Publications
Journals papers
On k-neighborly reorientations of oriented matroids, with Rangel Hernández-Ortiz and Kolja Knauer. European Journal of Combinatorics, 118, 20 p. 103938, (2024).
Mutual d-visibility in graphs, with Dorota Kuziak and Juan Alberto Rodríguez-Velázquez. Submitted.
Chen-Chvàtal's conjecture for graphs with restricted girth, Quaestiones Mathematicae, 1-24, (2024).
Roudneff's conjecture in dimension 4, with Rangel Hernández-Ortiz, Kolja Knauer and Manfred Scheucher. Experimental Mathematics, 1-5, (2024).
On the number of vertices of projective polytopes, with Natalia García-Colín and Jorge Luis Ramírez Alfonsín. Mathematika, 69(2) 535-561, (2023).
From w-domination in graphs to domination parameters in lexicographic product graphs, with Abel Cabrera Martínez and Juan Alberto Rodríguez-Velázquez. Bulletin of the Malaysian Mathematical Sciences Society, 46(109), 1-11 (2023).
Chomp on Kneser graphs and graphs and others (PDF), with Ignacio García-Marco and Kolja Knauer. International Journal of Game Theory, 50 603–621, (2021).
Weak Roman Domination in Rooted Product Graphs, with Rangel Hernández-Ortiz and Juan Alberto Rodríguez-Velázquez. AIMS Mathematics, 6(4) 3641-3653, (2021).
Secure Domination in Rooted Product Graphs, with Rangel Hernández-Ortiz and Juan Alberto Rodríguez-Velázquez. Journal of Combinatorial Optimization, 41(2) 401-413, (2021).
b-vectors of chordal graphs (PDF), with Luis Nuñez Betancourt. Journal of Commutative Algebra, 1-17, (2020).
Italian Domination in Rooted Product Graphs, with Rangel Hernández-Ortiz and Juan Alberto Rodríguez-Velázquez. Bulletin of the Malaysian Mathematical Sciences Society, 44 497-508, (2020).
On the secure total domination number of graphs, with Abel Cabrera Martínez and Juan Alberto Rodríguez-Velázquez. Symmetry, 11(9) 1165, (2019).
Total weak Roman domination in graphs, with Abel Cabrera Martínez and Juan Alberto Rodríguez-Velázquez. Symmetry, 11(6) 831, (2019).
Codimension two and three Kneser transversals (PDF), with Jonathan Chappelon, Leonardo Martínez-Sandoval, Luis Montejano and Jorge Luis Ramírez Alfonsín. SIAM Journal on Discrete Mathematics, 32(2), 1351-1363, (2018).
How many circuits determine an oriented matroid ? (PDF), with Kolja Knauer and Jorge Luis Ramírez Alfonsín. Combinatorica, 38(4) 861-885, (2018).
On the complexity of computing the k-restricted edge-connectivity of a graph (PDF), with Ignasi Sau. Theoretical Computer Science, 662 31-39, (2017).
Complete Kneser Transversals, (PDF) with Jonathan Chappelon, Leonardo Martínez-Sandoval, Luis Montejano and Jorge Luis Ramírez Alfonsín. Advanced Applied Mathematics, 82 83-101, (2017).
On Ramsey numbers of complete graphs with dropped stars (PDF), with Jonathan Chappelon and Jorge Luis Ramírez Alfonsín. Discrete Applied Mathematics, 210 200-206 (2016).
Roudneff’s Conjecturefor Lawrence Oriented Matroids (PDF), with Jorge Luis Ramírez Alfonsín. Electronic Journal of Combinatorics, 22(2) P2-3, 1-14 (2015).
Möbius function of semigroup posets through Hilbert series (PDF), with Jonathan Chappelon, Ignacio García-Marco and Jorge Luis Ramírez Alfonsín. Journal of Combinatorial Theory, Series A, (136) 238-251 (2015).
Connected covering numbers (PDF), with Jonathan Chappelon, Kolja Knauer and Jorge Luis Ramírez Alfonsín. Journal of Combinatorial Design Theory, 23(12) 534-549 (2015).
On the restricted edge-connectivity of 3-arc graphs (PDF), with Camino Balbuena and Pedro García-Vázquez. Discrete Applied Mathematics, 162 90-99 (2014).
