Dr. José M. Sigarreta Almira

Dr. José M. Sigarreta Almira

Esta dirección de correo electrónico está siendo protegida contra los robots de spam. Necesita tener JavaScript habilitado para poder verlo.

FORMACIÓN ACADÉMICA

• Doctorado en  Ciencias (Ingeniería Matemáticas). Universidad Carlos III de Madrid, España.
• Doctor en Ciencias (Metodología de la Matemática). Comisión Nacional de Grados Científicos, Cuba.
• Doctor en Matemática. DGESU,  SEP, México.
• Maestría en Ciencias (Metodología de la Matemática), Cuba.
• Maestría en Ciencias (Matemática Aplicada). España
• Especialista en Matemática Avanzada. CUJAE-UPV, Cuba.
• Licenciatura en Educación Matemáticas. Universidad de Ciencias Pedagógicas de Holguín.

DISTINCIONES

• Miembro del Sistema Nacional de Investigadores (Nivel III).
• Evaluador  Acreditado (RCEA) del CONACYT en el Área 1. Física,Matemáticas y Ciencias de la Tierra
• Miembro del Padrón Estatal de Investigadores,
• Perfil Deseable PROMEP
• Miembro del Cuerpo Académico Consolidado en “Matemática Educativa”.
• Recibió el premio que otorga la Comisión Nacional de Grados Científicos de la República de Cuba a la mejor tesis de doctorado en los años 2000-2001.
• Miembro del Comité Editorial de la Revista internacional: International Journal of Physics and Mathematical Sciences.
• Miembro del Comité Editorial de la Revista internacional: International Journal of Physics and Mathematical Sciences.
• Miembro del Comité Editorial de la Revista internacional: Research and communications in Mathematics and Mathematical Science.
•  Miembro del Comité Editorial de la Revista internacional: The Scientific World Journal: Geometry. 2012-2017.
•  Miembro del Comité Editorial de la Revista Nacional: Revista Sabiduría (TLAMATI).
• Miembro de el Comité Revisor: Reviewer for Mathematical Reviews of American Mathematical Society. 
•  Miembro del Comité Editorial de la Revista internacional: International Journal of Discrete Mathematic.

EXPERIENCIA PROFESIONAL

• Actualmente es profesor investigador de tiempo completo de la Unidad Académica de Matemáticas de la Universidad Autónoma de Guerrero impartiendo cursos de matemáticas, impartiendo clases en la Maestría en Ciencias Matemáticas y el Doctorado en matemáticas.
  
  
• Ha realizado varias estancias académicas tanto a nivel nacional como internacional, ha participado como conferencista en eventos nacionales e internacionales.
• Cuenta con diversos artículos en el área de Matemática Discreta y Geometría.

Productividad 2020-2025

ARTÍCULOS:

