The research of COMBGRAPH deals with extremal problems in Combinatorics and Graph Theory. The study of discrete configurations (which optimize one or several parameters) is a main source of challenges. This project includes problems related to: the optimization of metric parameters of graphs, coloring and labeling problems, connectivity and reliability, configurations in graphs, symmetric structures, tilings, algorithm design, and signal processing techniques. All these problems are mainly motivated by applications in network design, analysis for communication protocols, multiprocessor systems, and complex networks. We use combinatorial and algebraic techniques in graph theory, Fourier analysis and polynomial and probabilistic methods in combinatorics, together with techniques close to the combinatorial nature of the problems under consideration. This project gathers the activity of a well-established research group with almost 30 years of experience and with international projection.
Cavallo, B.; Delgado, J.; Kahrobaei, D.; Ventura, E. Journal of pure and applied algebra Vol. 221, num. 9, p. 2157-2179 DOI: 10.1016/j.jpaa.2016.10.008 Date of publication: 2016-10-25 Journal article
Delgado, J.; Ventura, E. Geometric and Asymptotic Group Theory with Applications p. 1- Presentation's date: 2016-06-17 Presentation of work at congresses
Delgado, J.; Cavallo, B.; Kahrobaei, D.; Ventura, E. New York Applied Algebra Colloquium p. 1- Presentation's date: 2015-11-30 Presentation of work at congresses
Delgado, J.; Ventura, E. Geometric and probabilistic methods in group theory and dynamical systems p. 8- Presentation's date: 2015-11-11 Presentation of work at congresses