Ralihe R. Villagrán

Ralihe R. Villagrán

Postdoctoral Scholar (Mathematical Sciences Department)

Publications

You can also find my articles on my Google Scholar profile and all preprint versions on arXiv.

Journal publications

Distance ideals of digraphs

Published in Applied Mathematics and Computation, 2025

Joint work with: Carlos A. Alfaro, Teresa I. Hoekstra-Mendoza and Juan Pablo Serrano

Recommended citation: Carlos A. Alfaro, Teresa I. Hoekstra-Mendoza, Juan Pablo Serrano and Ralihe R. Villagrán. "Distance ideals of digraphs." Applied Mathematics and Computation. 500, (2025), 129430. https://doi.org/10.1016/j.amc.2025.129430

Evolutive sandpiles

Published in Physica A: Statistical Mechanics and its Applications, 2025

Joint work with: Carlos A. Alfaro, Juan Pablo Serrano and Ralihe R. Villagrán

Recommended citation: Carlos A. Alfaro, Juan Pablo Serrano and Ralihe R. Villagrán. "Evolutive sandpiles." Physica A: Statistical Mechanics and its Applications. 657, (2025), 130248. https://doi.org/10.1016/j.physa.2024.130248

The Strong Spectral Property of Graphs: Graph Operations and Barbell Partitions

Published in Graphs and Combinatorics, 2024

Joint work with: S. Allred, E. Curl, S. Fallat, S. Nasserasr, H. Schuerger and P. K. Vishwakarma

Recommended citation: S. Allred, E. Curl, S. Fallat, S. Nasserasr, H. Schuerger, R. R. Villagrán and P. K. Vishwakarma. "The Strong Spectral Property of Graphs: Graph Operations and Barbell Partitions." Graphs and Combinatorics. 40, 20 (2024). https://doi.org/10.1007/s00373-023-02745-6

Hadamard Diagonalizable Graphs of Order at Most 36

Published in The Electronic Journal of Combinatorics, 2022

Joint work with: Jane Breen, Steve Butler, Melissa Fuentes, Bernard Lidický, Michael Phillips, Alexander W. N. Riasanovsky, Sung-Yell Song, Cedar Wiseman and Xiaohong Zhang

Recommended citation: Jane Breen, Steve Butler, Melissa Fuentes, Bernard Lidický, Michael Phillips, Alexander W. N. Riasanovsky, Sung-Yell Song, Ralihe R. Villagrán, Cedar Wiseman and Xiaohong Zhang. "Hadamard Diagonalizable Graphs of Order at Most 36." The Electronic Journal of Combinatorics. 29(2), P2.16 (2022). https://doi.org/10.37236/9725

Refereed conference and Book chapters

Graphs with two trivial distance ideals over the polynomial ring with integer coefficients

Published in International Symposium on Symbolic and Algebraic Computation (2025) (ISSAC 2025), 2025

Joint work with: C. A. Alfaro, T. I. Hoekstra-Mendoza and J. P. Serrano

Recommended citation: C. A. Alfaro, T. I. Hoekstra-Mendoza, J. P. Serranoc and Ralihe R. Villagrán. (2025) "Graphs with two trivial distance ideals over the polynomial ring with integer coefficients." in International Symposium on Symbolic and Algebraic Computation (2025) (ISSAC 2025)., ACM, New York, NY, USA. https://doi.org/10.1145/3747199.3747577

Determinantal ideals of graphs

Published in Handbook of Visual, Experimental and Computational Mathematics, 2025

Joint work with: C. A. Alfaro and J. P. Serrano

Recommended citation: Carlos A. Alfaro, Juan P. Serrano and Ralihe R. Villagrán. (2025) "Determinantal ideals of graphs." Handbook of Visual, Experimental and Computational Mathematics, Springer, Cham, (2025) https://doi.org/10.1007/978-3-030-83823-2_91

The Characterization of Graphs Whose Sandpile Group has Fixed Number of Generators

Published in Extended Abstracts EuroComb 2021. Trends in Mathematics, 2021

Joint work with: C. A. Alfaro, M. D. Barrus and J. Sinkovic

Recommended citation: Carlos A. Alfaro, Michael D. Barrus, John Sinkovic and Ralihe R. Villagrán. (2021) "The Characterization of Graphs Whose Sandpile Group has Fixed Number of Generators" Extended Abstracts EuroComb 2021. Trends in Mathematics, vol 14. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-83823-2_91

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