• Ernesto Parra Inza, Nodari Vakhania, José María Sigarreta Almira, Frank Ángel Hernández Mira, Algorithms for the global domination problem, Computers & Operations Research, 3 (2025)10687. https://doi.org/10.1016/j.cor.2024.106876.
• Rada, Juan, José M. Rodríguez y José M. Sigarreta. "Problemas de optimización para el índice elíptico general de Sombor". MATCH Commun. Math. Comput. Chem 93 (2025): 819-838.
• Peralta-Martinez, Kevin, J. A. Méndez-Bermúdez, and José M. Sigarreta. "Hyperbolic random geometric graphs: Structural and spectral properties." Physical Review E 111.2 (2025): 024309.
• Abreu-Blaya, Ricardo, R., Batanero, J., Rodríguez, J. M., & Sigarreta, J. M.  "On irregularity integral Sombor indices: theory and chemical applications." Journal of Mathematical Chemistry 63.3 (2025): 731-748.
• Molina, Edil D., Rodríguez-García, J. M., Sigarreta, J. M., & Fitz, S. J. T.l. "On the Gutman-Milovanović index and chemical applications." AIMS mathematics 10.2 (2025): 1998-2020.
• W Carballosa, Juan E Nápoles, O Rosario, JM Sigarreta. Mathematical Results on the Harmonic polynomial Communcations in Combinatoric and Optmizations 9 (2) (2024), 279-295. https://doi.org/10.22049/cco.2023.28920.1779E Parra, N Vakhania, JM Sigarreta, F Hernández. Exact and Heuristic Algorithms for the Domination Problem. European Journal of Operational Research 313 (3) (2024) 926-936 DOI: 10.1016/j.ejor.2023.08.033 
• A Cabrera, JL Sánchez, JM Sigarreta. On the total domination number of total graphs. Discussiones Mathematicae Graph Theory  44(3) (2024) 933-951. https://doi.org/10.7151/dmgt.2478 
• A Cabrera-Martínez, IR Villamar, JM Rueda-Vázquez, JM Sigarreta Almira. Quaestiones Mathematicae 47 (3) (2024), 689-703.https://doi.org/10.2989/16073606.2023.2252183
• JA Méndez-Bermúdez, R Reyes, JM Sigarreta, M Villeta. On the variable inverse sum deg index: theory and applications. Journal of Mathematical Chemistry 62 (1) (2024), 250-268. https://doi.org/10.1007/s10910-023-01529-w
• A Cabrera Martínez, FA Hernández Mira, JM Sigarreta Almira, IG YeroA note on total co-independent domination in trees. arXiv e-prints, arXiv: 2005.02185 19(3) (2024), 184-195. https://ui.adsabs.harvard.edu/link_gateway/2020arXiv200502185C/doi:10.48550/arXiv.2005.02185
• Aguilar-Sánchez, R., Mendez-Bermudez, J. A., Rodríguez, J. M., & Sigarreta. Multiplicative topological indices: Analytical properties and application to random networks. AIMS Mathematics, 9(2), 3646-3670. (2024). https://doi.org/10.3934/math.2024179
• J Rada, JM Rodríguez, JM Sigarreta. Optimization Problems for Variable Randić Type Lodeg Index and Other Indices. MATCH Commun. Math. Comput. Chem. 91 (2024) 741–767. DOI: 10.46793/match.91-3.741R
• P Bosch, JM Rodríguez, JM Sigarreta, E Touris. Some new Milne-type inequalities. Journal of Inequalities and Applications (2024) 2024:106. DOI:10.1186/s13660-024-03184-4
• J Rada, JM Rodríguez, JM Sigarreta. Sombor index and elliptic Sombor index of benzenoid systems. Applied Mathematics and Computation 475, 128756. (2024). https://doi.org/10.1016/j.amc.2024.128756
• CT Martínez-Martínez, JA Méndez-Bermúdez, JM Sigarreta. Topological and spectral properties of random digraphs. Physical Review E 109 (6), 064306. (2024). https://doi.org/10.1103/PhysRevE.109.064306
• E Parra, N Vakhania, JM Sigarreta, JA Hernández. Approximating a Minimum Dominating Set by Purification. Algorithms 2024, 17, 258.10.3390/a17060258.https://www.researchgate.net/publication/381429208_Approximating_a_Minimum_Dominating_Set_by_Purification 
