Dr. José María Sigarreta Almira
Productividad Académica
Artículos
Abreu-Blaya, R., Batanero, J., Rodríguez, J. M., & Sigarreta, J. M. (2025). On irregularity integral Sombor indices: theory and chemical applications. Journal of Mathematical Chemistry, 63(3), 731–748. https://doi.org/10.1007/s10910-024-01697-3
Bosch, P., Paz-Moyado, J. A., Rodríguez-García, J. M., & Sigarreta, J. M. (2025). Refinement of Jensen-type inequalities: fractional extensions (global and local). AIMS MATHEMATICS, 10(3), 6574–6588. https://doi.org/10.3934/math.2025301
Martínez-Pérez, A., Molina E. D., Rodríguez-García, J. M., & Sigarreta, J. M. (2025). On Sum Lordeg index. Filomat, 39(9), 3069–3082. https://www.jstor.org/stable/27388475
Molina, E. D., Rodríguez-García, J. M., Sigarreta, J. M., & Torralbas, F. S. J. (2025). On the Gutman-Milovanović index and chemical applications. AIMS mathematics, 10(2), 1998-2020. https://doi.org/10.3934/math.2025094
Peralta-Martínez, K., Méndez-Bermúdez, J. A., & Sigarreta, J. M. (2025). Hyperbolic random geometric graphs: Structural and spectral properties. Physical Review E, 111(2), 024309. https://doi.org/10.1103/PhysRevE.111.024309
Rada, J., Rodríguez, J. M., & Sigarreta, J. M. (2025). Optimization problems for general elliptic Sombor index. MATCH Communications in Mathematical and in Computer Chemistry, 93(3), 819–838. https://doi.org/10.46793/match.93-3.819R
Santiesteban, D. A., Portilla, A., Rodríguez-García, J. M., & Sigarreta, J. M. (2025). On fractal derivatives and applications. Mathematical Methods in the Applied Sciences, 48(11), 10726–10739. https://doi.org/10.1002/mma.10914
Bosch, P., Portilla, A., Rodríguez, J. M., & Sigarreta, J. M. (2024). On a generalization of the Opial inequality. Demonstratio Mathematica, 57(1), 20230149. https://doi.org/10.1515/dema-2023-0149
Bosch, P., Rodríguez, J. M, Sigarreta, J. M., & Tourís, E. (2024). Some new Milne-type inequalities. Journal of Inequalities and Applications, (1), 106. https://doi.org/10.1186/s13660-024-03184-4
Carballosa, W., Rodríguez, J. M., & Sigarreta, J. M. (2024). On the hyperbolicity of Delaunay triangulations. AIMS Mathematics, 8(12), 28780–28790. https://doi.org/10.3934/math.20231474
Hernández-Basilio, L. A., Leaños-Macías, J., Rosario-Cayetano, O., & Sigarreta, J. M. (2024). The differential on graph operator R(G). RAIRO: Operations Research, 58(6), 5467–5479. https://doi.org/10.1051/ro/2024212
Korus, P., Nápoles-Valdés, J. E., Rodríguez-García, J. M., & Sigarreta, J. M. (2024). Petrovic-type inequality via fractional calculus. Miskolc University Press, 25(2), 833–843. https://doi.org/10.18514/MMN.2024.4366
Martínez-Martínez, C. T., Méndez-Bermúdez, J. A., & Sigarreta, J. M. (2024). Topological and spectral properties of random digraphs. Physical Review E, 109(6), 064306. https://doi.org/10.1103/PhysRevE.109.064306
Méndez, J., Reyes, R., Rodríguez, J. M., & Sigarreta, J. M. (2024). Gromov hyperbolicity of Johnson and Kneser graphs. Aequationes mathematicae, 98(3), 661–686. https://doi.org/10.1007/s00010-024-01076-y
