1. Any Graph is a Mapper Graph
- Author
-
Alvarado, Enrique G, Belton, Robin, Lee, Kang-Ju, Palande, Sourabh, Percival, Sarah, Purvine, Emilie, and Tymochko, Sarah
- Subjects
Mathematics - Algebraic Topology ,Computer Science - Computational Geometry - Abstract
The Mapper algorithm is a popular tool for visualization and data exploration in topological data analysis. We investigate an inverse problem for the Mapper algorithm: Given a dataset $X$ and a graph $G$, does there exist a set of Mapper parameters such that the output Mapper graph of $X$ is isomorphic to $G$? We provide constructions that affirmatively answer this question. Our results demonstrate that it is possible to engineer Mapper parameters to generate a desired graph., Comment: 13 pages, 4 figures
- Published
- 2024