Denis E. Videla

Published or accepted articles

1. 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

2.  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

3.  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

4. 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 

5.  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 

6. 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 

7. 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

8.  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 

9. 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

10.  Using digraphs to compute determinant, permanent and Drazin (group) inverse of circulant matrices with two parameters. Revista de la Unión Matemática Argentina (with Andres M. Encinas, Cristian Panelo, Daniel A. Jaume) 2022.  In press (arXiv:2008.04769) https://doi.org/10.33044/revuma.2815

11.   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

12. Spectral properties of generalized Paley graphs of (q^{l}+1)-th powers and applications.  Discrete Mathematics, Algorithms and Applications.  Accepted (2023)  (with Ricardo A. Podestá) (arXiv:1812.03332). 

13.  Number of cliques of Paley-type graphs over finite commutative local rings. Discussiones Mathematicae Graph Theory. In press (2024) https://doi.org/10.7151/dmgt.2538  (with Andrea L. Gallo) (arXiv:2303.04312)