Published Articles
- GCD Property of the Generalized Star of David in the Generalized Hosoya Triangle, The Journal of Integer Sequences,Vol. 17 (2014), Article 14.3.6.
- Teaching Inverse Functions with Cryptography, Memoirs of the 12th International Congress on Mathematical Education, Seoul, South Korea, July 8 -15, 2012.
- GDC Properties in the Hosoya's Triangle, The Fibonacci Quarterly, 50.2, (2012) 163-174.
- A Relation Between Triangular Number and Prime Numbers, The Electronic Journal of Combinatorial Number Theory, 2011. This article can be downloaded here (article number A50).
- A Duality Theorem in Oriented Matroids. Memoirs of the Fourth International Conference of Algebra, Number Theory, Combinatorics and Applications, 2010. This article is in Spanish and you can download it by clicking here.
Submitted Articles Under Review
- 9-modularity and GCD Properties of Generalized Fibonacci Numbers, Submitted to “The Electronic Journal of Combinatorial Number Theory’’.
- Some Enumerations on Non-decreasing Dyck Paths, Submitted to “The Electronic Journal of Combinatorics’’.
Articles In Progress
- Convolutions in the Geometry of Hosoya’s Triangle, 16 pages. Expected Completion date May 2014.
- The Problem of Existence of Retractions in Module-Finite Extensions, 8 pages. Expected Completion date October 2015.
- Teaching Inverse Functions with Cryptography: An Interactive Approach, 7 pages. Expected Completion date November 2015.
- A study of non-Abelian Groups with Abelian Automorphism Groups, 5 pages. Expected Completion date January 2016.
- Complex Apollonian Circles and Bias Graphs, 9 Pages. Expected Completion date April 2016.
- An Example of a Highly Non-Euclidean Oriented Matroid, 12 Pages. Expected Completion date April 2016.