Topological Data Analysis: Simplicial Complex


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Documentation for package ‘SimplicialComplex’ version 0.1.0

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abstract_simplicial_complex Compute Euler characteristic for an abstract simplicial complex
boundary Compute the boundary operator for a simplicial complex
boundary_info Get the boundary matrix and its reduction information in matrix form
build_vr_filtration Vietoris-Rips Filtration: Get the boundary matrix and its reduction information in matrix form
euler_characteristic Compute the Euler characteristic chi of a simplicial complex
extract_persistence_pairs This function extracts the persistence from combining the boundary matrix and its filtration
faces Generate all unique faces of a given dimension from simplices
plot_persistence Plot Persistence Diagram
VietorisRipsComplex Construct a Vietoris–Rips Complex (1-skeleton + maximal simplices)