Abstract: Persistent homology is a field of mathematics which seeks to understand the shape of space by keeping track of topological features over a filtration. Vietoris-Rips persistent homology is a frequently utilised type of persistent homology due to the ability to apply it to a wide variety of spaces. However, the large number of simplices used in the Vietoris-Rips filtration makes it difficult to apply it to the large datasets commonly seen in the greater scientific community. In this talk I will present a way to reduce the number of simplices used for computing Vietoris-Rips persistent homology. It will then be shown how one can further reduce the number of simplices used to compute Vietoris-Rips persistent homology.