sample of publications
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articles
- Applications of the inverse degree index to molecular structures. JOURNAL OF MATHEMATICAL CHEMISTRY. 62:228-249. 2024
- On the generalized Fourier transform. MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 46:16709-16733. 2023
- Upper and lower bounds for topological indices on unicyclic graphs. TOPOLOGY AND ITS APPLICATIONS. 339. 2023
- On integral Sombor indices. APPLIED MATHEMATICS AND COMPUTATION. 452. 2023
- Inverse degree index: exponential extension and applications. JOURNAL OF MATHEMATICAL CHEMISTRY. 61. 2023
- Exponential topological indices: optimal inequalities and applications. JOURNAL OF MATHEMATICAL CHEMISTRY. 2023
- Revan Sombor indices: Analytical and statistical study. Mathematical Biosciences and Engineering. 20:1801-1819. 2023
- Fractional model for the study of the tuberculosis in Mexico. MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 45:10675-10688. 2022
- Jensen-type inequalities for m-convex functions. Open Mathematics. 20:946-958. 2022
- On Ostrowski type inequalities for generalized integral operators. Journal of Mathematics. 2022:1-9. 2022
- Analytical and computational properties of the variable symmetric division deg index. Mathematical Biosciences and Engineering. 19:8908-8922. 2022
- The adjacency dimension of graphs. ARS Mathematica Contemporanea. 22:1-16. 2022
- Stability of p-parabolicity under quasi-isometries. MATHEMATISCHE NACHRICHTEN. 295:536-559. 2022
- Upper and lower bounds for generalized wiener indices on unicyclic graphs. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 88:179-198. 2022
- New lower bounds for the first variable Zagreb index. DISCRETE APPLIED MATHEMATICS. 306:166-173. 2022
- Extremal problems on the general Sombor index of a graph. AIMS Mathematics. 7:8330-8343. 2022
- Mean Sombor index. Discrete Mathematics Letters. 9:18-25. 2022
- On p-parabolicity of Riemannian manifolds and graphs. Revista Matematica Complutense. 35:179-198. 2022
- On the generalized ABC index of graphs. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 87:147-169. 2022
- Weakly discriminating vertex-degree-based topological indices. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 87:97-108. 2022
- Note on the generalized conformable derivative. Revista de la Union Matematica Argentina. 62:443-457. 2021
- Generalized inequalities involving fractional operators of Riemann-Liouville type. AIMS Mathematics. 7:1470-1485. 2021
- A decomposition for plane domains with the quasihyperbolic metric. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 502:1-28. 2021
- General properties on Sombor indices. DISCRETE APPLIED MATHEMATICS. 299:87-97. 2021
- Normalized sombor indices as complexity measures of random networks. Entropy. 23:976-983. 2021
- Geometric properties of chemical graphs. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY. 121:1-14. 2021
- A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs. Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas. 115:1-10. 2021
- Inequalities on the geometric-arithmetic index. Hacettepe Journal of Mathematics and Statistics. 50:778-794. 2021
- Inequalities on the generalized abc index. Mathematics. 9:1-17. 2021
- Analytical and statistical studies of Rodriguez-Velazquez indices. JOURNAL OF MATHEMATICAL CHEMISTRY. 59:1246-1259. 2021
- Some properties of the arithmetic-geometric index. Symmetry-Basel. 13:1-17. 2021
- Bounds on the arithmetic-geometric index. Symmetry-Basel. 13:689. 2021
- Computational and analytical studies of the harmonic index on Erdös-Rényi models. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 85:395-426. 2021
- Isoperimetric inequalities in Riemann surfaces and graphs. JOURNAL OF GEOMETRIC ANALYSIS. 31:3583-3607. 2021
- Lupas-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces. Bulletin of Mathematical Sciences. 11:1-20. 2021
- On the generalized Laplace transform. Symmetry-Basel. 13:669. 2021
- Inequalities on the generalized atom bond connectivity index. JOURNAL OF MATHEMATICAL CHEMISTRY. 59:775-791. 2021
- Topological indices and f-polynomials on some graph products. Symmetry. 13:1-20. 2021
