Vietoris-Rips Complex as a Graph Complex

Explore the fundamental concepts of Topological Data Analysis through a 16-minute lecture that examines the Vietoris-Rips Complex and its relationship to graph complexes. Delve into the mathematical foundations and applications of various graph complexes, including Neighborhood Complexes, Clique Complexes, Independence Complexes, Cut Complexes, and Total Cut Complexes. Learn how these structures interconnect and contribute to the broader understanding of topological data analysis, presented by Pratiksha Chauhan from the Applied Algebraic Topology Network.