Topological Data Analysis: Simplicial Complex

Documentation for package ‘SimplicialComplex’ version 0.1.1

abstract_simplicial_complex	Compute Euler characteristic for an abstract simplicial complex
as_filtration	Convert a flood_complex object to a filtration list
boundary	Compute the boundary operator for a simplicial complex
boundary_info	Get the boundary matrix and its reduction information in matrix form
build_flood_filtration	Flood filtration in SimplicialComplex format
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
flood_complex	Construct a Flood complex
flood_persistence	Persistence pairs via sparse boundary reduction
generate_landmarks	Farthest-Point Sampling of landmarks
persistence_pairs	Persistence pairs via sparse boundary reduction (for large filtrations)
plot_persistence	Plot Persistence Diagram
VietorisRipsComplex	Construct a Vietoris–Rips Complex (1-skeleton + maximal simplices)