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Extremal Betti Numbers of Vietoris-Rips Complexes

Discrete and Computational Geometry (2011) 46(1) 132-155
DOI: 10.1007/s00454-010-9274-z
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Abstract

Upper bounds on the Betti numbers over an arbitrary field of Vietoris-Rips complexes are established, and examples of such complexes with large Betti numbers are given. © 2010 Springer Science+Business Media, LLC.

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Goff, M. (2011). Extremal Betti Numbers of Vietoris-Rips Complexes. Discrete and Computational Geometry, 46(1), 132–155. https://doi.org/10.1007/s00454-010-9274-z

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