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

Barcode Embeddings for Metric Graphs

Steve Oudot
  • Function : Author
  • PersonId : 845393
Elchanan Solomon
  • Function : Author
  • PersonId : 1028232


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)



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



Gmail Facebook X LinkedIn More