Parra-Inza, E., Vakhania N., Sigarreta, J. M., & Hernández-Águilar, J. A. (2024). Approximating a minimum dominating set by purification. Algorithms, 17(6), 258. https://doi.org/10.3390/a17060258
Rada, J., Rodríguez, J. M., & Sigarreta, J. M. (2024). Sombor index and elliptic Sombor index of benzenoid systems. Applied Mathematics and Computation, 475, 128756. https://doi.org/10.1016/j.amc.2024.128756
Abreu-Blaya, R., Rodríguez, J. M., & Sigarreta, J. M. (2023). On the generalized Fourier transform. Mathematical Methods in the Applied Sciences, 46(16), 16709–16733. https://doi.org/10.1002/mma.9471
Bosch, P., Rodríguez, J. M., & Sigarreta, J. M. (2023). On new Milne-type inequalities and applications. Journal of Inequalities and Applications, (1), 3. https://doi.org/10.1186/s13660-022-02910-0
Cabrera-Martínez, A., Rios-Villamar, I., Rueda-Vázquez, J. M., & Sigarreta, J. M. (2023). Double total domination in the generalized lexicographic product of graphs. Quaestiones Mathematicae, 47(3), 689–703. https://doi.org/10.2989/16073606.2023.2252183
Carballosa, W., Quintana, Y., Rodríguez, J. M., & Sigarreta, J. M. (2023). Exponential topological indices: optimal inequalities and applications. Journal of Mathematical Chemistry, 61(5), 933–949. https://doi.org/10.1007/s10910-022-01446-4
Kulli, V. R., Méndez-Bermúdez, J. A., Rodríguez-García, J. M., & Sigarreta, J. M. (2023). Revan Sombor indices: Analytical and statistical study. AIMS, 20(2), 1801–1819. https://doi.org/10.3934/mbe.2023082
Molina, E. D., Rodríguez, J. M., Sánchez, J. L., & Sigarreta, J. M. (2023). Inverse degree index: exponential extension and applications. Journal of Mathematical Chemistry, 61(5), 1217–1237. https://doi.org/10.1007/s10910-023-01453-z
Paz-Moyado, J. A., Quintana-Mato, Y., Rodríguez, J. M., & Sigarreta, J. M. (2023). New reverse Hölder-type inequalities and applications. Mathematical Inequalities & Applications, 26(4), 1021–1038. https://doi.org/10.7153/mia-2023-26-63
Rada, J., Rodríguez, J. M., & Sigarreta, J. M. (2023). On integral Sombor indices. Applied Mathematics and Computation, 452, 128036. https://doi.org/10.1016/j.amc.2023.128036
Rios-Villamar, I., Cabrera-Martínez, A., Sánchez, J. L., & Sigarreta J. M. (2023). Relating the total {2}-domination number with the total domination number of graphs. Discrete Applied Mathematics, 333, 90–95. https://doi.org/10.1016/j.dam.2023.03.018
Abreu-Blaya, R., Cruz, M. P., Sánchez, J. L., & Sigarreta, J. M. (2022). Riemann problem for bianalytic functions on h-summable curves. Complex Variables and Elliptic Equations, 67(12), 2995–3008. https://doi.org/10.1080/17476933.2021.1963712
Arreola-Bautista, L. D., Reyna, G., Romero-Valencia, J. & Sigarreta, J. M. (2022). Note on structural properties of graphs. Open Mathematics, 20(1), 16–23. https://doi.org/10.1515/math-2021-0137
Basilio, L. A., Bermudo, S., Leaños, J., & Sigarreta, J. M. (2022). The differential of the line graph L (G). Discrete Applied Mathematics, 321, 82–89. https://doi.org/10.1016/j.dam.2022.05.004
Bosch, P., Quintana, Y., Rodríguez, J. M., & Sigarreta, J. M. (2022). Jensen-type inequalities for m-convex functions. Open Mathematics, 20(1), 946–958.
