compositions and Words

Combinatorial Properties of Integer Compositions, Words, Catalan, and Motzkin words.

2025

Lattice points on polyominoes of inversion sequences

with J. L. Herrera and T. Mansour. Quaestiones Mathematicae. 43(8) (2025), 485-501. (web).

Enumerating runs, valleys, and peaks in Catalan words

with J.L. Baril, P. Harris, K. Harry, M. McClinton.The Art of Discrete and Applied Mathematics, 8 (2025), #P2.07. (web, pdf)

Flattened Catalan words

with J.L. Baril and P. E. Harris.Bulletin of the Institute of Combinatorics and Its Applications 104 (2025), 51--79. (pdf, web)

Arndt compositions with restricted parts, palindromes, and colored variants

with M. L. Nadji, M. Ahmia, and D. Checa*Journal of Integer Sequences, 28 (2025), Article 25.3.6. (pdf, web)
2024

Arndt Compositions: A generating functions approach

with D. Checa*.INTEGERS, (2024), #A35. (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)
2023

Enumeration of r-smooth words over a finite alphabet

with T. Mansour and D. Villamizar. Discrete Mathematics Letters. (11) (2023), 68-75. (web, pdf)
2022

Symmetric and asymmetric peaks in compositions

with T. Mansour and A. Moreno. Online Journal of Analytic Combinatorics, 17 (2022), #05. (web, pdf).

Avoiding a pair of patterns in multisets and compositions

with V. Jelínek, T. Mansour, and M. Shattuck.Advances in Applied Mathematics 133 (2022), 102286. (pdf, web)

Palindromic and colored superdiagonal compositions

with J. L. Mantilla* and W. Olaya-León. Revista Colombiana de Matemáticas 56(2) (2022), 133-143. (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)
2021

Statistics on bargraphs of Catalan words

with D. Callan and T. Mansour.Journal of Automata, Languages and Combinatorics 26(2021), 177–196. (pdf, web)

Enumerations on polyominoes determined by Fuss-Catalan words

with T. MansourThe Australasian Journal of Combinatorics. 81(3) (2021), 447–457. (pdf, web)

Counting lattice points on bargraphs of Catalan words

with T. Mansour and D. Toquica. Mathematics in Computer Sciences, 15 (2021), 701–713. (pdf, web)

n-Color palindromic compositions with restricted subscripts

with J. Bravo, J. L. Herrera, and M. Shattuck. Proceedings Mathematical Sciencies (Springer). 131(9) (2021), 1–13. (web)
2019

Some new restricted n-color composition functions,

with J. R. Acosta*, Y. Caicedo, J. P. Poveda*, and M. ShattuckJournal of Integer Sequences, 22 (2019), Article 19.6.4. (web, pdf).

Generalized Jacobsthal numbers and restricted k-ary words.

with M. Shattuck. Pure Mathematics and Applications, 28(1)(2019), 91--108. pdf

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