@article{20585,
  abstract     = {Motivated by applications in medical sciences, we study finite chromatic sets in Euclidean space from a topological perspective. Based on the persistent homology for images, kernels and cokernels, we design provably stable homological quantifiers that describe the geometric micro- and macro-structure of how the color classes mingle. These can be efficiently computed using chromatic variants of Delaunay and alpha complexes, and code that does these computations is provided.},
  author       = {Cultrera di Montesano, Sebastiano and Draganov, Ondrej and Edelsbrunner, Herbert and Saghafian, Morteza},
  issn         = {2639-8001},
  journal      = {Foundations of Data Science},
  keywords     = {Topological data analysis, Delaunay mosaic, alpha complex, chromatic sets, persistent homology, kernel/image/cokernel persistent homology, radius function, discrete Morse theory, exact sequences},
  pages        = {30--62},
  publisher    = {AIMS},
  title        = {{Chromatic alpha complexes}},
  doi          = {10.3934/fods.2025003},
  volume       = {8},
  year         = {2026},
}