrangements of Pseudocircles and Graphs on Surfaces. Discrete & Computational Geometry, 64(2):386–395, 2020.

L. Martínez-Sandoval, E. Roldán-Pensado, N. Rubin. Further consequences of the colorful Helly hypothesis. Discrete & Computational Geometry, 63(4):848–866, 2020.

A. Garber, E. Roldán-Pensado. On a Helly-type question for central symmetry. Periodica Mathematica Hungarica, 79(1): 78–85, 2019.

J. De Loera, R. La Haye, D. Oliveros, E. Roldán-Pensado. Chance-Constrained Convex Mixed-Integer Optimization and Beyond: Two Sampling Algorithms within S-Optimization. Journal of Convex Analysis, 25(1): 201–218, 2018.

J. De Loera, R. La Haye, D. Oliveros, E. Roldán-Pensado. Helly numbers of algebraic subsets of ℝd and an extension of Doignon’s Theorem. Advances in Geometry, 17(4): 473–482, 2017.

N. García-Colín, M. Raggi, E. Roldán-Pensado. A note on the tolerant Tverberg theorem. Discrete & Computational Geometry, 52(3):746–754, 2017.

L. Montejano, E. Roldán-Pensado. Meissner polyhedra. Acta Mathematica Hungarica, 151(2):482–494, 2017.

O. Cagirici, L. Casuso, C. Medina, T. Patiño, M. Raggi, E. Roldán-Pensado, G. Salazar, J. Urrutia. On upward straight-line embeddings of oriented paths. XVII Spanish Meeting on Computational Geometry, Book of abstracts, 49–52, 2017.

L. Montejano, E. Roldán-Pensado. A finite procedure to construct 3-dimensional constant width bodies. XVII Spanish Meeting on Computational Geometry, Book of abstracts, 89–91, 2017.

J. De Loera, R. La Haye, A. Montejano, D. Oliveros, E. Roldán-Pensado. A rainbow Ramsey analogue of Rado’s theorem. Discrete Mathematics, 339(11):2812–2818, 2016.

A. F. Holmsen, J. Kincses, E. Roldán-Pensado. Cutting convex curves. European Journal of Combinatorics, 58:34–37, 2016.

A. F. Holmsen, E. Roldán-Pensado. The colored Hadwiger transversal theorem in ℝ d. Combinatorica, 36(4):417–429, 2016.

R. N. Karasev, E. Roldán-Pensado, P. Soberón. Measure partitions using hyperplanes with fixed directions. Israel Journal of Mathematics, 212(2):705–728, 2016.

I. Bárány, E. Roldán-Pensado, G. Tóth. Erdős–Szekeres Theorem for Lines. Discrete & Computational Geometry, 54(3):669–685, 2015.

A. Montejano, L. Montejano, E. Roldán-Pensado, P. Soberón. About an Erdős–Grünbaum Conjecture Concerning Piercing of Non-bounded Convex Sets. Discrete & Computational Geometry, 53(4):941–950, 2015.

Martínez-Sandoval, L., Raggi, M., & Roldán-Pensado, E. A sunflower anti-Ramsey theorem and its applications. arXiv preprint arXiv:1505.05170, 2015.

L. Martínez, E. Roldán-Pensado. Points defining triangles with distinct circumradii. Acta Mathematica Hungarica, 145(1):136–141, 2015.

M. Eliáš, J. Matoušek, E. Roldán-Pensado, Z. Safernová. Lower Bounds on Geometric Ramsey Functions. SIAM Journal on Discrete Mathematics, 28(4):1960–1970, 2014.

I. Bárány, E. Roldán-Pensado. Longest convex lattice chains. Computational Geometry, 47(3):367–376, 2014.

E. Roldán-Pensado, P. Soberón. An extension of a theorem of Yao and Yao. Discrete & Computational Geometry, 51(2):285–299, 2014.

E. Roldán-Pensado. Paths on the doubly covered region of a covering of the plane by unit discs. Studia Scientiarum Mathematicarum Hungarica, 50(4):465–469, 2013.

I. Bárány, E. Roldán-Pensado. A Question from a Famous Paper of Erdős. Discrete & Computational Geometry, 50(1):253–261, 2013.

E. Roldán-Pensado. The probability that a convex body intersects the integer lattice in a k-dimensional set. Discrete & Computational Geometry, 47(2):288–300, 2012.

J. Jerónimo-Castro, E. Roldán-Pensado. Line transversals to blown up closed balls. Journal of Geometry, 100(1-2):79–84, 2011.

J. Jerónimo-Castro, E. Roldán-Pensado. Line transversals to translates of a convex body. Discrete & Computational Geometry, 45(2):329–339, 2011.

J. Arocha, J. Jerónimo-Castro, L. Montejano, E. Roldán-Pensado. On a conjecture of Grünbaum concerning partitions of convex sets. Periodica Mathematica Hungarica, 60(1):41–47, 2010.

J. Jerónimo-Castro, E. Roldán-Pensado. A characteristic property of the Euclidean disc. Periodica Mathematica Hungarica, 59(2):213–222, 2009.

E. Roldán-Pensado. Infinite numerical range is convex. Linear and Multilinear Algebra, 56(6):731–733, 2008.