Denis E. Videla

Profesor Adjunto (equivalent to Assistant Proffesor) DS, FaMAF, Univesidad Nacional de Córdoba, Córdoba, Argentina
Investigador Asistente, CIEM - CONICET.
Email: devidela@famaf.unc.edu.ar, denisv458@gmail.com

Research interests

Algebraic combinatorics (Spectra of graphs, energies and Cayley graphs)
Coding theory (Spectra of codes and AG-codes)
Finite Fields (Diagonal equations, Waring problem and exponential sums)
Number theory (Additive number theory)
Other interests: Algebraic topology, algebraic geometry , analitic number theory.

Published or accepted articles

Integral equienergetic non-isospectral unitary Cayley graphs. Linear Algebra and its Applications 612(4) , pages 42--74 (2021). (with Ricardo Podestá) http://dx.doi.org/10.1016/j.laa.2020.12.001
The Waring's problem over finite fields through generalized Paley graphs. Discrete Mathematics 344(5), n° 112324 (2021). (with Ricardo Podestá) http://dx.doi.org/10.1016/j.disc.2021.112324
Weight distribution of cyclic codes defined by quadratic forms and related curves. Revista de la Unión Matemática Argentina 62(1), pages 219--242 (2021). (with Ricardo Podestá) http://dx.doi.org/10.33044/revuma.1840
On diagonal equations over finite fields via walks in NEPS of graphs. Finite Fields and their Applications 75, n° 101882 (2021). http://dx.doi.org/10.1016/j.ffa.2021.101882
A reduction formula for Waring numbers over finite fields through generalized Paley graphs. Journal of Algebraic Combinatorics 56(4), pages 1255--1285 (2022)(with Ricardo A. Podestá) https://doi.org/10.1007/s10801-022-01154-x
The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs. Advances in Mathematics of Communications 17(2), pages 446-464 (2023) (with Ricardo Podestá) http://dx.doi.org/10.3934/amc.2021002
On regular graphs equienergetic with their complements. Linear and Multilinear Algebra 71(3) pages 422-456 (2023) (with Ricardo Podestá) https://doi.org/10.1080/03081087.2022.2033152
Waring numbers over finite commutative local rings. Discrete Mathematics 346(10) n° 113567 (2023) (with Ricardo A. Podestá) https://doi.org/10.1016/j.disc.2023.113567
Generalized Paley graphs equienergetic with their complements. Linear and Multilinear Algebra 72(3) pages 488-515 (2024) (with Ricardo A. Podestá) https://doi.org/10.1080/03081087.2022.2159918
Using digraphs to compute determinant, permanent and Drazin (group) inverse of circulant matrices with two parameters. Revista de la Unión Matemática Argentina 67(1) pages 81-106 (2024) (with Andres M. Encinas, Cristian Panelo, and Daniel A. Jaume). https://doi.org/10.33044/revuma.2815
Combinatorial formulas for determinant, permanent, and inverse of some circulant matrices with three parameters. Revista de la Unión Matemática Argentina (with Andres. M Encinas, Cristian Panelo) In press (2023) https://doi.org/10.33044/revuma.3886
Spectral properties of generalized Paley graphs of (q^{l}+1)-th powers and applications. Discrete Mathematics, Algorithms and Applications. 17(4) n° 2450056 (2025) (with Ricardo A. Podestá) https://doi.org/10.1142/S1793830924500563
Number of cliques of Paley-type graphs over finite commutative local rings. Discussiones Mathematicae Graph Theory 45(2) 431-449 (2025) (with Andrea L. Gallo) https://doi.org/10.7151/dmgt.2538
Spectral properties of generalized Paley graphs. Australasian Journal of Combinatorics. 91(3) pages 326-365 (2025) (with Ricardo A. Podestá) https://ajc.maths.uq.edu.au/pdf/91/ajc_v91_p326.pdf
Connected components and non-bipartiteness of generalized Paley graphs. Annals of Combinatorics. In press (2025) (with Ricardo A. Podestá) https://doi.org/10.1007/s00026-025-00758-x

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