BERMUDO NAVARRETE, SERGIO

Sergio Bermudo Navarrete
Area
MATEMATICA APLICADA
Department
DEPARTAMENTO DE ECONOMÍA, MÉTODOS CUANTITATIVOS E HISTORIA ECONÓMICA
Teaching category
CATEDRATICO/A DE UNIVERSIDAD
Academic position
Full Professor
Email
sbernav@upo.es
Phone number
Ext. 67980
Office
3-2-16
Tutorial schedule

Taught subjects

Links of interest

Research Projects

International Journal Publications

  1. 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.
  2. S. Bermudo, S.A.M. Marcantognini, M.D. Morán. Operators of Hankel type. Czechoslovak Mathematical Journal 56 nº4, 2006, 1147-1163.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. J. M. Sigarreta, S. Bermudo, H. Fernau. On the complement graph and defensive k-alliances. Discrete Applied Mathematics 157, 2009, 1687-1695.
  8. S. Bermudo, C. Dolores, P. Ruesga, J. M. Sigarreta. The Klein group and its applications. Applied Mathematical Sciences 3 nº36, 2009, 1773-1785.
  9. S. Bermudo, A. Fernández-Valles. Joint compact-friendly multiplication operators. Journal of Advanced Research in Pure Mathematics 1 nº2, 2009, 34-40.
  10. 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.
  11. 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.
  12. S. Bermudo, J. M. Rodríguez, J. M. Sigarreta, J. M. Vilaire. Mathematical properties of Gromov hyperbolic graphs. AIP Conference Proceedings 1281, 2010, 575-578.
  13. 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.
  14. 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.
  15. 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.
  16. S. Bermudo, J. M. Rodríguez, J. M. Sigarreta, E. Tourís. Hyperbolicity and complement of graphs. Applied Mathematics Letters 24, 2011, 1882-1887.
  17. S. Bermudo, J. M. Rodríguez, J. M. Sigarreta. Computing the hyperbolicity constant. Computers and Mathematics with Applications 62, 2011, 4592-4595.
  18. S. Bermudo, H. Fernau. Lower bounds on the differential of a graph. Discrete Mathematics 312, 2012, 3236-3250.
  19. I. G. Yero, J. A. Rodríguez-Velázquez, S. Bermudo. Alliance free sets in Cartesian product graphs. Discrete Applied mathematics 161, 2013, 1618-1625.
  20. S. Bermudo, J. M. Rodríguez, J. M. Sigarreta, J. M. Vilaire. Gromov hyperbolic graphs. Discrete Mathematics 313  nº15, 2013, 1575-1585.
  21. S. Bermudo, H. Fernau. Computing the differential of a graph: hardness, approximability and exact algorithms.Discrete Applied Mathematics 165, 2014, 69-82.
  22. 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.
  23. 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.
  24. S. Bermudo, J. M. Rodríguez, O. Rosario, J. M. Sigarreta. Graphs with small hyperbolicity constant. Electronic Notes in Discrete Mathematics 46, 2014, 265–272.
  25. S. Bermudo, H. Fernau. Combinatorics for smaller kernels: the differential of a graph. Theoretical Computer Science 562, 2015, 330-345.
  26. 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.
  27. S. Bermudo, J. M. Rodríguez, J. M. Sigarreta. On the differential in graphs. Utilitas Mathematica 97, 2015, 257-270.