- Optimal upper bounds of the geometric-arithmetic index. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 85:375-394. 2021
- On the maximal general ABC index of graphs with given maximum degree. APPLIED MATHEMATICS AND COMPUTATION. 386:1-12. 2020
- Domination on hyperbolic graphs. DISCRETE MATHEMATICS. 343:1-10. 2020
- Computational and analytical studies of the Randi¿ index in Erdös-Rényi models. APPLIED MATHEMATICS AND COMPUTATION. 377:1-14. 2020
- New Bounds for Topological Indices on Trees through Generalized Methods. Symmetry-Basel. 12:1097. 2020
- Analysis of Dengue fever outbreak by generalized fractional derivative. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY. 28:1-12. 2020
- On the conformable fractional logistic models. MATHEMATICAL METHODS IN THE APPLIED SCIENCES. 43:4156-4167. 2020
- Gromov hyperbolic in directed graphs. Symmetry. 12 :1-12. 2020
- Stability of the volume growth rate under quasi-isometries. Revista Matematica Complutense. 33:231-270. 2020
- On the inverse degree polynomial. Symmetry-Basel. 11:1-13. 2019
- f-polynomial on some graph operations. Mathematics. 7:1-18. 2019
- New Hermite-Hadamard Type Inequalities Involving Non-Conformable Integral Operators. Symmetry-Basel. 11:1-11. 2019
- A unified approach to bounds for topological indices on trees and applications. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 82:679-698. 2019
- Analysis of the local Drude model involving the generalized fractional derivative. OPTIK. 193:1-9. 2019
- On the hyperbolicity constant of circular-arc graphs. DISCRETE APPLIED MATHEMATICS. 263:244-256. 2019
- Several extremal problems on graphs involving the circumference, girth, and hyperbolicity constant. DISCRETE APPLIED MATHEMATICS. 263:177-194. 2019
- Inequalities on the inverse degree index. JOURNAL OF MATHEMATICAL CHEMISTRY. 57:1524-1542. 2019
- Some results on lower bounds for topological indices. JOURNAL OF MATHEMATICAL CHEMISTRY. 57:1472-1495. 2019
- Linear and non-linear inequalities on the inverse sum indeg index. DISCRETE APPLIED MATHEMATICS. 258:123-134. 2019
- Escaping geodesics in Riemannian surfaces with variable negative curvature. ADVANCES IN MATHEMATICS. 345:928-971. 2019
- Gromov hyperbolicity in lexicographic product graphs. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES. 129:1-20. 2018
- Erratum to "On a classical theorem on the diameter and minimum degree of a graph. ACTA MATHEMATICA SINICA-ENGLISH SERIES. 34:1907-1910. 2018
- Harmonic index and harmonic polynomial on graph operations. Symmetry-Basel. 10:1-15. 2018
- Stability of the injectivity radius under quasi-isometries and applications to isoperimetric inequalities. Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas. 112:1125-1247. 2018
- Hyperbolicity on graph operators. Symmetry-Basel. 10:1-10. 2018
- CMMSE-on the first general Zagreb index. JOURNAL OF MATHEMATICAL CHEMISTRY. 56:1849-1864. 2018
- CMMSE: A new approximation to the geometric-arithmetic index. JOURNAL OF MATHEMATICAL CHEMISTRY. 56:1865-1883. 2018
- Cheeger isoperimetric constant of Gromov hyperbolic manifolds and graphs. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. 20. 2018
- Weighted Sobolev spaces: Markov-type inequalities and duality. Bulletin of Mathematical Sciences. 8:233-256. 2018
- Hyperbolicity of direct products of graphs. Symmetry-Basel. 10 (279) :1-25. 2018
- New lower bounds for the second variable Zagreb index. JOURNAL OF COMBINATORIAL OPTIMIZATION. 36:194-210. 2018
- New lower bounds for the geometric-arithmetic index. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 79:451-466. 2018
- On the Hyperbolicity Constant in Graph Minors. Bulletin of the Iranian Mathematical Society. 2018
- Graph Theory. Symmetry-Basel. 10. 2018
- On the exponent of convergence of negatively curved manifolds without Green's function. PUBLICACIONS MATEMATIQUES. 62:177-183. 2018
- Mathematical properties on the hyperbolicity of interval graphs. Symmetry-Basel. 9 (255):1-13. 2017
- On a classical theorem on the diameter and minimum degree of a graph. ACTA MATHEMATICA SINICA-ENGLISH SERIES. 33:1477-1503. 2017
