Any Graph is a Mapper Graph
Published in ArXiv preprint [cs.CG]
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.Cite as: Enrique Alvarado, Robin Belton, Kang-Ju Lee, et al. "Any Graph is a Mapper Graph." ArXiv preprint [cs.CG], 2024.
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