A distilled Vietoris-Rips filtration is shown to have persistent homology isomorphic to the standard Vietoris-Rips filtration, enabling a memory-efficient parallel degree-1 algorithm.
Swap, Shift and Trim to Edge Collapse a Filtration,
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The distilled Vietoris Rips filtration for persistent homology and a new memory efficient algorithm
A distilled Vietoris-Rips filtration is shown to have persistent homology isomorphic to the standard Vietoris-Rips filtration, enabling a memory-efficient parallel degree-1 algorithm.