• P Bosch, A Portilla, JM Rodríguez, JM Sigarreta. On a generalization of the Opial inequality. Demonstratio Mathematica  2024; 57: 20230149. DOI: 10.1515/dema-2023-0149
• JA Méndez, R Reyes, JM Rodríguez, JM Sigarreta.  Gromov hyperbolicity of Johnson and Kneser graphs. Aequationes mathematicae 98 (2024), 661–686. DOI: 10.1007/s00010-024-01076-y
• DA Santiesteban, R Abreu, Y Peña, JM Sigarreta. Fractional Fischer decompositions by inframonogenic functions. Journal of Mathematical Analysis and Applications 539 (2024) 128468.DOI: 10.1016/j.jmaa.2024.128468
• JA Méndez-Bermúdez, R Aguilar-Sánchez, JM Sigarreta, ED Leonel. Scaling properties of the action in the Riemann-Liouville fractional standard map. Physical Review E 109 (3), 034214, (2024). https://doi.org/10.1103/PhysRevE.109.034214
  VR Kulli, JA Mendez-Bermudez, JM Rodriguez, JM Sigarreta. Revan Sombor indices: Analytical and statistical study. Mathematical Biosciences and Engineering 20 (2), 1801-1819. (2023). https://doi.org/10.3934/mbe.2023082
• P Bosch, JM Rodriguez, JM Sigarreta. Oscillation results for a nonlinear fractional differential equation. AIMS Mathematics 8 (5), 12486-12505. (2023). DOI:10.3934/math.2023627
• JA Méndez-Bermúdez, K Peralta-Martinez, JM Sigarreta, ED Leonel. Leaking from the phase space of the Riemann–Liouville fractional standard map. Chaos, Solitons & Fractals, 2023, 172, 113532. https://doi.org/10.1016/j.chaos.2023.113532
• Edil D Molina, José M Rodríguez, José L Sánchez, José M Sigarreta. Inverse degree index: exponential extension and applications. Journal of Mathematical Chemistry 61 (5), 1217-1237. (2023). https://doi.org/10.1016/j.chaos.2023.113532
• J Méndez, R Reyes, JM Rodríguez, JM Sigarreta (2023). Geometric and topological properties of the complementary prism networks. Mathematical Methods in the Applied Sciences 46 (8), 9555-9575. https://doi.org/10.1002/mma.9074
• I Ríos Villamar, A Cabrera-Martínez, JL Sánchez, José María Sigarreta (2023). Relating the total {2}-domination number with the total domination number of graphs. Discrete Applied Mathematics 333, 90-95.10.1016/j.dam.2023.03.018
• J Rada, JM Rodríguez, JM Sigarreta (2023). On integral Sombor indices.Applied Mathematics and Computation 452.128036. https://doi.org/10.1016/j.amc.2023.128036
• ED Molina, P Bosch, JM Sigarreta, E Tourís (2023). On the variable inverse sum deg index. Mathematical biosciences and engineering: MBE, 20(5), 8800-8813. https://doi.org/10.3934/mbe.2023387
• Paul Bosch, José M Rodríguez, José M Sigarreta(2023) On new Milne-type inequalities and applications. Journal of Inequalities and Applications. https://doi.org/10.1186/s13660-022-02910-0
• W Carballosa, Y Quintana, JM Rodríguez, JM Sigarreta. Exponential topological indices: optimal inequalities and applications.Journal of Mathematical Chemistry, 2023, 61 (5), 933-949. https://doi.org/10.1007/s10910-022-01446-4
• ED Molina, JM Rodríguez, JL Sánchez, JM Sigarreta (2023) Applications of the inverse degree index to molecular structures. Journal of Mathematical Chemistry 62 (1), 228-249 https://doi.org/10.1007/s10910-023-01526-z
• R Abreu‐Blaya, JM Rodríguez, JM Sigarreta (2023. On the generalized Fourier transform. Mathematical Methods in the Applied Sciences 46 (16), 16709-16733. https://doi.org/10.1002/mma.9471
• JAP Moyado, Y QUINTANA, JM Rodríguez, JM Sigarreta (2023). NEW REVERSE HOLDER–TYPE INEQUALITIES AND APPLICATIONS. Math. Inequal. Appl 26 (4), 1021-1038. http://dx.doi.org/10.7153/mia-2023-26-63
• Walter Carballosa, JM Rodríguez, JM Sigarreta (2023) On the hyperbolicity of Delaunay triangulations. AIMS Math 8 (12), 28780-28790. doi: 10.3934/math.20231474