On the super-restricted arc-connectivity of s-geodetic digraphs (PDF), with Camino Balbuena, Pedro García-Vázquez and Adriana Hansberg. Networks, 61 20-28 (2013).
Restricted arc-connectivity of generalized p-cycles (PDF), with Camino Balbuena, Pedro García-Vázquez and Adriana Hansberg. Discrete Applied Mathematics, 160 1325-1332 (2012).
k-restricted edge-connectivity in triangle-free graphs (PDF), with Andreas Holtkamp and Dirk Meierling. Discrete Mathematics, 160(9) 1345-1355 (2012).
On the λ’-optimality in graphs with odd girth g and even girth h (PDF), with Camino Balbuena, Pedro García-Vázquez and Julían Salas. Applied Mathematics Letters, 24(7) 1041-1045 (2011).
Superconnectivity of graphs with odd girth g and even girth h (PDF), with Camino Balbuena and Pedro García-Vázquez. Discrete Applied Mathematics, 159(2-3) 91-99 (2010).
On the connectivity and superconnected graphs with small diameter (PDF), with Camino Balbuena and Kim Marshall. Discrete Applied Mathematics, 158(5) 397-403 (2010).
Publications in conferences:
Roudneff's Conjecture in Dimension 4, with R. Hernández-Ortiz, K. Knauer and M. Scheucher. Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications, EuroComb, 561-567, (2023).
Ramsey for complete graphs with a dropped edge or triangle, with Jonathan Chappelon and Jorge Luis Ramírez Alfonsín. Seventh Latin-American Algorithms, Graphs and Optimization Symposium (LAGOS’13). Electronic Notes in Discrete Mathematics, (62) 21-25, (2017).
On the complexity of computing the k-restricted edge-connectivity of a graph, with Ignasi Sau. Proceedings of the 40th International Workshop on Graph-Theoretic Concepts in Computer Science (WG15). Munich, Germany, 219-236 (2016).
Kneser Transversals, with Jonathan Chappelon, Leonardo Martínez, Luis Montejanoa and Jorge Luis Ramírez Alfonsín. Electronic Notes in Discrete Mathematics, (50) 385-390 (2015).
Connected covering numbers, with Jonathan Chappelon, Kolja Knauer and Jorge Luis Ramírez Alfonsín. VII Jornadas de Matemática Discreta y Algorítmica. Universidad Rovira i Virgili, Tarragona, 255-262, (2014).
On the restricted edge-connectivity of 3-arc graphs, with Camino Balbuena and Pedro García-Vázquez. Proceedings of the 3rd International Workshop on Optimal Networks Topologies (IWONT). Universitat Politècnica de Catalunya, 79-90, (2010).
On the restricted edge-connectivity of 3-arc graphs, with Camino Balbuena and Pedro García-Vázquez. VII Jornadas de Matemática Discreta y Algorítmica. Universidad de Cantabria, 101-108, (2010).
On the (lambda)’-optimality of graphswith odd girth g and even girth h, with Camino Balbuena, Pedro García-Vázquez and Julían Salas. Avances en Matemática Discreta en Andalucía y en el Algarve. Universidad de Sevilla, 41-44, (2009).
Superconectividad en grafos con cintura impar g y cintura par h, with Camino Balbuena and Pedro García-Vázquez. Avances en Matemática Discreta en Andalucía y en el Algarve. Universidad de Sevilla, 45-49, (2009).
On the superconnectivity in graphs with odd girth g and even girth h, with Camino Balbuena and Pedro García-Vázquez. Electronic Notes in Discrete Mathematics (EuroComb 2009). Université Bordeaux 1, (34) 537-541, (2009).
On planar partial 3-trees, DocCourse in Combinatorics and Geometry. Centre de Reserca Matemàtica (CRM), Universidad Autónoma de Barcelona, (2008).
Some results on the k-restricted edge connectivity of graphs, with Diego González-Moreno, Camino Balbuena and Xavier Marcote. VI Jornadas de Matemática Discreta y Algorítmica. Universidad de Lleida, Ediciones y Publicaciones de la UDL, 377-384, (2008).