BERMUDO NAVARRETE, SERGIO
![Sergio Bermudo Navarrete](/cms2/export/shared/.content/imagenes/sbernav.jpg_2084533765.jpg)
- Area
- MATEMATICA APLICADA
- Teaching category
- CATEDRATICO/A DE UNIVERSIDAD
- Academic position
- Full Professor
- sbernav@upo.es
- Phone number
- Ext. 67980
- Office
- 3-2-16
- Tutorial schedule
Taught subjects
Links of interest
International Journal Publications
- S. Bermudo, C.H. Mancera, P.J. Paúl. Lifting the solutions of a Toeplitz type equation; the semigroup case X=T_sXT_s^*. Note di Matematica 25, 2006, 231-257.
- S. Bermudo, S.A.M. Marcantognini, M.D. Morán. Operators of Hankel type. Czechoslovak Mathematical Journal 56 nº4, 2006, 1147-1163.
- S. Bermudo, C.H. Mancera, P.J. Paúl, V. Vasyunin. Quasi-similarity of contractions having a $2x1$ characteristic function. Revista Matemática Iberoamericana 23 nº2, 2007, 677-704.
- S. Bermudo, A. Montes-Rodríguez, S. Shkarin. Orbits of operators commuting with the Volterra operador. Journal de Mathématiques Pures et Appliquées 89 nº2, 2008, 145-173.
- S. Bermudo, C. H. Mancera, P.J. Paúl and V. Vasyunin. Quasi-similarity of contractions having a $2x2$ singular characteristic function. Journal of Mathematical Analysis and Applications 345, 2008, 372-386.
- S. Bermudo, A. Fernández-Valles. Common invariant subspaces for N-tuples of positive operators acting on topological vector spaces. Taiwanese Journal of Mathematics 13 nº4, 2009, 1283-1290.
- J. M. Sigarreta, S. Bermudo, H. Fernau. On the complement graph and defensive k-alliances. Discrete Applied Mathematics 157, 2009, 1687-1695.
- S. Bermudo, C. Dolores, P. Ruesga, J. M. Sigarreta. The Klein group and its applications. Applied Mathematical Sciences 3 nº36, 2009, 1773-1785.
- S. Bermudo, A. Fernández-Valles. Joint compact-friendly multiplication operators. Journal of Advanced Research in Pure Mathematics 1 nº2, 2009, 34-40.
- S. Bermudo, J. A. Rodríguez-Velázquez, J. M. Sigarreta, I. G. Yero. On geodetic and k-geodetic sets in graphs. ARS Combinatoria 96, 2010, 469-478.
- S. Bermudo, J. A. Rodríguez-Velázquez, J. M. Sigarreta, I. G. Yero. On global offensive k-alliances in graph. Applied Mathematics Letters 23 nº12, 2010, 1454-1458.
- S. Bermudo, J. M. Rodríguez, J. M. Sigarreta, J. M. Vilaire. Mathematical properties of Gromov hyperbolic graphs. AIP Conference Proceedings 1281, 2010, 575-578.
- I. G. Yero, S. Bermudo, J. A. Rodríguez-Velázquez, J. M. Sigarreta. Partitioning a graph into defensive k-alliances. Acta Mathematica Sinica 27 nº 1, 2011, 73-82.
- J. M. Sigarreta, I. G. Yero, S. Bermudo, J. A. Rodríguez-Velázquez. Partitioning a graph into offensive k-alliances. Discrete Applied Mathematics159, 2011, 224-231.
- J. A. Rodríguez-Velázquez, J. M. Sigarreta, I. G. Yero, S. Bermudo. Alliance Free and alliance cover set. Acta Mathematica Sinica 27 nº 3, 2011, 497-504.
- S. Bermudo, J. M. Rodríguez, J. M. Sigarreta, E. Tourís. Hyperbolicity and complement of graphs. Applied Mathematics Letters 24, 2011, 1882-1887.
- S. Bermudo, J. M. Rodríguez, J. M. Sigarreta. Computing the hyperbolicity constant. Computers and Mathematics with Applications 62, 2011, 4592-4595.
