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.
Fiol, M.; Fàbrega, J.; Diego, V. Electronic journal of linear algebra Vol. 36, num. 6, p. 629-644 DOI: 10.13001/ela.2020.5061 Date of publication: 2020-09 Journal article
Dalfo, C.; Fiol, M. Linear algebra and its applications Vol. 597, p. 94-112 DOI: 10.1016/j.laa.2020.03.015 Date of publication: 2020-07-15 Journal article
Dalfo, C.; Fiol, M. Electronic journal of linear algebra Vol. 36, num. 36, p. 446-460 DOI: 10.13001/ela.2020.5225 Date of publication: 2020-07-12 Journal article
Dalfo, C.; Fiol, M.; López, N. Annals of combinatorics Vol. 24, p. 405-424 DOI: 10.1007/s00026-020-00496-2 Date of publication: 2020-06 Journal article
Alcón, L.; Gutierrez, M.; Hernando, M.; Mora, M.; Pelayo, I. M. Theoretical computer science Vol. 806, p. 144-155 DOI: 10.1016/j.tcs.2019.01.039 Date of publication: 2020-02-02 Journal article
Barriere, E. Annual Bridges Conference. Mathematics, Music, Art, Architecture, Education, Culture p. 569-574 Presentation's date: 2020-01-22 Presentation of work at congresses
Abiad, A.; G. Coutinho; Fiol, M. Discrete mathematics Vol. 342, num. 10, p. 2875-2885 DOI: 10.1016/j.disc.2019.01.016 Date of publication: 2019-10-01 Journal article
Abajo, E.; Balbuena, C.; Bendala, M.; Marcote, F. Discrete mathematics Vol. 342, num. 10, p. 2900-2910 DOI: 10.1016/j.disc.2019.02.007 Date of publication: 2019-10-01 Journal article
Dalfo, C.; Fiol, M.; Miller, M.; Ryan, J.; Siran, J. Discrete applied mathematics Vol. 269, p. 68-76 DOI: 10.1016/j.dam.2018.10.040 Date of publication: 2019-09-30 Journal article
Dalfo, C.; Fiol, M.; Pavlíková, S.; Siran, J. European Conference on Combinatorics, Graph Theory and Applications p. 20 Presentation's date: 2019-08-27 Presentation of work at congresses
Hernando, M.; Mora, M.; Pelayo, I. M. Discrete applied mathematics Vol. 263, p. 195-203 DOI: 10.1016/j.dam.2018.09.034 Date of publication: 2019-06-01 Journal article
Balbuena, C.; Dalfo, C.; Martínez, B. Linear algebra and its applications Vol. 570, p. 138-147 DOI: 10.1016/j.laa.2019.02.010 Date of publication: 2019-06-01 Journal article
Balbuena, C.; Galeana, H.; Guevara, N. Discussiones mathematicae. Graph theory Vol. 39, num. 4, p. 855-866 DOI: 10.7151/dmgt.2104 Date of publication: 2019-06 Journal article
Dalfo, C.; Fiol, M. Journal of interconnection networks Vol. 19, num. 2, p. 1-13 DOI: 10.1142/S0219265919500051 Date of publication: 2019-06-01 Journal article
Lozano, A.; Mora, M.; Seara, C. Applied mathematics and computation Vol. 347, p. 734-740 DOI: 10.1016/j.amc.2018.11.043 Date of publication: 2019-04-15 Journal article
Balbuena, C.; Marcote, F. Applied mathematics and computation Vol. 343, p. 258-267 DOI: 10.1016/j.amc.2018.09.072 Date of publication: 2019-02-15 Journal article
Dalfo, C.; Fiol, M.; Siran, J. Journal of algebraic combinatorics Vol. 50, num. 4, p. 419-426 DOI: 10.1007/s10801-018-0862-y Date of publication: 2019-01-02 Journal article
Dalfo, C.; Fiol, M.; Pavlíková, S.; Siran, J. Acta mathematica universitatis comenianae Vol. LXXXVIII, num. 3, p. 593-600 Date of publication: 2019 Journal article
Dalfo, C.; Fiol, M. Butlletí de la Societat Catalana de Matemàtiques Vol. 34, num. 1, p. 33-51 DOI: 10.2436/20.2002.01.85 Date of publication: 2019 Journal article
Hernando, M.; Mora, M.; Pelayo, I. M. Discrete applied mathematics Vol. 266, p. 237-251 DOI: 10.1016/j.dam.2018.12.001 Date of publication: 2019-01-01 Journal article
Abreu, M.; Araujo-Pardo, G.; Balbuena, C.; Labbate, D. The Art of Discrete and Applied Mathematics Vol. 1, num. 2, p. 1-9 DOI: 10.26493/2590-9770.1219.034 Date of publication: 2018-12 Journal article
Hernando, M.; Mora, M.; Pelayo, I. M.; Cáceres, José; Puertas, M. Luz Discrete mathematics and theoretical computer science Vol. 20, num. 2, p. 1-18 Date of publication: 2018-10-26 Journal article