FQM371: Combinatorics and optimization: applications of discrete mathematical models

Submitted by francisco.grimaldi on Mon, 08/31/2020 - 19:27
Size of the team
number of researchers number of supporting staff number of PhD students
Composition of Joint Unit of Research, if relevant

The group mainly focuses on the study of various mathematical problems, from both theoretical and applied ways, using mostly discrete methods. Thus, mathematical optimization, asymptotic and statistical modeling, combinatorics, and graph theory are fundamental tools for the development of the research of the group members.
The most important lines of the group are related to combinatorics and graph theory and their applications in problems of computer science and social networks, specifically in problems of detecting communities in networks, and in measuring the privacy of social networks. In addition, the modeling of processes linked to solid and fluid mechanics, and the statistical modeling of real processes and problems also focus the group's attention.
The group has a high number of publications in journals indexed in prestigious databases, a large number of presentations in national and international conferences, and a significant number of collaborators in national and foreign centers.

PI name
Ismael Gonzalez Yero
PI bio

ORCID ID: 0000-0002-1619-1572

"Contracted Professor Doctor" of the Department of Mathematics of the UCA from 27-09-2016. Doctor by the "Universitat Rovira i Virgili" with date: 13-12-2010, and Bachelor in Mathematics by the "Universidad de Oriente", Cuba with date 23-04-2003. Author of more than 90 scientific articles. Participant in two national projects. Granted of 1 doctoral fellow at the "Universitat Rovira i Virgili" and 4 international mobility grants (1 Ferran Sunyer i Balaguer Grant) and (3 José Castillejo Grants for Young Doctors). Keynote speaker at 4 international conferences and speaker at more than 30.

Contact person and e-mail
Contact person
Ismael Gonzalez Yero
Contact person e-mail
Short description of research profile

Optimal design of discrete mathematical models and their applications.
Application of neural networks and genetic algorithms
Application of Data Mining Technology
Simulation and estimation of cosmological parameters
Mathematical modelling, asymptotic analysis, fluid mechanics and solid mechanics
Study of reliability and vulnerability in networks by applying techniques from the Graph Theory
Study of different invariants in graphs, metric dimension and parameters related to connectivity and restricted connectivity in finite graphs and digraphs


Representative publications

1. On analyzing and evaluating privacy measures for social networks under active attack DasGupta, Bhaskar; Mobasheri, Nasim; Yero, Ismael G. Information Sciences Elsevier (2019) Vol: 473. Pgs: 87-100
2. k-metric antidimension: a privacy measure for social graphs Trujillo-Rasúa, Rolando; Yero, Ismael-G Information Sciences. 2016. Vol: 328. Pgs. 403-417.
3. Mixed metric dimension of graphs Kelenc, Aleksander; Kuziak, Dorota; Taranenko, Andrej; Yero, Ismael-G Applied Mathematics and Computation. 2017. Vol: 314. Pgs. 429-438.
4. On the justification of viscoelastic flexural shell equations Castiñeira, Gonzalo; Rodríguez-Arós, Angel Computers & Mathematics with Applications. 2019. Vol: 77. Num: 11. Pgs. 2933-2942
5. On the metric dimension of corona product graphs Yero, Ismael-G; Kuziak, Dorota; Rodríguez-Velázquez, Juan-Alberto Computers & Mathematics with Applications. 2011. Vol: 61. Num: 9. Pgs. 2793-2798.

Link to extended list of publication

Technology Expertise

- Algorithmic, computational and combinatorial studies related to graphs and networks.
- Studies about comunity detection in networks.
- Studies of evaluation of privacy in social networks.
- Modeling problems using statistic techniques.
- Asymptotic analysis of domains with one or several dimensions depending on a small non-dimensional parameter, mathematical justification of the reduced models obtained by means of this technic and study of the existence, uniqueness and regularity of the solución of the corresponding problems.