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Barcodes of Towers and a Streaming Algorithm for Persistent Homology

A tower is a sequence of simplicial complexes connected by simplicial maps. We show how to compute a filtration, a sequence of nested simplicial complexes, with the same persistent barcode as the tower. Our approach is based on the coning strategy by Dey et al. (SoCG, 2014). We show that a variant o...

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Detalhes bibliográficos
Publicado no:Discrete Comput Geom
Main Authors: Kerber, Michael, Schreiber, Hannah
Formato: Artigo
Idioma:Inglês
Publicado em: Springer US 2018
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC6486534/
https://ncbi.nlm.nih.gov/pubmed/31105367
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s00454-018-0030-0
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