Research

Member of the research team

MATDIS - Matemáticas Discretas y Aplicaciones ERM.

Publications

13. J. Osorio, C. Trujillo and D. Ruiz, Design of two cryptographic functions from bose-type Sidon sets with differential 2-uniformity and near-optimal linearity, Journal of Applied Mathematics and Computing, Vol. 72, article number 184, 2026.

12. J. Medina and D. Ruiz, Dynamics of Network Growth and Evolution: Integrating Non-Constant Edge Growth, Mixed Attachment, and Reciprocity, Pramana - Journal of Physics, Vol. 99, article number 102, 2025.

11. R. Osorio, C Trujillo, and D. Ruiz, Construction of a Cryptographic Function based on Bose-type Sidon sets, AIMS Mathematics, Vol. 9, No. 7, pp. 17590-17605, 2024.

10. M. Murcia, N. Pérez, and D. Ruiz, Dynamics and asymptotic behaviour of directed modularity in heterogeneous networks, Pramana - Journal of Physics, Vol. 97, No. 3, p. 142, 2023.

9. D. Ruiz, Degree properties in heterogeneous networks, International Journal of Applied Mathematics, Vol. 34, No. 6, pp. 1187-1203, 2021. 

8. D. Ruiz, J. Campos, and J. Finke, Dynamics in Affinity-Weighted Preferential Attachment Networks, Journal of Statistical Physics, Vol. 181, No. 2, pp. 673-689, 2020. 

7. D. Ruiz and J. Finke, Lyapunov-based anomaly detection in preferential attachment networks, International Journal of Applied Mathematics and Computer Science, Vol. 29, No. 2, pp. 363-373 , 2019. 

6. D. Ruiz and J. Finke, Lyapunov-based anomaly detection in highly-clustered networks, Journal of Statistical Physics, Vol. 172, No. 4, pp. 1127-1146, 2018. 

5. D. Ruiz and J. Finke, Stability of the Jackson-Rogers model, In Proceeding of the Conference on Decision and Control, Melbourne, Australia, 2017.

4. D. Ruiz and C. Trujillo. Construction of Bh[g] sets in Product of Groups, Revista Colombiana De Matemáticas, Vol. 50,  No. 2, pp. 163-172, 2016.

3. D. Ruiz and J. Finke. Invalidation of Dynamic Network Models, In Proceeding of the American Control Conference, Washington, DC, 2013.

2. I. Fernández, J. Finke, and D. Ruiz. Ideal Free Distributions in Human Decision-Making, In Proceeding of the American Control Conference, Washington, DC, 2013.

1. J. Bravo, D. Ruiz, and C. Trujillo.  Cardinality of Sets Associated to B3 and B4 Sets, Revista Colombiana De Matemáticas, Vol. 46, No. 1, pp. 27-37, 2012.

Other Publications

2. D. Ruiz, J. Osorio, C. Urbano, y C. Trujillo. Secuencias Sonar y Conjuntos de Sidon, Revista de Ciencias (Universidad del Valle), Vol. 18, No. 1, pp. 33-42, 2014.

1. D. Ruiz, Y. Caicedo, and C. Trujillo. New Constructions of Sonar Sequences, International Journal of Basic and Applied Sciences (ISSN: 2227-2720). Vol 14, No. 1. pp. 12-16, 2014.

Research Group

Graduate students

3. María Alejandra Murcia. MSc. Thesis (Mathematics): Detección de eventos anómalos en un modelo de redes aleatorias heterogéneas con enlace mixto. 2025 (Co-Advisor: Cristhian Urbano).

2. Juan José Alegría. MSc. Thesis (Mathematics): Una generalización de los árboles binarios. 2025.

1. Julián Osorio, PhD. Thesis (Mathematics): Cryptographic functions based on constructions of Sidon sets in finite groups. 2024 (Co-Advisor).

Undergraduate students

9. Cristian Bravo, B.S. Thesis (Mathematics): Un modelo de generación de redes heterogéneas con alto coeficiente de agrupamiento. 2024-2025.

8. Julián Acosta, B.S. Thesis (Mathematics): Identificando los nodos más importantes en redes del mundo real. 2023-2024.

7. Cristian Angulo, B.S. Thesis  (Mathematics): Resiliencia en redes heterogéneas con crecimiento preferencial. 2023-2024 (Co-Advisor: Cristhian Urbano).

6. Nino Pérez, B.S. Thesis (Mathematics): Detección de estructura de comunidad en grafos con crecimiento preferencial y aleatorio. 2022-2023.

5. Natalia Saavedra, B.S. Thesis (Mathematics): Aspectos combinatorios del arreglo de Catalan. 2021-2022.

4. Alejandra Murcia, B.S. Thesis (Mathematics): Dinámicas de medidas estructurales en grafos dirigidos heterogéneos. 2020-2021.

3. Jan Medina, B.S. Thesis (Mathematics): Un criptosistema de clave pública basado en conjuntos Bh. 2013-2014.

2. Cristhian Urbano, B.S. Thesis (Mathematics): Conjunto de Sidon y secuencias sonar. 2013-2014.

1. Julián Osorio, B.S. Thesis (Mathematics): Conjunto de Sidon y secuencias sonar. 2013-2014.