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El grupo DiscreMath: Matemáticas Discretas y Ciencias de la Computación tiene como propósito investigar problemas de tipo discreto que surjan de la interacción entre las matemáticas y las ciencias de la computación. Para ello se apropiará y desarrollará conocimientos en áreas como la teoría de autómatas, combinatoria de palabras, teoría de grafos, combinatoria enumerativa, teoría de la información, entre otras.
Código Colciencias: COL0187164
Líder del grupo: JOSÉ LUIS RAMIREZ
Departamento de Matemáticas
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Profesor Asistente, Departamento de Matemáticas, Universidad Nacional de Colombia.
Doctorado en Ciencias Matemáticas, Universidad Nacional de Colombia.
Información de contácto: jlramirezr@unal.edu.co
Associate Professor, Department of Mathematics and computer Science, The Citadel Charleston
Doctor en Filosofía. Matemáticas, Universidad de Binghamton (SUNY)
Maestría en Matemáticas, Universidad Nacional de Colombia.
Pregrado: Matemáticas, Universidad Nacional de Colombia.
R. Flórez, L. Junes, J. L. Ramírez. Counting asymmetric weighted pyramids in non-decreasing Dyck paths. The Australasian Journal of Combinatorics. 79(1) (2021), 123–140.
A. Luzon, M. A. Morón, J. L. Ramírez. On Ward’s differential calculus, Riordan matrices and Sheffer polynomials. Linear Algebra and its Applications, 610 (2021), 440–473.
J. Bravo, J. L. Herrera, J. L. Ramírez, M. Shattuck. n-Color palindromic compositions with restricted subscripts. Proceedings Mathematical Sciencies (Springer). 131(9) (2021), 1-13.
J. Mendivelso, S. V. Thankachan, Y. Pinzón. A brief history of parameterized matching problems. Discrete Applied Mathematics, 274 (2020), 103-115.
C. Mejia, J. A. Montoya. Stoichiometric Network Analysis: a Critical Review of its Algorithmic Strength, Match Communications in Mathematical and in Computer Chemistry 83(2020), 5-32.
J. Agreda, E. Cruz, J. A. Montoya. CHEMical KINetics SimuLATOR (Chemkinlator): A friendly user interface for chemical kinetics simulations. Revista Colombiana de Química 49 (1) (2020), 40-47.
R. Flórez, L. Junes, J. L. Ramírez. Enumerating symmetric and asymmetric peaks in Dyck paths. Discrete Mathematics, 343 (2020).
B. Bényi, M. Méndez, J. L. Ramírez. Generalized ordered set partitions. The Australasian Journal of Combinatorics. 77(2) (2020), 157–179.
I. Mező, J. L. Ramírez. The r-alternating permutations. Aequationes Mathematicae, 94 (2020), 37–57.
A. Brewer, R. Flórez, A. Gregory, Q. Jones, D. Narayan, L. Rodriguez. Infinite families of asymmetric graphs. AKCE International Journal of Graphs and Combinatorics 2020 17, 1000-1009.
H. A. Newman, H. Miranda, R. Flórez, D. Narayan. Uniform Edge Betweenness Centrality. Electron. J. Graph Theory Appl. (EJGTA), 8.2 (2020), 265-300.
R. Flórez, T. Zaslavsky, Projective Planarity of Matroids of 3-Nets and Biased Graphs. Australasian Journal of Combinatorics, 76.2 (2020), 299–338.
H. Ching, R. Flórez, A. Mukherjee. Families of Integral Cographs within a Triangular Array. Special Matrices 8 (2020), 257–273.
C. Mejia, J. A. Montoya. Stoichiometric Network Analysis: a Critical Review of its Algorithmic Strength, Match Communications in Mathematical and in Computer Chemistry 83(2019), 5-32.
J. A. Montoya, E. Cruz, J. Ágreda. Computing the Parameter Values for the Emergence of Homochirality in Complex Networks. Life 9(3) (2019), 1-23.
C. Mejia, J. A. Montoya. On the Algebraic Analysis of Chiral Amplification in Chemical Reaction Networks. Match Communications in Mathematical and in Computer Chemistry (82)(2019), 5 - 28.
B. Bényi, M. Méndez, J. L. Ramírez, T. Wakhare. Restricted r-Stirling numbers and their combinatorial applications. Applied Mathematics and Computation, 348 (2019), 186–205.
R. Flórez, L. Junes, J. L. Ramírez. Enumerating several aspects of non-decreasing Dyck paths. Discrete Mathematics, 342 (2019), 3079-3097.
I. Mező, J. L. Ramírez. A combinatorial approach to derangement matrix of type B. Linear Algebra and its Applications, 582 (2019), 156-180.
J. Acosta, Y. Caicedo, J. Poveda, J. L. Ramírez, M. Shattuck. Some new restricted n-color composition functions. Journal of Integer Sequences, 22 (2019), Article 19.6.4.
J. B. Caicedo, V. Moll, J. L. Ramírez, D. Villamizar. Extensions of set partitions and permutations. Electronic Journal of Combinatorics, 26(2) (2019), P2.20, 1–12.