- Gromov hyperbolicity in Mycielskian graphs. Symmetry-Basel. 9. 2017
- On the geometric-arithmetic index by decompositions-CMMSE. JOURNAL OF MATHEMATICAL CHEMISTRY. 55:1376-1391. 2017
- Alliance polynomial of regular graphs. DISCRETE APPLIED MATHEMATICS. 225:22-32. 2017
- The hyperbolicity constant of infinite circulant graphs. Open Mathematics. 15:800-814. 2017
- Planar Riemann surfaces with uniformly distributed cusps: parabolicity and hyperbolicity. MATHEMATISCHE NACHRICHTEN. 290:1097-1112. 2017
- Gromov Hyperbolicity of Regular Graphs. Ars Combinatoria. 130:395-416. 2017
- New inequalities involving the geometric-arithmetic index. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 78:361-374. 2017
- New results on the harmonic index and its generalizations. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 78:387-404. 2017
- Small values of the hyperbolicity constant in graphs. DISCRETE MATHEMATICS. 339:3073-3084. 2016
- New inequalities on the hyperbolicity constant of line graphs. ArXiv.org. 129:367-386. 2016
- Bounds on Gromov hyperbolicity constant. Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas. 110:321-342. 2016
- Gromov hyperbolicity of periodic graphs. Bulletin of the Malaysian Mathematical Sciences Society. 39:S89-S116. 2016
- Zeros of Sobolev orthogonal polynomials via Muckenhoupt inequality with three measures. ACTA APPLICANDAE MATHEMATICAE. 142:9-37. 2016
- Spectral properties of geometric-arithmetic index. APPLIED MATHEMATICS AND COMPUTATION. 277:142-153. 2016
- On the Hyperbolicity of Edge-Chordal and Path-Chordal Graphs. Filomat. 30:2599-2607. 2016
- Hyperbolicity in the corona and join of graphs. Aequationes Mathematicae. 89:1311-1327. 2015
- Planarity and Hyperbolicity in Graphs. GRAPHS AND COMBINATORICS. 31:1311-1324. 2015
- Gromov hyperbolic tessellation graphs. Utilitas Mathematica. 97:193-211. 2015
- On the Geometric-Arithmetic Index. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 74:103-120. 2015
- On the differential in graphs. Utilitas Mathematica. 97:257-270. 2015
- Spectral study of the Geometric-Arithmetic Index. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 74:121-135. 2015
- Mathematical Properties of the Hyperbolicity of Circulant Networks. Advances in Mathematical Physics. 2015
- Quasi-isometries and isoperimetric inequalities in planar domains. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. 67:127-157. 2015
- Computing the alliance polynomial of a graph. ArXiv.org. 1-16. 2014
- Computing the hyperbolicity constant of a cubic graph. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. 91:1897-1910. 2014
- Measurable diagonalization of positive definite matrices. JOURNAL OF APPROXIMATION THEORY. 185:91-97. 2014
- Characterization of Gromov hyperbolic short graphs. ACTA MATHEMATICA SINICA-ENGLISH SERIES. 30:197-212. 2014
- Gromov hyperbolicity of periodic planar graphs. ACTA MATHEMATICA SINICA-ENGLISH SERIES. 30:79-90. 2014
- The topology of balls in Riemannian surfaces and Gromov hyperbolicity. MATHEMATISCHE ZEITSCHRIFT. 275:741-760. 2013
- Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 407:369-386. 2013
- Gromov hyperbolicity of planar graphs. Central European Journal of Mathematics. 11:1817-1830. 2013
- Gromov hyperbolic graphs. DISCRETE MATHEMATICS. 313:1575-1585. 2013
- Gromov hyperbolicity in strong product graphs. ELECTRONIC JOURNAL OF COMBINATORICS. 20:1-22. 2013
- Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms. Journal of Function Spaces and Applications. 2013:1-11. 2013
- Gromov hyperbolic cubic graphs. Central European Journal of Mathematics. 10:1141-1151. 2012
- Structure theorem for Riemannian surfaces with arbitrary curvature. MATHEMATISCHE ZEITSCHRIFT. 271:45-62. 2012
- Gromov hyperbolicity of Denjoy domains through fundamental domains. PUBLICATIONES MATHEMATICAE DEBRECEN. 80:295-310. 2012
- Distortion of the hyperbolicity constant of a graph. ELECTRONIC JOURNAL OF COMBINATORICS. 19:1-18. 2012
- Bounds on Gromov hyperbolicity constant in graphs. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES. 122:53-65. 2012
- Location of the geodesics and isoperimetric inequalities in denjoy domains.. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. 55:245-269. 2012
- Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. 64:247-261. 2012
- Sobolev formal orthogonality on algebraic curves and extensions of Favard theorem. Jaen Journal on Approximation. 3:193-207. 2011
- Computing the hyperbolicity constant. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 62:4592-4595. 2011
- Hyperbolicity and complement of graphs. Applied Mathematics Letters. 24:1882-1887. 2011
- On the Hyperbolicity Constant of Line Graphs. ELECTRONIC JOURNAL OF COMBINATORICS. 18:1-18. 2011
- Hyperbolicity and parameters of graphs. Ars Combinatoria. 100:43-63. 2011
- A very simple characterization of Gromov hyperbolicity for a special kind of Denjoy domains. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. 48:565-583. 2011
- A Real Variable Characterization of Gromov Hyperbolicity of Flute Surfaces. OSAKA JOURNAL OF MATHEMATICS. 48:179-207. 2011
- Twists and Gromov Hyperbolicity of Riemann Surfaces. ACTA MATHEMATICA SINICA-ENGLISH SERIES. 27:29-44. 2011
- Zero Location and Asymptotic behavior for Extremal Polynomials with Non-Diagonal Sobolev Norms. JOURNAL OF APPROXIMATION THEORY. 162:2225-2242. 2010
- Gromov Hyperbolicity in Cartesian Product Graphs. JOURNAL OF CHEMICAL SCIENCES. 120:593-609. 2010
- The Multiplication Operator, Zero Location and Asymptotic for Non-Diagonal Sobolev Norms. ACTA APPLICANDAE MATHEMATICAE. 111:205-218. 2010
- Comparative Gromov Hyperbolicity Results for the Hyperbolic and Quasihyperbolic Metrics. Complex Variables and Elliptic Equations. 55:127-135. 2010
- Gromov Hyperbolic Equivalence of the Hyperbolic and Quasihyperbolic Metrics in Denjoy Domains. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. 42:282-294. 2010
- Computation of Conformal Representations of Compact Riemann Surfaces. MATHEMATICS OF COMPUTATION. 79:365-381. 2010
- Stability of Gromov Hyperbolicity. Journal of Advanced Mathematical Studies. 2:77-96. 2009
- Sobolev Spaces with Respect to Measures in Curves and Zeros of Sobolev Orthogonal Polynomials. ACTA APPLICANDAE MATHEMATICAE. 104:325-353. 2008
- A Simple Characterization of Weighted Sobolev Spaces with Bounded Multiplication Operator. JOURNAL OF APPROXIMATION THEORY. 153:53-72. 2008
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book chapters
- The harmonic index. In: Bounds in chemical graph theory. Basics. UNIVERSITY OF KRAGUJEVAC AND FACULTY OF SCIENCE KRAGUJEVAC. 229-281. 2017
- Alliance polynomial. In: Graph polynomials. CHAPMAN AND HALL/CRC. 177-206. 2016
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books
- Symmetry in Graph Theory. Basel, Switzerland: MDPI AG. 2019
- Curso práctico de variable compleja y teoría de transformadas. PEARSON EDUCACION, S.A.. 2014
- Teoría geométrica de funciones: el punto de encuentro entre la variable compleja y la geometría. CARACAS: EDICIONES DEL INSTITUTO VENEZOLANO DE INVESTIGACIONES CIENTÍFICAS. 2010
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conference contributions
- Jensen-type inequalities for m-convex functions and applications 2024
- Domination on hyperbolic graphs 2020
- Several extremal problems on graphs involving the circumference, girth, and hyperbolicity constant.. 177-194. 2019
- Stability of p-parabolicity under quasi-isometries. 33-33. 2019
- Mathematical properties on the hyperbolicity of interval graphs. 10-10. 2018
- Cheeger isoperimetric constant of Gromov hyperbolic manifolds and graphs. 32-32. 2017
- Extremal problems on graphs involving the hyperbolicity constant 2017
- Isoperimetric inequalities in hyperbolic manifolds 2017
- Measurable diagonalization of positive definite matrices 2017
- On the first general Zagreb index 2017
- Preservación de la función de Green en superficies de Riemann 2017
- Preservation of some isoperimetric inequalities under quasi-isometries 2017
- Stability of the injectivity radius under quasi-isometries and applications to isoperimetric inequalities 2017
- Asymptotics of extremal polynomials with respect to Sobolev norms. 2016
- Diameter, minimum degree and hyperbolicity constant in graphs. 186-189. 2016
- Markov-type inequalities and duality in weighted Sobolev spaces. 2016