  28. 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.   
  29. 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.
  30. L. A. Basilio, S. Bermudo, J. M. Sigarreta. Bounds on the differential of a graph. Utilitas Mathematica 103, 2017, 319– 334.
  31. S. Bermudo, J. L. Sánchez, J. M. Sigarreta. Total k-domination in Cartesian product graphs. Periodica Mathematica Hungarica 75, 2017, 255-267.
  32. S. Bermudo. On the Differential and Roman domination number of a graph with minimum degree two. Discrete Applied Mathematics 232, 2017, 64-72.
  33. L. A. Basilio, S. Bermudo, J. Leaños, J. M. Sigarreta. $\beta$-differential of a graph. Symmetry 9 (10), 205, 2017,  1-15.
  34. S. Bermudo , J. C. Hernández-Gómez, J. M. Sigarreta. On the total k-domination in graphs. Discussiones Mathematicae Graph Theory 38, 2018, 301-317.
  35. S. Bermudo, J. C. Hernández-Gómez, J. M. Sigarreta. Total k-domination in strong product graphs. Discrete Applied Mathematics 263, 2019, 51-58.
  36. 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.
  37. 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.
  38. S. Bermudo, D. L. Jalemskaya, J. M. Sigarreta. Total 2-domination in Grid graphs. Utilitas Mathematica 210, 2019, 151-173.
  39. S. Bermudo, R. A. Higuita, J. Rada. Domination in hexagonal chains. Applied Mathematics and Computation 369, 2020, 124817.
  40. 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.
  41. S. Bermudo, P. Kórus, J. E. Nápoles. On q-Hermite-Hadamard inequalities for general convex functions. Acta Mathematica Hungarica 162 (1), 2020, 364–374.
  42. R. Abreu-Blaya, S. Bermudo, J. M. Rodríguez, E, Tourís. Topological Indices and f-Polynomials on Some Graph Products. Symmetry 13 (2), 2021, 292.
  43. S. Bermudo, R. A. Higuita, J. Rada. Domination number of catacondensed hexagonal systems. Journal of Mathematical Chemistry 59 (5), 2021, 1348–1367.
  44. 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.
  45. 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.
  46. L. A. Basilio, S. Bermudo, J. C. Hernández-Gómez, J. M. Sigarreta. General Properties on Differential Sets of a Graph. Axioms 10 (265), 2021.
  47. 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.
  48. S. Bermudo, J. M. Rodríguez, J. A. Rodríguez-Velázquez, J. M. Sigarreta. The adjacency dimension of graphs. ARS Mathematica Contemporanea 22, 2022.
  49. 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.
  50. S. Bermudo, R. Cruz, J. Rada. Vertex-degree-based topological indices of oriented trees. Applied Mathematics and Computation 433, 2022, 127395, 9 pp.
  51. S. Bermudo. Upper bound for the geometric-arithmetic index of trees with given domination number. Discrete Mathematics 346, 2023, 113172, 12 pp.
  52. S. Bermudo. Total domination on tree operators. Mediterranean Journal of Mathematics, 2023. 
  53. 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.
  54. 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.
  55. 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

