Dr. José María Sigarreta Almira 

Productividad Académica

 

Artículos

  • Portilla, A., Rodríguez, J.M., Sigarreta, J.M., and Tourís, E. (2020). Gromov Hyperbolicity in Directed Graphs. Symmetry, 12(1), 105, 12 pp. 10.3390/sym12010105.

  • Martínez-Martínez, C.T., Méndez-Bermúdez, J.A., Rodríguez, J.M., and Sigarreta, J.M. (2020). Computational and analytical studies of the Randić index in Erdós-Rényi models. Applied Mathematics and Computation, 377, 125137. 10.1016/j.amc.2020.125137.

  • Cabrera-Martínez, A., Hernández-Gómez, J.C., Parra-Inza, E., and Sigarreta, J.M. (2020). On the Total k-Independent Domination Number of Graphs. Mathematics,  8 (194), 1-14.

  • Pacheco-Valencia, V., Hernández, J.A., Sigarreta, J.M., and Vakhania, N. (2020). Simple Constructive, Insertion, and Improvement Heuristics Based on the Girding Polygon for the Euclidean Traveling Salesman Problem. Algorithms, 13(1), 5, 30 pp. https://doi.org/10.3390/a13010005.

  • Abreu-Blaya, R., Fleitas, A., Nápoles-Valdés, J. E., Reyes, R., Rodríguez, J. M., and Sigarreta, J. M. (2020). On the conformable fractional logistic models. Mathematical Methods in the Applied Sciences, 43(7), 4156-4167. 10.1002/mma.6180.

  • Carballosa, W., Granados, A., Pestana, D., Portilla, A., and Sigarreta, J. M. (2020). Relations between some topological indices and the line graph. Journal of Mathematical Chemistry, 58(3), 632–646.

  • Hernández-Gómez J.C., Locia-Espinoza, E., Morales-Carballo, A., y Sigarreta, J.M. (2019). El Contraejemplo en la Elaboración de la Definición de Función Convexa por Estudiantes Universitarios. Información Tecnológica, 30(1), 185-202.

  • Portilla, A., Rodríguez, J.M., and Sigarreta, J.M. (2019). Recent lower bounds for geometric-arithmetic index. Discrete Mathematics Letters, 1, 59-82.

  • Abreu-Blaya, R., Bory-Reyes, J., Morales-Amaya, E., and Sigarreta-Almira, J.M. (2019). On the self-conjugateness of differential forms on bounded domains. Revista de la Unión Matemática Argentina, 60(1), 247–256.

  • Bermudo, S., Cabrera-Martínez, A., Hernández-Mira, F.A., and Sigarreta-Almira, J.M. (2019). On the global total k-domination number of graphs. Discrete Applied Mathematics, 263, 42–50. 10.1016/j.dam.2018.05.025.

  • Bermudo, S., Hernández-Gómez, J.C., and Sigarreta, J.M. (2019). Total k-domination in Strong Graphs. Discrete Applied Mathematics, 263, 51-58. 10.1016/j.dam.2018.03.043.

  • Cabrera-Martínez, A., Hernández-Mira, F.A., Sigarreta, J.M., Yero, I.G. (2019). On computational and combinatorial properties of the total co-independent domination number of graphs. The Computer Journal, 62(1), 97-108. 10.1093/comjnl/bxy038.

  • Reyes, R., Rodríguez, J.M., Sigarreta, J.M., Villa, M. (2019). On the hyperbolicity constant of circular-arc graphs. Discrete Applied Mathematics, 263, 244-256. 10.1016/j.dam.2018.01.011.

  • Basilio-Hernández, L.A., Carballosa, W., Leaños, J., and Sigarreta, J.M. (2019). On the differential polynomial of a graph. Acta Mathematica Sinica, 35, 338-354. 10.1007/s10114-018-7307-3.

  • Gutman, I., Rodríguez, J.M., and Sigarreta, J.M. (2019). Linear and non-linear inequalities on the inverse sum indeg index. Discrete Applied Mathematics, 258, 123–134.

  • Rodríguez, J.M., Sánchez, J.L., and Sigarreta, J.M. (2019). Inequalities on the inverse degree index. Journal of Mathematical Chemistry, 57(5), 1524–1542.

