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Jose Antonio Vilches Alarcon
Jose Antonio Vilches Alarcon
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Title
Cited by
Cited by
Year
Perfect discrete Morse functions on 2-complexes
R Ayala, D Fernández-Ternero, JA Vilches
Pattern Recognition Letters 33 (11), 1495-1500, 2012
352012
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
292015
Discrete Morse theory on graphs
R Ayala, LM Fernández, D Fernández-Ternero, JA Vilches
Topology and its Applications 156 (18), 3091-3100, 2009
292009
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
282008
Discrete topological complexity
D Fernández-Ternero, E Macias-Virgós, E Minuz, J Vilches
Proceedings of the American Mathematical Society 146 (10), 4535-4548, 2018
212018
Characterizing equivalent discrete Morse functions
R Ayala, LM Fernández, JA Vilches
Bulletin of the Brazilian Mathematical Society, New Series 40 (2), 225-235, 2009
202009
SIMPLICIAL LUSTERNIK− SCHNIRELMANN CATEGORY
D Fernández-Ternero, E Macías-Virgós, E Minuz, JA Vilches
Publicacions matematiques 63 (1), 265-293, 2019
182019
Morse inequalities on certain infinite 2-complexes
R Ayala, LM Fernández, JA Vilches
Glasgow Mathematical Journal 49 (2), 155-165, 2007
182007
The number of excellent discrete Morse functions on graphs
R Ayala, D Fernández-Ternero, JA Vilches
Discrete applied mathematics 159 (16), 1676-1688, 2011
122011
Discrete Morse inequalities on infinite graphs
R Ayala, LM Fernández, JA Vilches
the electronic journal of combinatorics, R38-R38, 2009
112009
Elementos de la teoría de grupoides y algebroides
JN Valdés, ÁFT Villalón, JAV Alarcón
Servicio Publicaciones UCA, 2006
112006
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
102020
Discrete gradient fields on infinite complexes
R Ayala, JA Vilches, G Jerše, NM Kosta
Discrete and Continuous Dynamical Systems 30 (3), 623-639, 2011
102011
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
82012
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
72024
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
72010
Matemáticas avanzadas y estadística para ciencias e ingenierías
JCB Acevedo
Universidad de Sevilla, 2006
72006
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
52020
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
52010
A graph-theoretical approach to cancelling critical elements
R Ayala, D Fernández-Ternero, JA Vilches
Electronic Notes in Discrete Mathematics 37, 285-290, 2011
42011
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