About me

Welcome to my webpage!

I am Pilar and my Chihuahua's name is Ada.

I am currently a Postdoc in the Algorithms Research Group at Université Libre de Bruxelles in Belgium, hosted by John Iacono.

I finished my Ph.D at Universitat Politècnica de Catalunya and Carleton University, under the supervision of Prosenjit Bose and Rodrigo Silveira.

My main research interests are Graph Theory, Computational Geometry, Combinatorics and Algorithms.

Complete CV

(updated June 2021)

Publications

  • Dynamic Schnyder Woods, with S. Bhore, P. Bose, J. Cardinal, and J. Iacono, arXiv preprint arXiv:2106.14451
  • [arXiv]

  • Fragile Complexity of Adaptive Algorithms, with P. Bose, R. Fagerberg, J. Iacono, R. Jacob, and S. Langerman, in Proceedings of Algorithms and Complexity: 12th International Conference (CIAC), pp. 144-157, 2021. (Invited to special issue)
  • [Link] [arXiv]

  • Upward Point Set Embeddings of Paths and Trees, with E. Arseneva, L. Kleist, T. Mchedlidze, S. Mehrabi, I. Parada, and P. Valtr, in Proceedings of the 15th International conference and Workshops on Algorithms and Computation (WALCOM), pp. 234--246, 2021.
  • [Link] [arXiv]

  • Flips in higher order Delaunay triangulations, with E. Arseneva, P. Bose and R. I. Silveira, in Proceedings of the 14th Latin American Theoretical Informatics Symposium (LATIN), pp. 223-234, 2020. Springer, Cham.
  • [Link] [Extended abstract]

  • Some results on the existence of Hamiltonian cycles in P-compositions of bipartite digraphs, with H. Galeana-Sánchez and I. Goldfeder, AKCE International Journal of Graphs and Combinatorics, 1-7, 2020.
  • [Link]

  • Hamiltonicity for convex shape Delaunay and Gabriel graphs, with P. Bose, M. Saumell and R. Silveira, Computational Geometry: Theory and Applications, 89:101629. (Special Issue from WADS19)
  • [Link] [Conference version] [Extended abstract]

  • Compatible Paths on Labelled Point Sets, with Y. Bahoo, A. Biniaz, F. Chanchary, J. Iacono, K. Jain, E. Khramtcova(now Arseneva), A. Lubiw, D. Mondal, K. Sheikhan and C. D. Toth, arXiv preprint arXiv:2004.07996.
  • [arXiv] [Conference version]

  • Pole Dancing: 3D Morphs for Tree Drawings, with E. Arseneva (before Kramtcova), P. Bose, A. D'Angelo, V. Dujmovic, F. Frati, S. Langerman, and A. Tappini, Journal of Graph Algorithms and Applications, 23, 579–602, 2019. (Special Issue from GD18)
  • [Link] [arXiv]

  • Affine invariant triangulations, with P. Bose and R. I. Silveira, in Proceedings of the 31st Canadian Conference in Computational Geometry (CCCG), 250–256, 2019.
  • [Link]

  • On the number of crossings in a random labelled tree with vertices in convex position, with O. Arizmendi and C. Huemer, arXiv preprint arXiv:1902.05223.
  • [arXiv]

  • Sequence of spanning trees for L∞-Delaunay triangulations, with P. Bose and R. I. Silveira, Abstracts 34th European Workshop on Computational Geometry (EuroCG), 2018.
  • [Link]

  • Rainbow spanning subgraphs in bounded edge-colourings of graphs with large minimum degree, with G. Perarnau and O. Serra, Electronic Notes in Discrete Mathematics, 61, 199–205, 2017.
  • [Link]

  • Rainbow perfect matchings in r-partite graph structures, with G. Perarnau and O. Serra, Electronic Notes in Discrete Mathematics, 54, 193–198, 2016.
  • [Link]

  • Rainbow matchings in hypergraphs, supervised by O. Serra, master thesis.
  • [Link]

Talks

  • Fragile Complexity of Adaptive Algorithms, CIAC, May 2021
  • Flips in higher order Delaunay triangulations, LATIN, January 2021
  • Flips in higher order Delaunay triangulations (video-talk), EuroCG, March 2020
  • Affine invariant triangulations, CCCG, August 2019
  • Hamiltonicity for convex shape Delaunay and Gabriel graphs, WADS, August 2019
  • Affine invariant triangulations, XIII EGC, July 2019
  • Hamiltonicity for convex shape Delaunay and Gabriel graphs, EuroCG, March 2019
  • Pole Dancing: 3D Morphs for Tree Drawings, with Elena Arseneva (Kramtcova), GD18, September 2018
  • Sequence of spanning trees for L∞-Delaunay triangulations, EuroCG, March 2018
  • Rainbow perfect matchings in r-partite graph structures, Discrete Mathematics Days Barcelona, July 2016

Research groups

Algorithms Research Group
Research group on Discrete, Combinatorial and Computational Geometry
Computational Geometry Lab