Hernández-Gómez, J. C., Reyes, R., Rodríguez, J. M., & Sigarreta, J. M. (2022). Fractional model for the study of the tuberculosis in Mexico. Mathematical Methods in the Applied Science, 45(17), 10675–10688. https://doi.org/10.1002/mma.8392
Hernández, J. C., Rodríguez-García, J. M., Rosario, O., & Sigarreta, J. M. (2022). Extremal problems on the general Sombor index of a graph. AIMS, 7(5), 8330–8343. https://doi.org/10.3934/math.2022464
Herrera-Peláez, M. A., Areu-Blaya, R., Moreno-García, A., & Sigarreta, J. M. (2022). Integral representation formulas for higher order Dirac equations. Journal of Mathematical Analysis and Applications, 515(2), 126414. https://doi.org/10.1016/j.jmaa.2022.126414
Mendéz-Bermúdez, J. A., Rodríguez, J. M., Sánchez, J. L., & Sigarreta, J. M. (2022). Analytical and computational properties of the variable symmetric division deg index. Mathematical Biosciences and Engineering, 19(9), 8908–8922. https://doi.org/10.3934/mbe.2022413
Sigarreta, J. M. (2022). Extremal problems on exponential vertex-degree-based topological indices. Mathematical Biosciences and Engineering, 19(7), 6985–6995. https://doi.org/10.3934/mbe.2022329
Bosch, P., Carmenate, H. J., Rodríguez, J. M., & Sigarreta, J. M. (2021). Generalized inequalities involving fractional operators of Riemann-Liouville type. AIMS, 7(1), 1470–1485. https://doi.org/10.3934/math.2022087
Cruz, R., Rada, J., & Sigarreta, J. M. (2021). Sombor index of trees with at most three branch vertices. Applied Mathematics and Computation, 409, 126414. https://doi.org/10.1016/j.amc.2021.126414
Martínez-Cabrera, A., Hernández-Gómez, J. C., & Sigarreta, J. M. (2021). On the quasi-total Roman domination number of graphs. Mathematics, 9(21), 2823. https://doi.org/10.3390/math9212823
Rada, J., Rodríguez, J. M., & Sigarreta, J. M. (2021). Geometric properties of chemical graphs. International Journal of Quantum Chemistry, 121(23), e26798. https://doi.org/10.1002/qua.26798
Abreu-Blaya, R., Fleitas, A., Nápoles-Valdés, J. E., Reyes, R., Rodríguez, J. M., & Sigarreta, J. M. (2020). On the conformable fractional logistic models. Mathematical Methods in the Applied Sciences, 43(7), 4156–4167. https://doi.org/10.1002/mma.6180
Cabrera-Martínez, A., Hernández-Gómez, J. C., Parra-Inza, E., & Sigarreta, J. M. (2020). On the total k-independent domination number of graphs. Mathematics, 8 (194), 1–14.
Carballosa, W., Granados, A., Pestana, D., Portilla, A., & Sigarreta, J. M. (2020). Relations between some topological indices and the line graph. Journal of Mathematical Chemistry, 58(3), 632–646.
Martínez-Martínez, C. T., Méndez-Bermúdez, J. A., Rodríguez, J. M., & Sigarreta, J. M. (2020). Computational and analytical studies of the Randić index in Erdós-Rényi models. Applied Mathematics and Computation, 377, 125137. https://doi.org/10.1016/j.amc.2020.125137
Pacheco-Valencia, V., Hernández, J. A., Sigarreta, J. M., & Vakhania, N. (2020). Simple constructive, insertion, and improvement heuristics based on the girding polygon for the euclidean traveling salesman problem. Algorithms, 13(1), 5. https://doi.org/10.3390/a13010005
Portilla, A., Rodríguez, J. M., Sigarreta, J. M., & Tourís, E. (2020). Gromov hyperbolicity in directed graphs. Symmetry, 12(1), 105. https://doi.org/10.3390/sym12010105
Abreu-Blaya, R., Bory-Reyes, J., Morales-Amaya, E., & 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.
Basilio-Hernández, L. A., Carballosa, W., Leaños, J., & Sigarreta, J. M. (2019). On the differential polynomial of a graph. Acta Mathematica Sinica, 35, 338–354. https://doi.org/10.1007/s10114-018-7307-3
Bermudo, S., Cabrera-Martínez, A., Hernández-Mira, F. A., & Sigarreta-Almira, J. M. (2019). On the global total k-domination number of graphs. Discrete Applied Mathematics, 263, 42–50. https://doi.org/10.1016/j.dam.2018.05.025
Bermudo, S., Hernández-Gómez, J. C., & Sigarreta, J. M. (2019). Total k-domination in strong graphs. Discrete Applied Mathematics, 263, 51–58. https://doi.org/10.1016/j.dam.2018.03.043
Bermudo, S., Jalemskaya, D. L., & Sigarreta, J. M. (2019). Total 2-domination in grid graphs. Utilitas Mathematica, 110, 151–173.
