Martínez-Sandoval, Leonardo; Roldán-Pensado, Edgardo On a colorful problem by Dol’nikov concerning translates of convex bodies. (English) Zbl 07790183 Discrete Math. 347, No. 3, Article ID 113789, 4 p. (2024). Reviewer: Fabian Mußnig (Wien) MSC: 52A10 52A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Almendra-Hernández, Víctor Hugo; Martínez-Sandoval, Leonardo On prescribing total orders and preorders to pairwise distances of points in Euclidean space. (English) Zbl 1487.52010 Comput. Geom. 107, Article ID 101898, 10 p. (2022). MSC: 52A37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banik, Aritra; Bhattacharya, Bhaswar B.; Bhore, Sujoy; Martínez-Sandoval, Leonardo Geometric systems of unbiased representatives. (English) Zbl 1483.68461 Inf. Process. Lett. 176, Article ID 106232, 7 p. (2022). MSC: 68U05 68Q17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martínez-Sandoval, Leonardo; Padrol, Arnau The convex dimension of hypergraphs and the hypersimplicial Van Kampen-Flores theorem. (English) Zbl 1466.05153 J. Comb. Theory, Ser. B 149, 23-51 (2021). MSC: 05C65 05C60 52B05 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Flores-Peñaloza, David; Kano, Mikio; Martínez-Sandoval, Leonardo; Orden, David; Tejel, Javier; Tóth, Csaba D.; Urrutia, Jorge; Vogtenhuber, Birgit Rainbow polygons for colored point sets in the plane. (English) Zbl 1466.52007 Discrete Math. 344, No. 7, Article ID 112406, 16 p. (2021). MSC: 52A37 52C10 52A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Damásdi, Gábor; Martínez-Sandoval, Leonardo; Nagy, Dániel T.; Nagy, Zoltán Lóránt Triangle areas in line arrangements. (English) Zbl 1448.52019 Discrete Math. 343, No. 12, Article ID 112105, 11 p. (2020). MSC: 52C30 52C10 52A38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balko, Martin; Bhore, Sujoy; Martínez-Sandoval, Leonardo; Valtr, Pavel On Erdős-Szekeres-type problems for \(k\)-convex point sets. (English) Zbl 1448.52013 Eur. J. Comb. 89, Article ID 103157, 21 p. (2020). MSC: 52C10 × Cite Format Result Cite Review PDF Full Text: DOI
Martínez-Sandoval, Leonardo; Roldán-Pensado, Edgardo; Rubin, Natan Further consequences of the colorful Helly hypothesis. (English) Zbl 1472.52011 Discrete Comput. Geom. 63, No. 4, 848-866 (2020). MSC: 52A35 52C45 05D15 52A20 52B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Balko, Martin; Bhore, Sujoy; Martínez Sandoval, Leonardo; Valtr, Pavel On Erdős-Szekeres-type problems for \(k\)-convex point sets. (English) Zbl 1432.52031 Colbourn, Charles J. (ed.) et al., Combinatorial algorithms. 30th international workshop, IWOCA 2019, Pisa, Italy, July 23–25, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11638, 35-47 (2019). MSC: 52C10 52C05 × Cite Format Result Cite Review PDF Full Text: DOI
Martínez-Sandoval, Leonardo; Roldán-Pensado, Edgardo; Rubin, Natan Further consequences of the colorful Helly hypothesis. (English) Zbl 1491.52011 Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 99, Article 59, 14 p. (2018). MSC: 52A35 × Cite Format Result Cite Review PDF Full Text: DOI
Knauer, Kolja; Martínez-Sandoval, Leonardo; Ramírez Alfonsín, Jorge Luis On lattice path matroid polytopes: integer points and Ehrhart polynomial. (English) Zbl 1494.52014 Discrete Comput. Geom. 60, No. 3, 698-719 (2018). MSC: 52B40 52B20 05B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Chappelon, J.; Martínez-Sandoval, L.; Montejano, L.; Montejano, L. P.; Ramírez Alfonsín, J. L. Codimension two and three Kneser transversals. (English) Zbl 1392.52003 SIAM J. Discrete Math. 32, No. 2, 1351-1363 (2018). MSC: 52A35 52C40 52B55 68-04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Knauer, Kolja; Martínez-Sandoval, Leonardo; Ramírez Alfonsín, Jorge Luis A Tutte polynomial inequality for lattice path matroids. (English) Zbl 1377.05089 Adv. Appl. Math. 94, 23-38 (2018). MSC: 05C31 05B35 05C30 05C15 52B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chappelon, J.; Martínez-Sandoval, L.; Montejano, L.; Montejano, L. P.; Ramírez Alfonsín, J. L. Complete Kneser transversals. (English) Zbl 1352.52017 Adv. Appl. Math. 82, 83-101 (2017). MSC: 52B40 52A35 05C15 52C40 52B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Holmsen, Andreas F.; Martinez-Sandoval, Leonardo; Montejano, Luis A geometric Hall-type theorem. (English) Zbl 1331.05219 Proc. Am. Math. Soc. 144, No. 2, 503-511 (2016). MSC: 05D15 52C35 52B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martínez-Sandoval, Leonardo; Tamam, Roee Depth with respect to a family of convex sets. arXiv:1612.03435 Preprint, arXiv:1612.03435 [math.CO] (2016). MSC: 52A35 52A20 × Cite Format Result Cite Full Text: arXiv OA License
Chappelon, Jonathan; Montejano, Luis Pedro; Ramirez-Alfonsin, Jorge; Martínez-Sandoval, Leonardo; Montejano, Luis Kneser transversals. (English) Zbl 1347.05242 Campêlo, Manoel (ed.) et al., LAGOS ’15. Selected papers of the 8th Latin-American algorithms, graphs, and optimization symposium, Praia das Fontes, Beberibe, Brazil, May 11–15, 2015. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 50, 385-390, electronic only (2015). MSC: 05D15 05C15 05C65 × Cite Format Result Cite Review PDF Full Text: DOI
Martínez-Sandoval, Leonardo; Raggi, Miguel; Roldán-Pensado, Edgardo A sunflower anti-Ramsey theorem and its applications. arXiv:1505.05170 Preprint, arXiv:1505.05170 [math.CO] (2015). × Cite Format Result Cite Full Text: arXiv OA License