Dr. José María Sigarreta Almira 

Productividad Académica

Artículos

• Abreu-Blaya R., Batanero J., Rodríguez J.M. and Sigarreta J.M. On irregularity integral Sombor indices: theory and chemical applications. Journal of Mathematical Chemistry, 63(3) (2025), 731-748. https://doi.org/10.1007/s10910-024-01697-3.
• Molina E.D., Rodríguez-García J.M., Sigarreta J.M. and Torralbas Fitz S.J. On the Gutman-Milovanović index and chemical applications. AIMS mathematics, 10(2) (2025), 1998-2020. https://doi.org/10.3934/math.2025094.
• Peralta-Martínez K., Méndez-Bermúdez J.A. and Sigarreta J.M. Hyperbolic random geometric graphs: Structural and spectral properties. Physical Review E, 111(2) (2025), 024309. https://doi.org/10.1103/PhysRevE.111.024309.
• Martínez-Pérez A., Molina E.D., Rodríguez-García J.M. and Sigarreta J.M. On Sum Lordeg index. Filomat, 39(9) (2025), 3069-3082. https://www.jstor.org/stable/27388475.
• Santiesteban D.A., Portilla A., Rodríguez-García J.M. and Sigarreta J.M. On fractal derivatives and applications. Mathematical Methods in the Applied Sciences, 48(11) (2025), 10726-10739. https://doi.org/10.1002/mma.10914.
• Rada J., Rodríguez J.M. and Sigarreta J.M. Optimization problems for general elliptic Sombor index. MATCH Commun. Math. Comput. Chem. 93 (2025), 819-838. 10.46793/match.93-3.819R.
• Bosch P., Paz-Moyado J.A., Rodríguez-García J.M. and Sigarreta J.M. Refinement of Jensen-type inequalities: fractional extensions (global and local). AIMS MATHEMATICS, 10(3) (2025), 6574-6588. DOI: 10.3934/math.2025301.
• Korus P., Nápoles-Valdés J.E., Rodríguez-García J.M. and Sigarreta J.M. Petrovic-type inequality via fractional calculus. Miskolc University Press, 25 (2) (2024), 833-843. https://doi.org/10.18514/MMN.2024.4366.
• Hernández-Basilio L.A., Leaños-Macías J., Rosario-Cayetano O. and Sigarreta J.M. The differential on graph operator R(G). RAIRO: Operations Research, 58 (6) (2024), 5467. DOI 10.1051/ro/2024212.
• Bosch P., Rodríguez J.M, Sigarreta J.M. and Tourís E. Some new Milne-type inequalities. Journal of Inequalities and Applications, 2024(1), 106. https://doi.org/10.1186/s13660-024-03184-4.
• Rada J. Rodríguez J.M. and Sigarreta J.M. Sombor index and elliptic Sombor index of benzenoid systems. Applied Mathematics and Computation, 475 (2024), 128756. https://doi.org/10.1016/j.amc.2024.128756.
• Parra-Inza E., Vakhania N., Sigarreta J.M. and Hernández-Águilar J.A. Approximating a Minimum Dominating Set by Purification. Algorithms, 17(6) (2024), 258. https://doi.org/10.3390/a17060258. 
• Méndez J., Reyes R., Rodríguez J.M and Sigarreta J.M. Gromov hyperbolicity of Johnson and Kneser graphs. Aequationes mathematicae, 98(3) (2024), 661-686. https://doi.org/10.1007/s00010-024-01076-y. 
• Martínez-Martínez C.T., Méndez-Bermúdez J.A. and Sigarreta J.M. Topological and spectral properties of random digraphs. Physical Review E, 109(6) (2024), 064306. https://doi.org/10.1103/PhysRevE.109.064306.
• Bosch P., Portilla A., Rodríguez J.M and Sigarreta J.M. On a generalization of the Opial inequality. Demonstratio Mathematica, 57(1) (2024), 20230149. https://doi.org/10.1515/dema-2023-0149.
• Cabrera-Martínez A., Rios-Villamar I., Rueda-Vázquez J.M. and Sigarreta J.M. Double total domination in the generalized lexicographic product of graphs. Quaestiones Mathematicae, 47(3) (2024), 689-703. https://doi.org/10.2989/16073606.2023.2252183.
• Carballosa W., Rodríguez J.M. and Sigarreta J.M. On the hyperbolicity of Delaunay triangulations. AIMS Mathematics, 8 (12) (2024), 28780-28790. https://doi.org/10.3934/math.20231474
• Parra-Inza E., Vakhania N., Sigarreta J.M. and Hernández-Mira F.A. Algorithms for the global domination problem. arXiv:2312.04526, (2023).
  doi: 10.1016/j.cor.2024.106876
• Abreu-Blaya R., Rodríguez J.M and Sigarreta J.M. On the generalized Fourier transform. Mathematical Methods in the Applied Sciences, 46(16) (2023), 16709-16733. https://doi.org/10.1002/mma.9471.
• Paz-Moyado J.A., Quintana-Mato Y., Rodríguez J.M. and Sigarreta J.M. New reverse Hölder-type inequalities and applications. Mathematical Inequalities & Applications, 26(4) (2023), 1021-1038. doi:10.7153/mia-2023-26-63.
• Rada J., Rodríguez J.M. and Sigarreta J.M. On integral Sombor indices. Applied Mathematics and Computation, 452 (2023), 128036. https://doi.org/10.1016/j.amc.2023.128036.
