2 papers
math.AT2026
Updating a Discrete Morse Vector Field for a Lower Star Filtration Vineyard
Kevin Woytowich, Nkechi Nnadi, Elizabeth Munch
In this paper, we provide a construction of an acyclic discrete vector field that is compatible with a total order associated with a lower star filtration on a simplicial complex,…
math.AT2025
Simplicial Hausdorff Distance for Topological Data Analysis
Nkechi Nnadi, Daniel Isaksen
Many practical applications in topological data analysis arise from data in the form of point clouds, which then yield simplicial complexes. The combinatorial structure of simplici…