- Muckenhoupt inequalities with three measures and applications to Sobolev orthogonal polynomials 2016
- On a classical Theorem on the diameter and minimum degree 2016
- On the Geometric-Arithmetic Index by decompositions 2016
- On the geometric-arithmetic index 2016
- Cotas para la Constante de Hiperbolicidad de Gromov 2015
- Cotas para la constante de Hiperbolicidad de Gromov 2015
- Desigualdades para la constante de hiperbolicidad de gráficas cúbicas. 2015
- Estabilidad de desigualdades isoperimétricas en superficies de Riemann 2015
- Geodésicas que escapan a infinito en superficies de curvatura negativa 2015
- Gromov hyperbolicity in Myecielskian graphs 2015
- Hiperbolicidad en el sentido de Gromov de grafos Mycielskianos 2015
- Minimum and maximum degree and hyperbolicity constant in graphs 2015
- On hyperbolicity in the Cartesian Sum of Graphs 2015
- On the Cartesian sum of graphs and hyperbolicity 2015
- Bounds on Gromov hyperbolicity constant 2014
- Bounds on the Hyperbolicity Constant. 137. 2014
- Characterization of the hyperbolicity in the lexicographic product. 97-104. 2014
- Desigualdades Isoperimétricas 2014
- Distinctive power of the alliance polynomial for regular graphs. 313-320. 2014
- Distortion of the hyperbolicity constant in minor graphs. 57-64. 2014
- Graphs with small hyperbolicity constant. 265-272. 2014
- Gromov Hyperbolicity in Mycielski Graphs: "Hiperbolicidad en el sentido de Gromov en grafos Mycielskianos" 2014
- Isoperimetric inequalities in graphs and surfaces. 257-264. 2014
- Lexicographic product graphs and hyperbolicity in the Gromov sense 2014
- Measurable diagonalization of positive de nite matrices and applications to non-diagonal Sobolev orthogonal polynomials 2014
- Quasi-isometries and isoperimetric inequalities in Riemann surfaces 2014
- Relations between the differential and parameters in graphs. 281-288. 2014
- Alliance polynomial of a graph 2013
- Characterization of some class of graphs by its alliance polynomial 2013
- Gromov hyperbolicity of generalized chordal graphs 2013
- Gromov hyperbolicity of periodic planar graphs 2013
- Hyperbolicity in the Gromov sense of the strong product of two graphs 2013
- Hyperbolicity in the Gromov sense of the strong product of two graphs 2013
- Hyperbolicity of line graphs with edges of arbitrary lengths 2013
- La topología de las bolas en superficies Riemannianas 2013
- Muckenhoupt inequality with three measures and applications to Sobolev Orthogonal Polynomials 2013
- On the hyperbolicity constant of extended chordal graphs 2013
- Quasi-isometries and isoperimetric inequalities in planar domains 2013
- Sobre la estructura geométrica de las superficies riemannianas 2013
- Structure theorem and escaping geodesic on Riemannian manifolds 2013
- Bounds on hyperbolicity constant of line graphs. 183-192. 2012
- Fronteras sobre Hiperbolicidad constante de gráficos 2012
- Gromov hyperbolicity of line graphs 2012
- Hiperbolicidad de Gromov de gráficos planos periódicos 2012
- On the Hyperbolicity Constant of Line Graphs 2012
- Escaping geodesics in Riemannian surfaces with variable negative curvature 2011
- Las geodésicas con curvatura negatva 2011
- The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms 2011
- The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms. 2011
- Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms 2011
- Uniformly Separated Sets in Riemann Surfaces, Gromov Hyperbolicity and the Topology of Balls 2009
- A Simple Characterization of Weighted Sobolev Spaces with Bounded Multiplication Operator 2008
- A Simple Characterization of Weighted Sobolev Spaces with Bounded Multiplication Operator 2008
- Approximation in Weighted Sobolev Spaces by Smooth Functions 2008
- Gromov Hyperbolicity of Poincaré and Quasihyperbolic Metrics 2008
- Location of Zeros of Sobolev Orthogonal Polynomials in Curves 2008
- On the Conformal Representation of Compact Riemann Surfaces 2008
- Polynomial Approximation in Sobolev Spaces with Arbitrary Weights 2008
- Soluciones aproximadas de ecuaciones diferenciales en dominios de Denjoy 2008
- Structure Theorem for Riemannian Surfaces and the Topology of Balls 2008