- S. Bermudo, H. Fernau. Lower bounds on the differential of a graph. Discrete Mathematics 312, 2012, 3236-3250.
- I. G. Yero, J. A. Rodríguez-Velázquez, S. Bermudo. Alliance free sets in Cartesian product graphs. Discrete Applied mathematics 161, 2013, 1618-1625.
- S. Bermudo, J. M. Rodríguez, J. M. Sigarreta, J. M. Vilaire. Gromov hyperbolic graphs. Discrete Mathematics 313 nº15, 2013, 1575-1585.
- S. Bermudo, H. Fernau. Computing the differential of a graph: hardness, approximability and exact algorithms.Discrete Applied Mathematics 165, 2014, 69-82.
- S. Bermudo, H. Fernau, J. M. Sigarreta. The differential and the Roman domination number of a graph. Applicable Analysis and Discrete Mathematics 8, 2014, 155-171.
- S. Bermudo, J. C. Hernández-Gómez, J. M. Rodríguez, J. M. Sigarreta. Relations between the differential and parameters in graphs. Electronic Notes in Discrete Mathematics 46, 2014, 281–288.
- S. Bermudo, J. M. Rodríguez, O. Rosario, J. M. Sigarreta. Graphs with small hyperbolicity constant. Electronic Notes in Discrete Mathematics 46, 2014, 265–272.
- S. Bermudo, H. Fernau. Combinatorics for smaller kernels: the differential of a graph. Theoretical Computer Science 562, 2015, 330-345.
- S. Bermudo, L. De la Torre, A. M. Martín-Caraballo, J. M. Sigarreta. The differential of the strong product graphs. International Journal of Computer Mathematics 92 (6), 2015, 1124-1134.
- S. Bermudo, J. M. Rodríguez, J. M. Sigarreta. On the differential in graphs. Utilitas Mathematica 97, 2015, 257-270.
- S. Bermudo, J. M. Rodríguez, O. Rosario, J. M. Sigarreta. Small values of the hyperbolicity constant in graphs. Discrete Mathematics 339 (12), 2016, 3073-3084.
- S. Bermudo, W. Carballosa, J. M. Rodríguez, J. M. Sigarreta. On the hyperbolicity of edge-chordal and path-chordal graphs. Filomat 30 (9), 2016, 2599-2607.
- L. A. Basilio, S. Bermudo, J. M. Sigarreta. Bounds on the differential of a graph. Utilitas Mathematica 103, 2017, 319– 334.
- S. Bermudo, J. L. Sánchez, J. M. Sigarreta. Total k-domination in Cartesian product graphs. Periodica Mathematica Hungarica 75, 2017, 255-267.
- S. Bermudo. On the Differential and Roman domination number of a graph with minimum degree two. Discrete Applied Mathematics 232, 2017, 64-72.
- L. A. Basilio, S. Bermudo, J. Leaños, J. M. Sigarreta. $\beta$-differential of a graph. Symmetry 9 (10), 205, 2017, 1-15.
- S. Bermudo , J. C. Hernández-Gómez, J. M. Sigarreta. On the total k-domination in graphs. Discussiones Mathematicae Graph Theory 38, 2018, 301-317.
- S. Bermudo, J. C. Hernández-Gómez, J. M. Sigarreta. Total k-domination in strong product graphs. Discrete Applied Mathematics 263, 2019, 51-58.
- S. Bermudo, A. Cabrera-Martínez, F. A. Hernández-Mira, J. M. Sigarreta. On the global total k-domination number of graphs. Discrete Applied Mathematics 263, 2019, 42-50.
- J. Rada, S. Bermudo. Is Every Graph the Extremal Value of a Vertex-Degree-Based Topological Index? MATCH-commun. math. co. 81, 2019, 315-323.
- S. Bermudo, D. L. Jalemskaya, J. M. Sigarreta. Total 2-domination in Grid graphs. Utilitas Mathematica 210, 2019, 151-173.