  1. S. Bermudo, R. Cruz, J. Rada. Vertex-degree function index on tournaments. To appears in Communication in Combinatorics and Optimization.
  2. S. Bermudo, R. Cruz, J. Rada. Vertex-degree function index on oriented graphs. To appears in Computational and Applied Mathematics.
  3. 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. To appears in Mathematics and Computers in Simulation.

Submitted Papers

  1. S. Bermudo, P. M. Guzmán, F. Movahedi. On extremal trees for the minimum Sombor index with fixed total domination number.
  2. S. Bermudo, R. Cruz, J. Rada. Vertex-degree-based topological indices in orientations of the subdivision graph.
  3. S. Bermudo, I. Peterin, J. Sedlar, R. Skrekovski. Domination number of modular product graphs.

Research Stays

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Saint Petersburg, Russia (01/10/2000-12/11/2000)
  2. Venezuelan Institute of Scientific Research (IVIC), Caracas, Venezuela (15/09/2001-17/11/2001)
  3. Mathematics Department of Howard University, Washington DC, USA (01/09/2002-30/11/2002)
  4. Faculty of Mathematics and Computer Sciences of Nicolaus Copernicus University, Torun, Poland (12/09/2005-12/12/2005)
  5. Faculty of Mathematics of the Autonomous University of Guerrero, Acapulco, Mexico (23/01/2009-22/02/2009)
  6. Department of Computer Science Engineering and Mathematics of Rovira i Virgili University, Tarragona, Spain (20/08/2009-20/10/2009)
  7. Faculty of Mathematics of the Autonomous University of Guerrero, Acapulco, Mexico (21/01/2010-20/02/2010)
  8. Computer Science Department of Trier University, Trier, Germany (01/02/2011-29/07/2011)
  9. Faculty of Mathematics of the Autonomous University of Guerrero, Acapulco, Mexico (27/01/2012-27/03/2012)
  10. Faculty of Mathematics of the Autonomous University of Guerrero, Acapulco, Mexico (02/03/2013-14/04/2013)
  11. Faculty of Mathematics of the Autonomous University of Guerrero, Acapulco, Mexico (02/02/2014-15/03/2014)
  12. Faculty of Mathematics of the Autonomous University of Guerrero, Acapulco, Mexico (23/01/2016-06/03/2016)
  13. Faculty of Mathematics of the Autonomous University of Guerrero, Acapulco, Mexico (06/02/2017-15/04/2017)
  14. Faculty of Applied Physics and Mathematics of Gdansk University of Technology, Gdansk, Poland (15/05/2017-15/07/2017).
  15. Faculty of Mathematics of the Autonomous University of Guerrero, Acapulco, México (20/01/2018-20/04/2018).
  16. Mathematics Center of University of Antioquia, Medellín, Colombia (01/05/2018-31/07/2018).
  17. Instituto Superior de Formación Docente Salomé Ureña, Santiago de los Caballeros, Dominican Republic (20/01/2019-20/04/2019).
  18. Facultad de Ciencias Exactas, Naturales y Agrimensura de la Universidad Nacional del Nordeste, Corrientes, Argentina (20/05/2019-20/08/2019).
  19. Faculty of Mathematics of the Autonomous University of Guerrero, Acapulco, México (25/01/2020-02/07/2020).
  20. Faculty of Mathematics of the Autonomous University of Guerrero, Acapulco, México (17/07/2021-17/09/2021).
  21. Mathematics Center of University of Antioquia, Medellín, Colombia (09/02/2022-09/05/2022).
  22. Franciscana University, Santa Maria, Brasil (01/06/2022-31/08/2022).
  23. Facultad de Ciencias Agrarias de la Universidad Nacional del Nordeste, Corrientes, Argentina (20/01/2023-20/04/2023).
  24. Mathematics Deparment of Pontificia Universidad Javeriana, Bogotá, Colombia (01/07/2024-14/09/2024)
 
Teaching Positions
 
  • 01/01/1999-28/02/2003 PhD Student (University of Seville, Seville, Spain)
  • 01/03/2003-15/06/2003 Substitute Professor (University of Seville, Seville, Spain)
  • 01/10/2003-30/09/2004 Part-Time Professor (Pablo de Olavide University, Seville, Spain)
  • 01/10/2004-11/02/2007 Assistant Professor (Pablo de Olavide University, Seville, Spain)
  • 12/02/2007-31/07/2007 PhD Assistant Professor (Pablo de Olavide University, Seville, Spain)
  • 01/08/2007-31/07/2008 Full Professor (Autonomous Popular University of the State of Puebla, Puebla, Mexico)
  • 01/08/2008-24/01/2009 PhD Assistant Professor (Pablo de Olavide University, Seville, Spain)
  • 25/01/2009-13/11/2011 PhD Professor (Pablo de Olavide University, Seville, Spain)
  • 14/11/2011-31/07/2014 Associate Professor (Pablo de Olavide University, Seville, Spain)
  • 01/08/2014-31/07/2015 Visiting Associate Professor (The College of the Bahamas, Nassau, Bahamas)
  • 01/08/2015-22/04/2024 Associate Professor (Pablo de Olavide University, Seville, Spain).
  • 23/04/2024--- Full Professor (Pablo de Olavide University, Seville, Spain).