• JC Hernández, JM Rodríguez, O Rosario, JM Sigarreta. Extremal problems on the general Sombor index of a graph. AIMS Math, 2022, 7, 8330-8343.http://dx.doi.org/%2010.3934/math.2022464
• FAH Mira, EP Inza, JMS Almira, N Vakhania. A polynomial-time approximation to a minimum dominating set in a graph. Theoretical Computer Science, 2022, 930, 142-156. https://doi.org/10.1016/j.tcs.2022.07.020
• Ricardo Abreu Blaya, Martha Paola Cruz De la Cruz, Jose Luis Sanchez Santiesteban, Jose Maria Sigarreta Almira (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
• Martha Paola Cruz, Ricardo Abreu-Blaya, Paul Bosch, José M Rodríguez, José M Sigarreta (2022). On Ostrowski type inequalities for generalized integral operators. Journal of Mathematics 2022 (1), 2247246. https://doi.org/10.1155/2022/2247246
• MAH Peláez, RA Blaya, AM García, JMS Almira (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
• KC Das, J Rodriguez, JM Sigarreta. On the generalized ABC index of graphs. MATCH Commun. Math. Comput. Chem, 2022, 87, 147-169. https://doi.org/10.46793/match.87-1.147D
• JM Sigarreta. Extremal problems on exponential vertex-degree-based topological indices. Math. Biosci. Eng. 2022. 19 (7), 6985-6995. http://dx.doi.org/10.3934/mbe.2022329
• Pineda-Pineda, J. J., Muñoz-Rojas, J., Morales-García, Y. E., Hernández-Gómez, J. C., & Sigarreta, J. M. (2022). Biomathematical model for water quality assessment: macroinvertebrate population dynamics and dissolved oxygen. Water, 14(18), 2902. https://doi.org/10.3390/w14182902
• CT Martınez-Martınez, JA Mendez-Bermudez, José M Rodrıguez, José M Sigarreta (2022). Computational and analytical studies of the harmonic index in Erdös–Rényi models. MATCH Commun. Math. Comput. Chem 85, 395-426.
• Tania Rosa Gómez Santiesteban,  Ricardo Abreu Blaya, Juan C. Hernández Gómez , José María Sigarreta Almira  (2022). A Cauchy Transform for Polymonogenic Functions on Fractal Domains. Complex Analysis and Operator Theory 16 (42). DOI:10.1007/s11785-022-01228-5
• LD Arreola, G Reyna, J Romero, JM Sigarreta  (2022). Note on structural properties of graphs. Open Mathematics 20 (1). DOI:10.1515/math-2021-0137
• S Bermudo, JM Rodríguez, JA Rodríguez-Velázquez, JM Sigarreta (2022). The adjacency dimension of graphs. ARS MATHEMATICA CONTEMPORANEA 22 (3), # P3. 02-16 pp.https://doi.org/10.26493/1855-3974.2496.07a
• A Ramirez-Arellano, JM Sigarreta Almira, J Bory Reyes (2022) Fractional Online Learning Rate: Influence of Psychological Factors on Learning Acquisition. Nonlinear Dynamics, Psychology & Life Sciences 26 (3) https://pubmed.ncbi.nlm.nih.gov/35816135/
• P Bosch, Y Quintana, JM Rodríguez, JM Sigarreta. Jensen -type inequalities for m-convex functions. Open Mathematics, 2022, 20 (1), 946-958. https://doi.org/10.1515/math-2022-0061
• R Aguilar-Sanchez, JA Mendez-Bermudez, JM Rodriguez, JM Sigarreta (2022). Analytical and computational properties of the variable symmetric division deg index. Mathematical Biosciences and Engineering. https://doi.org/10.48550/arXiv.2106.00913
• LA Basilio, S Bermudo, J Leaños, JM Sigarreta (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
• JC Hernández‐Gómez, R Reyes, JM Rodríguez, JM Sigarreta (2022). Fractional model for the study of the tuberculosis in Mexico. Mathematical Methods in the Applied Sciences 45 (17), 10675-10688. https://doi.org/10.1002/mma.8392
• P Bosch, H Carmenate, JM Rodríguez, JM Sigarreta. Generalized inequalities involving fractional operators of the Riemann-Liouville type. AIMS Mathematics, 2022, 7(1): 1470-1485. doi: 10.3934/math.2022087
