Research papers (Discrete Mathematics, Combinatorics, and Elementary Number Theory) Undergraduate student co-author indicated by an ∗ . List of select papers. For complete list see Scopus and Google Scholar
Lattice points on polyominoes of inversion sequences
with J.L. Baril and R. Flórez.Aequationes Mathematicae, 98 (2024), 1235-1264. (pdf, web)
Consecutive pattern-avoidance in Catalan words according to the last symbol
with J.L. Baril, D. Colmenares*, E. Silva*, L. Simbaqueba, and D. Toquica.RAIRO-Theoretical Informatics and Applications, 58 (2024). (pdf, web)
Counting symmetric and asymmetric peaks in Motzkin paths with air pockets
with J.L. Baril and R. Flórez.The Australasian Journal of Combinatorics. 89(2) (2024), 323–343. (pdf, web)
Lattice paths in corridors and cyclic corridors
with R. Flórez, J. González*, M. Matijasevick*, C. Pardo*, L. Simbaqueba*, and F. Velandia*. Contributions to Discrete Mathematics, 19 (2), (2024), 35-55 (pdf, web)
Last symbol distribution in pattern avoiding Catalan words
Generalized Schroder matrix and its combinatorial interpretation,
with V. Sirvent.Linear and Multilinear Algebra,66(2) (2018), 418–433. (web, pdf)
Divisibility properties of the r-Bell numbers and polynomials,
with I. Mező.Journal of Number Theory, 177 (2017), 136–152. (web, pdf)
Double parameter recurrences for polynomials in bi-infinite Riordan matrices and some derived identities,
with A. Luzon and M. A. Morón.Linear Algebra and its Applications, 511 (2016), 237–258. (web, pdf)
A generalization of the k-bonacci sequence from Riordan arrays
with V. Sirvent. Electronic Journal of Combinatorics, 22(1) (2015), P1.38,1–20. (web, pdf)
Applications in enumerative combinatorics of infinite weighted automata and graphs
with R. De Castro and A. Ramírez.Scientific Annals of Computer Science,24(1) (2014), 137–171. (web, pdf)
A generalization of the Fibonacci word fractal and the Fibonacci snowflake,
with R. De Castro and G. Rubiano. Theoretical Computer Science,528 (2014), 40–56. (web, pdf, arXiv).
Articles in Peer-Reviewed Conference Proceedings
Counting colored tilings on grids and graphs
with D. Villamizar.Electronic Proceedings in Theoretical Computer Science, 403 (2024), 164-168. Proceedings of the 13th edition of the conference on Random Generation of Combinatorial Structures. Polyominoes and Tilings (GASCom 2024), Bordeaux, France, 24-28th June 2024. (pdf, web)
Exterior corners on bargraphs of Motzkin words
with T. Mansour.Springer Proceedings in Mathematics & Statistics, 403 (2024). Combinatorics, Graph Theory and Computing SEICCGTC 2021, Boca Raton, USA, March 8-12, Vol 448, (2024). (web)
Some connections between restricted Dyck paths, polyominoes, and non-crossing partitions
with R. Flórez, F. Velandia*, and D. Villamizar.Springer Proceedings in Mathematics & Statistics, 403 (2024). Combinatorics, Graph Theory and Computing SEICCGTC 2021, Boca Raton, USA, March 8-12, Vol 448, (2024). (web)
Restricted Dyck paths on valleys sequence
with R. Flórez, T. Mansour, F. Velandia*, and D. Villamizar.Seminaire Lotharingien de Combinatoire 87B (2023) (Special issue for the 9th International Conference on Lattice Path Combinatorics and Applications). (pdf, web)
Polyominoes and graphs built from Fibonacci words
with S. Kirgizov. The Fibonacci Quarterly (Proceedings of the 20th International Conference on Fibonacci Numbers and Their Applications, University of Sarajevo July 25 - 29, 2022) 60(5) (2022), 196-211 (web, pdf)