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. https://doi.org/10.1093/comjnl/bxy038
Fleitas, A., Gómez-Aguilar, J. F., Nápoles-Valdés, J. E., Rodríguez, J. M., & Sigarreta, J. M. (2019). Analysis of the local Drude model involving the generalized fractional derivative. Optik, 193, 163008. https://doi.org/10.1016/j.ijleo.2019.163008
Carballosa, W., Rodríguez, J. M., Sigarreta, J. M., & Vakhania, N. (2019). f-Polynomial on Some Graph Operations. Mathematics, 7(11), 1074. https://doi.org/10.3390/math7111074
Gutman, I., Rodríguez, J. M., & Sigarreta, J. M. (2019). Linear and non-linear inequalities on the inverse sum indeg index. Discrete Applied Mathematics, 258, 123–134.
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.
Nápoles-Valdés, J. E., Rodríguez, J. M., & Sigarreta, J. M. (2019). New Hermite–Hadamard type inequalities involving non-conformable integral operators. Symmetry, 11, 1108. https://doi.org/10.3390/sym11091108
Pestana, D., Sigarreta, J. M., Tourís, E. (2019). CMMSE 18: geometric-arithmetic index and line graph. Journal of Mathematical Chemistry, 57(5), 1427–1447.
Portilla, A., Rodríguez, J. M., & Sigarreta, J. M. (2019). Recent lower bounds for geometric-arithmetic index. Discrete Mathematics Letters, 1, 59–82.
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. https://doi.org/.1016/j.dam.2018.01.011
Rodríguez, J. M., Sánchez, J. L., & Sigarreta, J. M. (2019). Inequalities on the inverse degree index. Journal of Mathematical Chemistry, 57(5), 1524–1542.
Gómez-Santiesteban, T. R., Abreu-Blaya, R., Bory-Reyes, J., & 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., & Sigarreta, J. M. (2018). La etapa superestructural de la integral. Revista Logos Ciencia & Tecnología, 10(2), 135–152. https://doi.org/.22335/rlct.v10i2.576
Basilio, L. A., Bermudo, S., Leaños, J., & Sigarreta, J. M. (2017). β-differential of a graph. Symmetry, 9(10), 205. https://doi.org/10.3390/sym9100205
Basilio, L. A., Bermudo, S., & Sigarreta, J. M. (2017). Bounds on the differential of a graph. Utilitas Mathematica, 103, 319–334.
Bermudo, S., Sanchéz, J. L., & Sigarreta, J. M. (2017). Total k-domination in Cartesian product graphs. Periodica Mathematica Hungarica, 75(2), 255–267.
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.
Carballosa, W., Rodríguez, J. M., Sigarreta, J. M., & Torres-Nuñez, Y. (2017). Alliance polynomial of regular graphs. Discrete Applied Mathematics, 225, 22–32.
Carballosa, W., Rodríguez, J. M., Sigarreta, J. M., & Torres-Nuñez, Y. (2017). Computing the alliance polynomial of a graph. Ars Combinatoria, 135, 163–185.
Hernández-Gómez, J. C., Reyes, R., Rodríguez, J. M., & Sigarreta, J. M. (2017). Mathematical Properties on the Hyperbolicity of Inteval Graphs. Symmetry, 9(255), 1–13. https://doi.org/10.3390/sym9110255
Hernández-Gómez, J. C., Rodríguez, J. M, & Sigarreta, J. M. (2017). On the geometric-arithmetic index by decompositions. Journal of Mathematical Chemistry, 55(7), 1376–1391
Martínez-Pérez, A., Rodríguez, J. M., & Sigarreta, J. M. (2017). CMMSE: A new approximation to the geometric–arithmetic index. Journal of Mathematical Chemistry, 56, 1865–1883. https://doi.org/10.1007/s10910-017-0811-3
Rodríguez, J. M., Rodríguez-Velázquez, J. A., & Sigarreta, J. M. (2017). New inequalities involving the geometric-arithmetic index. MATCH Communications in Mathematical and Computer Chemistry, 78(2), 361–374.