- S. Bermudo, R. A. Higuita, J. Rada. Domination in hexagonal chains. Applied Mathematics and Computation 369, 2020, 124817.
- S. Bermudo, J. E. Nápoles, J. Rada. Extremal trees for the Randić index with given domination number. Applied Mathematics and Computation 375, 2020, 125122, 13 pp.
- S. Bermudo, P. Kórus, J. E. Nápoles. On q-Hermite-Hadamard inequalities for general convex functions. Acta Mathematica Hungarica 162 (1), 2020, 364–374.
- R. Abreu-Blaya, S. Bermudo, J. M. Rodríguez, E, Tourís. Topological Indices and f-Polynomials on Some Graph Products. Symmetry 13 (2), 2021, 292.
- S. Bermudo, R. A. Higuita, J. Rada. Domination number of catacondensed hexagonal systems. Journal of Mathematical Chemistry 59 (5), 2021, 1348–1367.
- S. Bermudo, M. Dettlaf, M. Lemanska. Some variants of perfect graphs related to the matching number, the vertex cover and the weakly connected domination number. Discrete Applied Mathematics 304, 2021, 153-163.
- S. Bermudo, J. Molsalve, J. Rada. Orientations of hexagonal chains with extremal values of the Randic index. International Journal of Quantum Chemistry 121 (18), 2021.
- L. A. Basilio, S. Bermudo, J. C. Hernández-Gómez, J. M. Sigarreta. General Properties on Differential Sets of a Graph. Axioms 10 (265), 2021.
- S. Bermudo, R. A. Higuita, J. Rada. k-domination and total k-domination numbers in catacondensed hexagonal systems. Mathematical Biosciences and Engineering 15 (7), 2022, 7138-7155.
- S. Bermudo, J. M. Rodríguez, J. A. Rodríguez-Velázquez, J. M. Sigarreta. The adjacency dimension of graphs. ARS Mathematica Contemporanea 22, 2022.
- L. A. Basilio, S. Bermudo, J. Leaños, J. M. Sigarreta. The differential of the line graph L(G). Discrete Applied Mathematics 321, 2022, 82-89.
- S. Bermudo, R. Cruz, J. Rada. Vertex-degree-based topological indices of oriented trees. Applied Mathematics and Computation 433, 2022, 127395, 9 pp.
- S. Bermudo. Upper bound for the geometric-arithmetic index of trees with given domination number. Discrete Mathematics 346, 2023, 113172, 12 pp.
- S. Bermudo. Total domination on tree operators. Mediterranean Journal of Mathematics, 2023.
- A. Casado, S. Bermudo, A. D. López-Sánchez, J. Sánchez-Oro. An Iterated Greedy Algorithm For Finding the Minimum Dominating Set in Graphs. Mathematics and Computers in Simulation 207, 2023, 41-58.
- A. Casado, S. Bermudo, A. D. López-Sánchez, J. Sánchez-Oro. A fast metaheuristic for finding the minimum dominating set in graphs. Metaheuristics, 554-559. Lecture Notes in Comput. Sci., 13838. Springer, Cham, 2023.
- S. Bermudo, R. Hasni, F. Movahedi, J. E. Nápoles. The Geometric-Arithmetic index of trees with a given total domination number. Discrete Applied Mathematics 345, 2024, 99-113.
Acepted Papers
- S. Bermudo, R. Cruz, J. Rada. Vertex-degree function index on tournaments. To appears in Communication in Combinatorics and Optimization
Submitted Papers
- S. Bermudo, P. M. Guzmán, F. Movahedi. On extremal trees for the minimum Sombor index with fixed total domination number.
- S. Bermudo, R. Cruz, J. Rada. Vertex-degree-based topological indices in orientations of the subdivision graph.
- S. Bermudo, I. Peterin, J. Sedlar, R. Skrekovski. Domination number of modular product graphs.
- E. Barrena, S. Bermudo, A. G. Hernández-Díaz, A. D. López-Sánchez, J. A. Zamudio. Finding the minimum k-weighted dominating sets using heuristic algorithms.
Research Stays