B. Bényi, J. L. Ramírez. Some applications of S-restricted set partitions. Periodica Mathematica Hungarica 78 (2019), 110–127.
I. Mező, J. L. Ramírez, C. Y. Wang. On generalized derangements and some orthogonal polynomials. INTEGERS, 19 #A6 (2019), 1-19.
S Amrouche, H. Belbachir, J. L. Ramírez, Unimodality, linear recurrences and combinatorial properties associated to rays in the generalized Delannoy matrix, Journal of Difference Equations and Application, 25(8) (2019), 1200-1215.
R. Florez, T. Zaslavsky, Biased Graphs. VI. Synthetic Geometry. European Journal of Combinatorics 81 (2019), 119-141.
R. Florez, E. Carter, B. Ek, D. A. Gonzalez, D. Narayan, Intersecting Geodesics and Centrality Graphs. Involve-A journal of Mathematics. 12.1 (2019), 31-43.
J. Mendivelso, R. Niquefa, Y. Pinzón, G. Hernández. New Algorithms for δγ-Order Preserving Matching. Ingeniería 23(2) (2018), 190-202.
J. Ágreda, C. Mejía J. Montoya. On the linear algebra of biological homochirality. Journal Of Mathematical Chemistry 56 (2018), 1782 – 1810.
J. Montoya, C. Mejía, R. D. Bourdón, E. Cruz, J. Ágreda. On the stability analysis of chemical networks and the emergence of homochirality. Match-Communications in Mathematical and in Computer Chemistry 80 (2018), 311 – 344.
J. Montoya, C. Nolasco. On the synchronization of planar automata. Lecture Notes In Computer Science, voll 10792 (2018), 93–104.
J. Montoya, C. Nolasco. Some remarks on synchronization, games and planar automata. Electronic Notes In Theoretical Computer Science. 339 (2018), 85 - 97.
D. Casas, J. Montoya, Automata Specialities: Slovak Cerny Automata. Applied Mathematical Sciences 12(2018), 959 – 974.
C. Mejía, J. Montoya, C. Nolasco. The Power of Writing, a Pebble Hierarchy and a Narrative for the Teaching of Automata Theory. Electronic Notes In Theoretical Computer Science vol 339 (2018) 99 - 110.
A. Gómez, C. Mejía, J. Montoya. On the linear shareablity of matroids. Applied Mathematical Sciences 11 (2018) 2351 - 2365.
É. Czabarka, R. Flórez, L. Junes, J. L. Ramírez. Enumerations of peaks and valleys on non-decreasing Dyck paths. Discrete Mathematics, 341 (2018), 2789–2807.
V. Moll, D. Villamizar, J. L. Ramírez. Combinatorial and arithmetical properties of the restricted and associated Bell and factorial numbers. Journal of Combinatorics, 9(4) (2018), 693–720.
R. Flórez, J. L. Ramírez. Some enumerations on non-decreasing Motzkin paths. The Australasian Journal of Combinatorics. 72(1) (2018), 138–154.
J. L. Ramírez, S. Villamarín, D. Villamizar. Eulerian numbers associated with arithmetical progressions. Electronic Journal of Combinatorics, 25(1) (2018), P1.48, 1–12.
J. L. Ramírez, V. Sirvent. Generalized Schroder matrix and its combinatorial interpretation. Linear and Multilinear Algebra. 66(2) (2018), 418–433.
J.-H. Jung, I. Mező, J. L. Ramírez. The r-Bessel and restricted r-Bell numbers. The Australasian Journal of Combinatorics. 70(2) (2018), 202–220.
R. Flórez, L. Junes, J. L. Ramírez. Further results on paths in an n-dimensional cubic lattice. Journal of Integer Sequences, 21 (2018), Article 18.1.2.
C. Corcino, R. Corcino, I. Mező, J. L. Ramírez. Some polynomials associated with the r-Whitney numbers. Proceedings - Mathematical Sciences (Springer), 128(27) (2018), 1-25.
R. Florez, O. Haynes, D. Narayan and A. Strang, Enumerating shortest paths and determining edge betweenness centrality in Cartesian products of paths and cycles. Bulletin of the Institute of Combinatorics and its Applications, 83 (2018), 29-51.
A. Montoya, C. Nolsaco. On the synchronization of small sets of states. Applied Mathematical Sciences 11(2017) 21151–2173.
R. Niquefa, J. Mendivelso, G. Hernández, Y. Pinzón. Segment and Fenwick Trees for Approximate Order Preserving Matching. Communications in Computer and Information Science. In Workshop on Engineering Applications. (WEA 2017), 131-143.
I. Mező, J. L. Ramírez. Divisibility properties of the r-Bell numbers and polynomials. Journal of Number Theory. 177, 136-152, 2017.
I. Mező, J. L. Ramírez. A q-symmetric algorithm and its applications to some combinatorial sequences. Online Journal of Analytic Combinatorics. 12(7), 2017.
T. Komatsu, J. L. Ramírez. Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete r-Stirling numbers. Aequationes Mathematicae. 91 (2017), 1055–1071.
José Luis Ramirez jlramirezr@unal.edu.co
Departamento de Matemáticas, Facultad de Ciencias.
Universidad Nacional de Colombia, Sede Bogotá.