• Juan Rada, José M Rodríguez, José M Sigarreta. General properties on Sombor indices. Discrete Applied Mathematics 299, 87-97. (2021). https://doi.org/10.1016/j.dam.2021.04.014
• J Rada, JM Rodríguez, JM Sigarreta (2021). Geometric properties of chemical graphs. International Journal of Quantum Chemistry 121 (23), e26798. https://doi.org/10.1002/qua.26798
• AC Martínez, JC Hernández-Gómez, JM Sigarreta (2021). On the quasi-total Roman domination number of graphs.Mathematics 9 (21), 2823. https://doi.org/10.3390/math9212823
• P Bosch, ED Molina, JM Rodríguez, JM Sigarreta. Inequalities on the Generalized ABC Index. Mathematics, 2021, 9 (10), 1151. https://doi.org/10.3390/math9101151
• Alberto Fleitas, Juan E Nápoles, José M Rodríguez, José M Sigarreta. Note on the generalized conformable derivative Revista de la Unión Matemática Argentina 62 (2) (2021), 443-457. https://doi.org/10.33044/revuma.1930
• R Aguilar-Sanchez, JA Mendez-Bermudez, JM Rodríguez, JM Sigarreta. Analytical and statistical studies of Rodriguez–Velazquez indices. Journal of Mathematical Chemistry, 2021, 59, 1246-1259. https://doi.org/10.1007/s10910-021-01239-1
• LA Basillo, S Bermudo, JC hernábdez, JM Sigarreta. General Properties on Differential Sets of a Graph. Axioms 10 (4), 265. (2021). DOI:10.3390/axioms10040265
• JM Rodríguez, JM Sigarreta. Optimal Upper Bounds of Geometric-Arithmetic Index. MATCH Communications in Mathematical and Computer Chemistry 85 (2021) 375-394
• Hernández-Mira, F. A., Rosas-Acevedo, J. L., Reyes-Umaña, M., Violante-González, J., Sigarreta-Almira, J. M., & Vakhania, N. (2021). Multimetric Index to Evaluate Water Quality in Lagoons: A Biological and Geomorphological Approach. Sustainability 13 (9), 4631. https://doi.org/10.3390/su13094631
• RA Blaya, JA Mendez-Bermudez, AM García, JM Sigarreta (2021). Boundary value problems for the Lamé-Navier system in fractal domains. AIMS Mathematics 6 (10), 10449-10465. http://dx.doi.org/%2010.3934/math.2021606
• A Granados, A Portilla, JMR Garcıa, J Sigarreta (2021). Inequalities on the geometric-arithmetic index. Hacettepe Journal of Mathematics and Statistics 50 (3), 778-794. https://doi.org/10.15672/hujms.749744
• R Abreu-Blaya, R Reyes, JM Rodríguez, JM Sigarreta (2021). Inequalities on the generalized atom bond connectivity index. Journal of Mathematical Chemistry 59 (3), 775-791. https://doi.org/10.1007/s10910-021-01219-5
• José M Sigarreta. Total domination on some graph operators. Mathematics 2021, 9 (3), 241. https://doi.org/10.3390/math9030241
• Rocío Aguilar-Sánchez, JA Méndez-Bermúdez, José M Rodríguez, José M Sigarreta. Normalized Sombor indices as complexity measures of random networks. Entropy. https://doi.org/10.3390/e23080976
• Roberto Cruz, Juan Rada, José M Sigarreta. Sombor index of trees with at most three branch vertices. Applied Mathematics and Computation 409, 126414 (2021). https://doi.org/10.1016/j.amc.2021.126414
• José M Sigarreta. Mathematical properties of variable topological indices. Symmetry 2021, 13 (1), 43. https://doi.org/10.3390/sym13010043
• José M Rodríguez, José L Sánchez, José M Sigarreta, Eva Tourís. Bounds on the arithmetic-geometric index Symmetry 2021, 13(4), 689. https://doi.org/10.3390/sym13040689
• P Bosch, HJ Carmenate García, JM Rodríguez, JM Sigarreta. On the generalized Laplace transform. Symmetry, 2021, 13 (4), 669. https://doi.org/10.3390/sym13040669
• CT Martínez-Martínez, JA Mendez-Bermudez, José M Rodríguez, José M Sigarreta. Computational and analytical studies of the Randić index in Erdös–Rényi models. Applied Mathematics and Computation 377, 2020, 125137. https://doi.org/10.1016/j.amc.2020.125137