• Hernández L.A., Leaños J., Rosario O. and Sigarreta J.M. The differential on Graph Operator R (G). arXiv preprint arXiv:2308.02564, (2023).
  https://doi.org/10.48550/arXiv.2308.02564.
• Rios-Villamar I., Cabrera-Martínez A., Sánchez J.L. and Sigarreta J.M. Relating the total {2}-domination number with the total domination number of graphs. Discrete Applied Mathematics, 333. (2023), 90-95. https://doi.org/10.1016/j.dam.2023.03.018.
• Molina E.D., Rodríguez J.M., Sánchez J.L. and Sigarreta J.M. Inverse degree index: exponential extension and applications. Journal of Mathematical Chemistry, 61(5) (2023), 1217-1237. https://doi.org/10.1007/s10910-023-01453-z. 
• Carballosa W., Quintana Y., Rodríguez J.M. and Sigarreta J.M. Exponential topological indices: optimal inequalities and applications. Journal of Mathematical Chemistry, 61(5) (2023), 933-949. https://doi.org/10.1007/s10910-022-01446-4. 
• Bosch P., Rodríguez J.M. and Sigarreta J.M. On new Milne-type inequalities and applications. Journal of Inequalities and Applications, 2023 (1), 3. https://doi.org/10.1186/s13660-022-02910-0. 
• Kulli V.R., Méndez-Bermúdez J.A., Rodríguez-García J.M. and Sigarreta J.M. Revan Sombor indices: Analytical and statistical study. AIMS, 20(2) (2023), 1801-1819. DOI: 10.3934/mbe.2023082.
• Abreu-Blaya R., Cruz M.P., Sánchez J.L. and Sigarreta J.M. Riemann problem for bianalytic functions on h-summable curves. Complex Variables and Elliptic Equations, 67(12) (2022), 2995-3008. https://doi.org/10.1080/17476933.2021.1963712.
• Hernández-Gómez J.C., Reyes R., Rodríguez J.M. and Sigarreta J.M. Fractional model for the study of the tuberculosis in Mexico. Mathematical Methods in the Applied Science, 45(17) (2022), 10675-10688.  https://doi.org/10.1002/mma.8392.
• Herrera-Peláez M.A., Areu-Blaya R., Moreno-García A. and Sigarreta J.M. Integral representation formulas for higher order Dirac equations. Journal of Mathematical Analysis and Applications, 515(2) (2022), 126414. https://doi.org/10.1016/j.jmaa.2022.126414.
• Basilio L.A., Bermudo S., Leaños J. and Sigarreta J.M. The differential of the line graph L (G). Discrete Applied Mathematics, 321 (2022), 82-89. https://doi.org/10.1016/j.dam.2022.05.004.
• Bosch P., Quintana Y., Rodríguez J.M. and Sigarreta J.M. Jensen-type inequalities for m-convex functions. Open Mathematics, 20(1) (2022), 946-958.
• Mendéz-Bermúdez J.A., Rodríguez J.M., Sánchez J.L. and Sigarreta J.M. Analytical and computational properties of the variable symmetric division deg index. Math. Biosci. Eng. 19 (2022), 8908-8922. DOI: 10.3934/mbe.2022413.
• Sigarreta J.M. Extremal problems on exponential vertex-degree-based topological indices.  Math. Biosci. Eng. 19(7) (2022), 6985-6995. DOI: 10.3934/mbe.2022329.  
• Portilla A., Rodríguez J.M. and Sigarreta J.M. On Opial-type inequalities via fractional calculus. arXiv preprint arXiv:2204.10138, (2022). 
• Arreola-Bautista L.D., Reyna G., Romero-Valencia J. and Sigarreta J.M. Note on structural properties of graphs. Open Mathematics, 20(1) (2022), 16-23. https://doi.org/10.1515/math-2021-0137. 
• Hernández J.C., Rodríguez-García J.M., Rosario O. and Sigarreta J.M. Extremal problems on the general Sombor index of a graph. AIMS, 7(5) (2022), 8330-8343. DOI: 10.3934/math.2022464. 
• Rada J., Rodríguez J.M. and Sigarreta J.M. Geometric properties of chemical graphs. International Journal of Quantum Chemistry, 121(23) (2021), e26798. https://doi.org/10.1002/qua.26798.
• Cruz R., Rada J. and Sigarreta J.M. Sombor index of trees with at most three branch vertices. Applied Mathematics and Computation, 409 (2021), 126414. https://doi.org/10.1016/j.amc.2021.126414.
• Martínez-Cabrera A., Hernández-Gómez J.C. and Sigarreta J.M. On the quasi-total Roman domination number of graphs. Mathematics, 9(21) (2021), 2823. https://doi.org/10.3390/math9212823. 
• Bosch P., Carmenate H.J., Rodríguez J.M. and Sigarreta J.M. Generalized inequalities involving fractional operators of Riemann-Liouville type. AIMS, 7(1) (2021), 1470-1485. DOI: 10.3934/math.2022087. 
• 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.
• Bosch P., Paz-Moyado J.A., Rodríguez-García J.M. and Sigarreta J.M. Refinement of Jensen-type inequalities: fractional extensions (global and local). AIMS MATHEMATICS, 10(3) (2025), 6574-6588. DOI: 10.3934/math.2025301.
• 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.