Rodríguez, J. M., Sánchez, J. L., & Sigarreta, J. M. (2017). CMMSE: On the first general Zagreb index. Journal of Mathematical Chemistry, 56, 1849–1864. https://doi.org/10.1007/s10910-017-0816-y
Rodríguez, J. M., & Sigarreta, J. M. (2017). The hyperbolicity constant of infinite circulant graphs. Open Mathematics, 15, 800–814.
Nápoles-Valdes, J. E., & 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., & Villeta, M. (2017). Gromov hyperbolicity of regular graphs. Ars Combinatoria, 130, 395–416.
Rodríguez, J. M., & 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., & Sigarreta, J. M. (2016). Small values of the hyperbolicity constant in graphs. Discrete Mathematics, 339(12), 3073–3084.
Carballosa, W., Hernández-Gómez J. C., Piñeiro, L. R., & Sigarreta, J. M. (2016). Generating function: multiple ortogonal polynomials. Applied Mathematical Science, 10(16), 761–772.
Carballosa, W., Rodríguez, J. M., & Sigarreta, J. M. (2016). New inequalities on the hyperbolicity constant of line graphs. Ars Combinatoria, 129, 367–386.
Sigarreta, J. M. (2016). Differential in Cartesian product graphs. Ars Combinatoria, 126, 259–267.
Rodríguez, J. M., & Sigarreta, J. M. (2016). Spectral properties of geometric-arithmetic index. Applied Mathematics and Computation, 277, 142–153.
Bermudo, S., De la Torre, L., Martín-Caraballo, A. M., & Sigarreta, J. M. (2015). The differential of the strong product graphs. International Journal of Computer Mathematics, 92(6), 1124–1134.
Bermudo, S., Rodríguez, J. M., & Sigarreta, J. M. (2015). On the differential in graphs. Utilitas Mathematica, 97, 257–270.
Carballosa, W., Rodríguez, J. M., & Sigarreta, J. M. (2015). Hyperbolicity in the corona and join of graphs. Aequationes Mathematicae, 89, 1311–1327. https://doi.org/10.1007/s00010-014-0324-0
Fernau, H., Rodríguez-Velázquez, J. A., & Sigarreta, J. M. (2015). Global powerful r-alliances and total k-domination in graphs. Utilitas Mathematica, 98, 127–147.
Hernández-Gómez, J. C., Rodríguez, J. M., & Sigarreta, J. M. (2015). Mathematical properties on the hyperbolicity of circulant networks. Advances in Mathematical Physics, 11, https://doi.org/10.1155/2015/723451
Portilla, A., Rodríguez, J. M., Sigarreta, J. M., & Vilaire, J. M. (2015). Gromov hyperbolic tessellation graphs. Utilitas Mathematica, 97, 193–211.
Rodríguez, J. M., & Sigarreta, J. M. (2015). On the Geometric-Arithmetic Index. MATCH Communications in Mathematical and in Computer Chemistry, 74, 103–120.
Rodríguez, J. M., & Sigarreta, J. M. (2015). Spectral study of the Geometric-Arithmetic Index. MATCH Communications in Mathematical and in Computer Chemistry, 74, 121-135.
Rodríguez-Velázquez, J. A., Kuziak, D., Yero, I.G., & Sigarreta, J. M. (2015). The metric dimension of strong product graphs. Carpathian Journal of Mathematics, 31(2), 261–268.
Sigarreta, J. M. (2015). Bounds for the geometric-arithmetic index of a graph. Miskolc Mathematical Notes, 16(2), 1199–1212.
Capítulos de Libros
Rodríguez, J. M., & Sigarreta, J. M. (2017). The harmonic index. In I. Gutman et. al. (Eds.), Bounds in Chemical Graph Theory–Basics (pp. 229–281). Serbian Chemical Society. ISBN 978-86-6009-043-2
Carballosa, W., Rodríguez, J. M., Sigarreta, J. M., & Torres, Y. (2016). Alliance polynomial. In Y. Shi et. al. (Eds.), Graph Polynomials (Chapter 10, 29 pp.). CRC Press. https://doi.org/10.1201/9781315367996-11
*Productividad académica de 2015 a la fecha.