Institute of Geometry

Ángel Javier Alonso

• Delaunay Bifiltrations of Functions on Point Clouds (arXiv),
  with Michael Kerber, Tung Lam and Michael Lesnick.
  To appear in the proceedings of the ACM-SIAM Symposium on Discrete Algorithms (SODA24).
• Decomposition of Zero-dimensional Persistence Modules via Rooted Subsets (arXiv),
  with Michael Kerber.
  Proceedings of the 39th Symposium on Computational Geometry (SoCG 2023).
• Filtration-Domination in Bifiltered Graphs (arXiv),
  with Michael Kerber and Siddharth Pritam.
  2023 Proceedings of the Symposium on Algorithm Engineering and Experiments (ALENEX), 27-38.

• filtration-domination includes algorithms to simplify bifiltered graphs while preserving the multiparameter persistent homology of their clique complexes.