Leonardo Ignacio Martínez Sandoval

- Mathematical Researcher
- Python Coder
- Advocate of Problem-Solving

Scientific Publications

I am a researcher in mathematics at the Faculty of Sciences of the National Autonomous University of Mexico (FC-UNAM). My main areas of research interest are discrete and computational geometry. Here you can find a list of my scientific publications.

Timeline of publications

Journal Papers

Rainbow polygons for colored points sets in the plane

D. Flores-Peñaloza, M. Kano, L. Martínez-Sandoval, D. Orden, J. Tejel, C.D. Tóth, J.Urrutia, B. Vogtenhuber

arXiv 🔗 DOI 🔗

2021
Discrete Mathematics
The convex dimension of hypergraphs and the hypersimplicial Van Kampen-Flores Theorem

L. Martínez-Sandoval, A. Padrol

arXiv 🔗 DOI 🔗

2021
Journal of Combinatorial Theory, Series B
On Erdős–Szekeres-type problems for k-convex point sets

M. Balko, S. Bhore, L. Martínez-Sandoval, P. Valtr

DOI 🔗

2020
European Journal of Combinatorics
Triangle areas in line arrangements

G. Damásdi, L. Martínez-Sandoval, D. T. Nagy, Z. L. Nagy

arXiv 🔗 DOI 🔗

2020
Discrete Mathematics
Further consequences of the Colorful Helly Hypothesis

L. Martínez-Sandoval, E. Roldán-Pensado, N. Rubin

arXiv 🔗 DOI 🔗

2019
Discrete and Computational Geometry
A Tutte polynomial inequality for lattice path matroids.

K. Knauer, L. Martínez-Sandoval, J. Ramírez-Alfonsín

arXiv 🔗 DOI 🔗

2018
Advances in Applied Mathematics
Codimension two and three Kneser Transversals

J. Chappelon, L. Martínez-Sandoval, L. Montejano, L. P. Montejano, J. Ramírez-Alfonsín

arXiv 🔗 DOI 🔗

2018
SIAM J. on Discrete Mathematics
On lattice path matroid polytopes: integer points and Ehrhart polynomial

K. Knauer, L. Martínez-Sandoval, J.L. Ramírez-Afonsín

arXiv 🔗 DOI 🔗

2018
Discrete and Computational Geometry
Complete Kneser Transversals

J. Chappelon, L. Martínez-Sandoval, L. Montejano, L. P. Montejano, J. Ramírez-Alfonsín

arXiv 🔗 DOI 🔗

2017
Advances in Applied Mathematics
A geometric Hall-type theorem

A. Holmsen, L. Martínez-Sandoval, L. Montejano

arXiv 🔗 DOI 🔗

2016
Proceedings of the AMS
Points defining triangles with distinct circumradii

E. Roldán-Pensado, L. Martínez

arXiv 🔗 DOI 🔗

2015
Acta Mathematica Hungarica

Proceedings

On prescribing total orders and preorders to pairwise distances of points in Euclidean space

V.H. Almendra-Hernández, L. Martínez-Sandoval

Link

2021
SMCG 2021 Book of Abstracts
Geometric systems of unbiased representatives

A. Banik, B. B. Bhattacharya, S. Bhore, L. Martínez-Sandoval

Link

2019
CCCG 2019 Proceedings
On Erdös-Szekeres-type problems for k-convex point sets

M. Balko, S. Bhore, L. Martínez-Sandoval, P. Valtr

DOI 🔗

2019
IWOCA 2019 Proceedings
The convex dimension of k-uniform hypergraphs

L. Martínez-Sandoval, A. Padrol

Link

2019
SMCG 2019 Book of Abstracts
Perfect rainbow polygons for colored point sets in the plane

D. Flores-Peñaloza, M. Kano, L. Martínez-Sandoval, D. Orden, J. Tejel, C.D. Tóth, J.Urrutia, B. Vogtenhuber

Link

2019
SMCG 2019 Book of Abstracts
Further consequences of the Colorful Helly Hypothesis

L. Martínez-Sandoval, E. Roldán-Pensado, N. Rubin

DOI 🔗

2018
SoCG, Leibniz International Proceedings in Informatics
Bounding a global red-blue proportion using local conditions

Márton Naszódi, Leonardo Martínez-Sandoval, Shakhar-Smorodinsky

arXiv 🔗

2017
EuroCG 2017 Book of Abstracts
Fractional Turan's theorem and bounds for the chromatic number

L. Martínez-Sandoval, L. Montejano

DOI 🔗

2015
Electronic Notes in Discrete Math.
Kneser Transversals

J. Chappelon, L. Martínez-Sandoval, L. Montejano, L. P. Montejano, J. Ramírez-Alfonsín

DOI 🔗

2015
Electronic Notes in Discrete Math.
Geometric Variants of Hall's Theorem through Sperner's Lemma

L. Martínez, L.Montejano

DOI 🔗

2013
Electronic Notes in Discrete Math.

Preprints

Geometric systems of unbiased representatives

A. Banik, B. B. Bhattacharya, S. Bhore, L. Martínez-Sandoval

arXiv 🔗

2020
ArXiV e-prints
Depth with respect to a family of convex sets

L. Martínez-Sandoval, R. Tamam

arXiv 🔗

2016
ArXiV e-prints
A sunflower anti-Ramsey theorem and its applications

L. Martínez-Sandoval, M. Raggi, E. Roldán-Pensado

arXiv 🔗

2015
ArXiV e-prints