  Abel Cabrera-Martínez, Juan Carlos Hernández-Gómez, Ernesto Parra-Inza, Jose Maria Sigarreta Almira. On the Total Outer k-Independent Domination Number of Graphs. Mathematics, 2020, 8 (2), 194. https://doi.org/10.3390/math8020194
• A Portilla, JM Rodríguez, JM Sigarreta, E Tourís (2020). Gromov hyperbolicity in directed graphs. Symmetry 12 (1), 105. https://doi.org/10.3390/sym12010105
• Aldo Ramirez-Arellano, José María Sigarreta Almira, Juan Bory-Reyes. Fractional information dimensions of complex networks. Chaos: An Interdisciplinary Journal of Nonlinear Science 30, 093125 (2020). https://doi.org/10.1063/5.0018268
• R Abreu-Blaya, J Bory-Reyes, MA Herrera-Peláez, JM Sigarreta-Almira (2020). Integral Representation Formulas Related to the Lamé—Navier System. Acta Mathematica Sinica, English Series 36 (12), 1341-1356. https://doi.org/10.1007/s10114-020-9332-2
• FA Hernández Mira, E Parra Inza, JM Sigarreta Almira, N Vakhania (2020). Properties of the Global Total k-Domination Number. Mathematics 9 (5), 480. https://doi.org/10.3390/math9050480
• Walter Carballosa, JM Rodrıguez, Jose M Sigarreta. Extremal problems on the variable sum exdeg index. MATCH Commun. Math. Comput. Chem 84 (2020), 753-772
• Paul Bosch, JF Gómez-Aguilar, Jose M Rodriguez, Jose M Sigarreta. Analysis of dengue fever outbreak by generalized fractional derivative. Fractals 28 (8), 2040038 (2020). https://doi.org/10.1142/S0218348X20400381
• CT Martínez-Martínez, JA Mendez-Bermudez, José M Rodríguez, José M Sigarreta. Computational and analytical studies of the Randić index in Erdös–Rényi models. Applied Mathematics and Computation 377, 2020, 125137. https://doi.org/10.1016/j.amc.2020.125137
• Rosalio Reyes, José M Rodríguez, José M Sigarreta, María Villeta. Domination on hyperbolic graphs. Discrete Mathematics 343 (11), 2020, 112094. doi.org/10.1016/j.disc.2020.112094
• Walter Carballosa, Domingo Pestana, José M Sigarreta, Eva Tourís. Relations between the general sum connectivity index and the line graph. Journal of Mathematical Chemistry 58, 2273-2290, (2020). https://doi.org/10.1007/s10910-020-01180-9
• F Alonso-Pecina, JA Hernández, JM Sigarreta, N Vakhania (2020). Fast approximation for scheduling one machine. Mathematics 8 (9), 1524. https://doi.org/10.3390/math8091524
• R Aguilar-Sánchez, IF Herrera-González, JA Mendez-Bermudez, José M Sigarreta. Computational properties of general indices on random networks. Symmetry 2020, 12 (8), 1341. https://doi.org/10.3390/sym12081341
• Kinkar Chandra Das, José M Rodríguez, José M Sigarreta. On the maximal general ABC index of graphs with given maximum degree. Applied Mathematics and Computation 386, 2020, 125531. https://doi.org/10.1016/j.amc.2020.125531
• R Aguilar-Sánchez, JA Méndez-Bermúdez, Francisco A Rodríguez, José M Sigarreta. Topological versus spectral properties of random geometric graphs.Physical Review E 102, 042306, 2020. https://doi.org/10.1103/PhysRevE.102.042306 
• Jair J Pineda-Pineda, CT Martínez-Martínez, JA Méndez-Bermúdez, Jesús Muñoz-Rojas, José M Sigarreta. Application of bipartite networks to the study of water quality. Sustainability 2020, 12 (12), 5143. https://doi.org/10.3390/su12125143
• W Carballosa, A Granados, D Pestana, A Portilla, JM Sigarreta. Relations between some topological indices and the line graph. Journal of Mathematical Chemistry, 2020, 58 (3), 632-646. https://doi.org/10.1007/s10910-019-01091-4
• V Pacheco, JC Hernández, JM Sigarreta, N Vackania. Simple Constructive, Insertion, and Improvement Heuristics Based on the Girding Polygon for the Euclidean Traveling Salesman Problem. Algorithms. 10.3390/a13010005