Barcode Embeddings for Metric Graphs - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles Algebraic and Geometric Topology Year : 2021

Barcode Embeddings for Metric Graphs

Steve Oudot
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Elchanan Solomon
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Abstract

Stable topological invariants are a cornerstone of persistence theory and applied topology, but their discriminative properties are often poorly-understood. In this paper we investigate the injectivity of a rich homology-based invariant first defined in \cite{dey2015comparing} which we think of as embedding a metric graph in the barcode space.

Dates and versions

hal-01708780 , version 1 (14-02-2018)

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Steve Oudot, Elchanan Solomon. Barcode Embeddings for Metric Graphs. Algebraic and Geometric Topology, 2021, ⟨10.2140/agt.2021.21.1209⟩. ⟨hal-01708780⟩
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