Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs

DOI10.4230/LIPIcs.SOCG.2015.461zbMath1382.58010arXiv1412.6646MaRDI QIDQ5368706

Elizabeth Munch, Yusu Wang, Ulrich Bauer

Publication date: 10 October 2017

Full work available at URL: https://arxiv.org/abs/1412.6646

zbMATH Keywords

Reeb graphinterleaving distancefunctional distortion distance

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Relations of low-dimensional topology with graph theory (57M15)

Related Items (11)

Structure and stability of the one-dimensional Mapper ⋮ Categorified Reeb graphs ⋮ Multivariate topology simplification ⋮ Tree decomposition of Reeb graphs, parametrized complexity, and applications to phylogenetics ⋮ Quantitative simplification of filtered simplicial complexes ⋮ Statistical Analysis and Parameter Selection for Mapper ⋮ On the stability of interval decomposable persistence modules ⋮ The Reeb graph edit distance is universal ⋮ Generalized persistence diagrams for persistence modules over posets ⋮ Persistence barcodes and Laplace eigenfunctions on surfaces ⋮ The edit distance for Reeb graphs of surfaces

This page was built for publication: Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs