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.
Abiad, A.; Ferrer-Anglada, N.; Lloveras, V.; José Vidal-Gancedo; Roth, S. Physica status solidi B. Basic solid state physics Vol. 248, num. 11, p. 2564-2567 DOI: 10.1002/pssb.201100110 Date of publication: 2011-10-21 Journal article
Ahmad, A.; López, S.C.; Muntaner-Batle, F.A.; Rius, M. Bulletin of the Australian Mathematical Society Vol. 84, num. 02, p. 310-321 DOI: 10.1017/S0004972711002292 Date of publication: 2011-10-15 Journal article
Comellas, F.; Miralles, A. Journal of physics A. Mathematical and theoretical Vol. 44, num. 20, p. 205102-1-205102-11 DOI: 10.1088/1751-8113/44/20/205102 Date of publication: 2011-04-20 Journal article