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Computing Persistent Homology for large point clouds remains a bottleneck forthe wider adoption of persistent homology by the scientific community. Wepresent an algorithm which can compute the degree-1 Vietoris-Rips PersistentHomology of point clouds in low dimensional Euclidean Space for larger pointclouds.

Faster computation of degree-1 persistent homology using the reduced Vietoris-Rips filtration