  • Pestana, D., Sigarreta, J.M., Tourís, E. (2019). CMMSE 18: geometric-arithmetic index and line graph. Journal of Mathematical Chemistry, 57(5), 1427–1447.

  • Fleitas, A., Gómez-Aguilar, J.F., Nápoles-Valdés, J.E., Rodríguez, J.M., and Sigarreta, J.M. (2019). Analysis of the local Drude model involving the generalized fractional derivative. Optik, 193, 163008. 10.1016/j.ijleo.2019.163008. 

  • Bermudo, S., Jalemskaya, D.L., and Sigarreta, J.M. (2019). Total 2-domination in grid graphs. Utilitas Mathematica, 110, 151–173.

  • Nápoles-Valdés, J.E., Rodríguez, J.M., and Sigarreta, J.M. (2019). New Hermite–Hadamard Type Inequalities Involving Non-Conformable Integral Operators. Symmetry, 11, 1108, 11 pp. 10.3390/sym11091108.

  • Carballosa, W., Rodríguez, J.M., Sigarreta, J.M., and Vakhania, N. (2019). f-Polynomial on Some Graph Operations. Mathematics, 7, 1074, 18 pp. 10.3390/math7111074.

  • Gómez-Santiesteban, T. R., Abreu-Blaya, R., Bory-Reyes, J., and Sigarreta, J.M. (2018). A Cauchy transform for polyanalytic functions on fractal domains. Annales Polonici Mathematici, 121(1), 21–32.

  • Moran-Pizarro, D.S., Jaramillo-López, C.M., and Sigarreta, J.M. (2018). La etapa superestructural de la integral. Revista Logos Ciencia & Tecnología, 10(2), 135-152. 10.22335/rlct.v10i2.576.

  • Martínez-Pérez, A., Rodríguez, J.M., and Sigarreta, J.M. (2017). CMMSE: A new approximation to the geometric–arithmetic index. Journal of Mathematical Chemistry, 56, 1865–1883. 10.1007/s10910-017-0811-3.

  • Rodríguez, J.M., Sánchez, J.L., Sigarreta, J.M. (2017). CMMSE: On the first general Zagreb index. Journal of Mathematical Chemistry, 56, 1849–1864. 10.1007/s10910-017-0816-y.

  • Hernández-Gómez J.C., Reyes, R., Rodríguez, J.M., and Sigarreta, J.M. (2017). Mathematical Properties on the Hyperbolicity of  Inteval Graphs. Symmetry, 9(255), 1-13. 10.3390/sym9110255.

  • Hernández-Gómez J.C., Rodríguez, J.M, and Sigarreta, J.M. (2017). On the geometric-arithmetic index by decompositions. Journal of Mathematical  Chemistry, 55(7), 1376–1391.

  • Bermudo, S., Sanchéz, J.L., and Sigarreta, J.M. (2017). Total k-domination in Cartesian product graphs. Periodica Mathematica Hungarica, 75(2), 255–267.

  • Basilio, L.A., Bermudo, S., Leaños, J., and Sigarreta, J.M. (2017). β-differential of a graph. Symmetry, 9(10), 205, 15 pp. 10.3390/sym9100205.

  • Carballosa, W., Rodríguez, J.M., Sigarreta, J.M., Torres-Nuñez, Y. (2017). Computing the alliance polynomial of a graph. Ars Combinatoria, 135, 163–185.

  • Basilio, L.A., Bermudo, S., and Sigarreta, J.M. (2017). Bounds on the differential of a graph. Utilitas Mathematica, 103, 319–334.

  • Cabrera-Martínez, A., Sigarreta, J.M., Yero, I.G. (2017). On the independence transversal total domination number of graphs. Discrete Applied Mathemathics, 219, 65–73.

  • Rodríguez, J.M., Rodríguez-Velázquez, J.A., and Sigarreta, J.M. (2017). New inequalities involving the geometric-arithmetic index. MATCH Communications in Mathematical and Computer Chemistry, 78(2), 361–374.

  • Carballosa, W., Rodríguez, J.M., Sigarreta, J.M., Torres-Nuñez, Y. (2017). Alliance polynomial of regular graphs. Discrete Applied Mathematics, 225, 22–32.

  • Rodríguez, J.M., and Sigarreta, J.M. (2017). The hyperbolicity constant of infinite circulant graphs. Open Mathematics, 15, 800-814.

