Publications

ARTICLES IN REFEREED JOURNALS

• "Singularly cospectral circulant graphs" (with C. Conde, L.N. Grippo, M. Privitelli). Submitted for publication.

• "On the rank of the distance matrix of graphs" (with L.N. Grippo, V. Moyano, A. Pastine). Applied Mathematics and Computation 433 (2022).

• "Finding singularly cospectral graphs" (with C. Conde, L.N. Grippo). Linear and Multilinear Algebra (2022).

• "Improved bounds for the inverses of diagonally dominant tridiagonal matrices II. Application to boundary-value problems for ODEs" (with G. Matera, G. Monzón). Submitted for publication.

• "On the spectral radius of block graphs having all their blocks of the same size" (with C. Conde, L.N. Grippo).  Linear Algebra and its Applications. vol. 634, 2022, pp. 137-148.

• "The determinant of the distance matrix of graphs with blocks at most bicyclic" (with L.N. Grippo, M.D. Safe, C.M. da Silva Jr., R.R. Del-Vecchio).  Linear Algebra and its Applications. vol. 614, 2021, pp. 437-454.

• "On the spectral radius of block graphs with prescribed independence number $\alpha$" (with C. Conde, L.N. Grippo). Linear Algebra and its Applications. vol. 614, 2021, pp. 111-124. 

• "Partial characterization of graphs having a single large Laplacian eigenvalue" (with L.E. Allem, A. Cafure, L.N. Grippo, M.D. Safe, V. trevisan). The Electronic Journal of Combinatorics, vol. 25(4), 2018, #P4.65.

• "Improved bounds for the inverses of diagonally dominant tridiagonal matrices" (with G. Matera). Linear Algebra and its Applications,  vol. 551, 2018, pp. 57-82. 

• "Newton's method and a mesh independence principle for certain semilinear boundary value problems" (with G. Matera). Journal of Computational and Applied Mathematics, vol. 292, 2016, pp. 188-212.

• "Efficient approximation of the solution of certain nonlinear reaction-diffusion equation with large absorption". Journal of Computational and Applied Mathematics, vol. 238, 2013, pp. 180-202.

• "Efficient approximation of the solution of certain nonlinear reaction-diffusion equation with small absorption". Journal of Complexity, vol. 29(3-4), 2013, pp. 263-282.

• "Approximation of the solution of certain nonlinear ODEs with linear complexity". Journal of Computational and Applied Mathematics , vol. 233(9), 2010, pp. 2339-2350.

• "On the solution of the polynomial systems arising in the discretization of certain ODEs" (with G. Matera). Computing, vol. 85(4), 2009, pp. 301-337.

• “Robust algorithms for generalized Pham systems” (with G. Matera and A. Waissbein). Computational Complexity, vol. 18(1), 2009, pp. 105-154.

• "Numeric vs. symbolic homotopy algorithms in polynomial system solving: A case study” (with M. De Leo and G. Matera). Journal of Complexity, vol. 21(4), 2005, pp. 502-531.

• "On the numerical solution of certain nonlinear systems arising in semilinear parabolic PDEs" (with M. De Leo and G. Matera). Anales JAIIO, vol. 33, 2004.

• "Deformation techniques for counting the real solutions of specific polynomial equation systems" (with G. Matera). Anales JAIIO, vol. 31, 2002, pp. 42-52.

CHAPTERS IN BOOKS

• "Discrete vs. continuous stationary solutions for semilinear parabolic equations" (with G. Matera). In J. Busch et al. (editors): "Libro de resúmenes del Congreso Internacional de Matemática aplicada a la Ingeniería y Enseñanza de la Matemática: IV Congreso In-Mat 2008", 2008, 6 pages. ISBN: 978-950-29-1077-2.

Ph.D. THESIS

• "Resolución eficiente de ciertos sistemas no lineales derivados de ecuaciones diferenciales". Director: G. Matera. Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Argentina. August 2010.

MASTER THESIS

• “Conteo y aproximación de las soluciones reales de ciertos sistemas de ecuaciones polinomiales”. Director: G. Matera. FCEyN, Universidad de Buenos Aires, Argentina. May 2003.