Perfect discrete Morse functions on 2-complexes R Ayala, D Fernández-Ternero, JA Vilches Pattern Recognition Letters 33 (11), 1495-1500, 2012 | 35 | 2012 |
Lusternik–Schnirelmann category of simplicial complexes and finite spaces D Fernández-Ternero, E Macías-Virgós, JA Vilches Topology and its Applications 194, 37-50, 2015 | 29 | 2015 |
Discrete Morse theory on graphs R Ayala, LM Fernández, D Fernández-Ternero, JA Vilches Topology and its Applications 156 (18), 3091-3100, 2009 | 29 | 2009 |
A note on the pure Morse complex of a graph R Ayala, LM Fernández, A Quintero, JA Vilches Topology and its Applications 155 (17-18), 2084-2089, 2008 | 28 | 2008 |
Discrete topological complexity D Fernández-Ternero, E Macias-Virgós, E Minuz, J Vilches Proceedings of the American Mathematical Society 146 (10), 4535-4548, 2018 | 21 | 2018 |
Characterizing equivalent discrete Morse functions R Ayala, LM Fernández, JA Vilches Bulletin of the Brazilian Mathematical Society, New Series 40 (2), 225-235, 2009 | 20 | 2009 |
SIMPLICIAL LUSTERNIK− SCHNIRELMANN CATEGORY D Fernández-Ternero, E Macías-Virgós, E Minuz, JA Vilches Publicacions matematiques 63 (1), 265-293, 2019 | 18 | 2019 |
Morse inequalities on certain infinite 2-complexes R Ayala, LM Fernández, JA Vilches Glasgow Mathematical Journal 49 (2), 155-165, 2007 | 18 | 2007 |
The number of excellent discrete Morse functions on graphs R Ayala, D Fernández-Ternero, JA Vilches Discrete applied mathematics 159 (16), 1676-1688, 2011 | 12 | 2011 |
Discrete Morse inequalities on infinite graphs R Ayala, LM Fernández, JA Vilches the electronic journal of combinatorics, R38-R38, 2009 | 11 | 2009 |
Elementos de la teoría de grupoides y algebroides JN Valdés, ÁFT Villalón, JAV Alarcón Servicio Publicaciones UCA, 2006 | 11 | 2006 |
Strong Discrete Morse Theory and Simplicial L–S Category: A Discrete Version of the Lusternik–Schnirelmann Theorem D Fernández-Ternero, E Macías-Virgós, NA Scoville, JA Vilches Discrete & Computational Geometry 63, 607-623, 2020 | 10 | 2020 |
Discrete gradient fields on infinite complexes R Ayala, JA Vilches, G Jerše, NM Kosta Discrete and Continuous Dynamical Systems 30 (3), 623-639, 2011 | 10 | 2011 |
Perfect discrete Morse functions on triangulated 3-manifolds R Ayala, D Fernández-Ternero, JA Vilches Computational Topology in Image Context: 4th International Workshop, CTIC …, 2012 | 8 | 2012 |
Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem D Fernández-Ternero, E Macías-Virgós, D Mosquera-Lois, JA Vilches Journal of Topology and Analysis 16 (03), 323-346, 2024 | 7 | 2024 |
The number of critical elements of discrete Morse functions on non-compact surfaces R Ayala, LM Fernández, JA Vilches Topology and its Applications 157 (1), 90-101, 2010 | 7 | 2010 |
Matemáticas avanzadas y estadística para ciencias e ingenierías JCB Acevedo Universidad de Sevilla, 2006 | 7 | 2006 |
Fundamental theorems of Morse theory on posets D Fernández-Ternero, E Macías-Virgós, DM Lois, NA Scoville, JA Vilches arXiv preprint arXiv:2002.06933, 2020 | 5 | 2020 |
Counting excellent discrete Morse functions on compact orientable surfaces R Ayala, D Fernández-Ternero, JA Vilches Image-A: Applicable Mathematics in Image Engineering 1, 49-56, 2010 | 5 | 2010 |
A graph-theoretical approach to cancelling critical elements R Ayala, D Fernández-Ternero, JA Vilches Electronic Notes in Discrete Mathematics 37, 285-290, 2011 | 4 | 2011 |