  • Nápoles-Valdes, J.E., and Sigarreta, J.M. (2017). A Note on the Asymptotic Behaviour of Some Difference Equation of Second Order. International Journal of Mathematics and Applications, 5(2-B), 211-215. 

  • Hernández-Gómez, J.C., Rodríguez, J.M., Sigarreta, J.M., Torres-Nuñez, Y., and Villeta, M. (2017). Gromov Hyperbolicity of Regular Graphs. Ars Combinatoria, 130, 395-416.  

  • Rodríguez, J.M., and Sigarreta, J.M. (2017). New results on the harmonic index and its generalizations. MATCH Communications in Mathematical and Computer Chemistry, 78(2), 387–404.

  • Bermudo, S., Rodríguez, J.M., Rosario-Cayetano, O., and Sigarreta, J.M. (2016). Small values of the hyperbolicity constant in graphs. Discrete Mathematics, 339(12), 3073-3084.

  • Carballosa, W., Rodríguez, J.M., and Sigarreta, J.M. (2016). New inequalities on the hyperbolicity constant of line graphs. Ars Combinatoria, 129, 367–386.

  • Carballosa, W., Hernández-Gómez J.C., Piñeiro, L.R., and Sigarreta, J.M. (2016). Generating function: multiple ortogonal polynomials. Applied Mathematical Science, 10(16), 761 - 772.

  • Sigarreta, J.M. (2016). Differential in Cartesian product graphs. Ars Combinatoria, 126, 259–267.

  • Rodríguez, J.M., and Sigarreta, J.M. (2016). Spectral properties of geometric-arithmetic index. Applied Mathematics and Computation, 277, 142–153.

  • Sigarreta, J.M. (2015). Bounds for the geometric-arithmetic index of a graph. Miskolc Mathematical Notes, 16(2), 1199–1212.

  • Hernández-Gómez, J.C., Rodríguez, J.M., and Sigarreta, J.M. (2015). Mathematical properties on the hyperbolicity of circulant networks. Advances in Mathematical Physics, 2015, 11 pp. 10.1155/2015/723451.

  • Carballosa, W., Rodríguez, J.M., and Sigarreta, J.M. (2015). Hyperbolicity in the corona and join of graphs. Aequationes Mathematicae, 89, 1311–1327. 10.1007/s00010-014-0324-0.

  • Rodríguez-Velázquez, J.A., Kuziak, D., Yero, I.G., and Sigarreta, J.M. (2015). The metric dimension of strong product graphs. Carpathian Journal of Mathematics, 31(2), 261–268.

  • Rodríguez, J.M., and Sigarreta, J.M. (2015). Spectral study of the Geometric-Arithmetic Index. MATCH Communications in Mathematical and in Computer Chemistry, 74, 121-135.

  • Bermudo, S., Rodríguez, J.M., and Sigarreta, J.M. (2015). On the differential in graphs. Utilitas Mathematica, 97, 257–270.

  • Portilla, A., Rodríguez, J.M., Sigarreta, J.M., Vilaire, J.M. (2015). Gromov hyperbolic tessellation graphs. Utilitas Mathematica, 97, 193–211.

  • Bermudo, S., De la Torre, L., Martín-Caraballo, A.M., and Sigarreta, J.M. (2015). The differential of the strong product graphs. International Journal of Computer Mathematics, 92(6), 1124-1134. 

  • Fernau, H., Rodríguez-Velázquez, J.A., and Sigarreta, J.M. (2015). Global powerful r-alliances and total k-domination in graphs. Utilitas Mathematica, 98, 127–147.

  • Rodríguez, J.M., and Sigarreta, J.M. (2015). On the Geometric-Arithmetic Index. MATCH Communications in Mathematical and in Computer Chemistry, 74, 103-120.

 

Capítulos de Libros

  • Rodríguez, J.M., and Sigarreta, J.M. (2017). The Harmonic Index. In Gutman, I., et. al. (Eds.). Bounds in Chemical Graph Theory–Basics, 229-281. ISBN: 978-86-6009-043-2.

  • Carballosa, W., Rodríguez, J.M., Sigarreta, J.M., and Torres, Y. (2016). Alliance Polynomial. In Shi, Y., et. al. (Eds.). Graph Polynomials, Chapter 10, 29 pp. 10.1201/9781315367996-11.

 

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