Index

A

add_cell() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) add_cells_from() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) add_edge() (toponetx.classes.cell_complex.CellComplex method) add_edges_from() (toponetx.classes.cell_complex.CellComplex method) add_elements_from_nx_graph() (toponetx.classes.simplicial_complex.SimplicialComplex method) add_node() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) (toponetx.classes.complex.Complex method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method)

add_path() (toponetx.classes.path_complex.PathComplex method) add_paths_from() (toponetx.classes.path_complex.PathComplex method) add_simplex() (toponetx.classes.simplicial_complex.SimplicialComplex method) add_simplices_from() (toponetx.classes.simplicial_complex.SimplicialComplex method) adjacency_matrix() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) (toponetx.classes.complex.Complex method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method) all_cell_to_node_coadjacency_matrix() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) all_ranks_incidence_matrix() (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) allranks (toponetx.classes.reportviews.ColoredHyperEdgeView property) (toponetx.classes.reportviews.HyperEdgeView property) Atom (class in toponetx.classes.complex)

B

boundary (toponetx.classes.cell.Cell property) (toponetx.classes.path.Path property) (toponetx.classes.simplex.Simplex property)

C

Cell (class in toponetx.classes.cell) cell_complex_adjacency_spectrum() (in module toponetx.algorithms.spectrum) cell_complex_hodge_laplacian_spectrum() (in module toponetx.algorithms.spectrum) cell_diameter() (in module toponetx.algorithms.distance_measures) cell_diameters() (in module toponetx.algorithms.distance_measures) cell_distance() (in module toponetx.algorithms.distance) cell_neighbors() (toponetx.classes.cell_complex.CellComplex method) CellComplex (class in toponetx.classes.cell_complex) cells (toponetx.classes.cell_complex.CellComplex property) (toponetx.classes.colored_hypergraph.ColoredHyperGraph property) (toponetx.classes.combinatorial_complex.CombinatorialComplex property) CellView (class in toponetx.classes.reportviews) clear() (toponetx.classes.cell_complex.CellComplex method) clone() (toponetx.classes.cell.Cell method) (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) (toponetx.classes.complex.Complex method) (toponetx.classes.path.Path method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplex.Simplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method)

coadjacency_matrix() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) (toponetx.classes.complex.Complex method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method) coauthorship() (in module toponetx.datasets.graph) coincidence_matrix() (toponetx.classes.simplicial_complex.SimplicialComplex method) ColoredHyperEdgeView (class in toponetx.classes.reportviews) ColoredHyperGraph (class in toponetx.classes.colored_hypergraph) combinatorial_complex_adjacency_spectrum() (in module toponetx.algorithms.spectrum) CombinatorialComplex (class in toponetx.classes.combinatorial_complex) Complex (class in toponetx.classes.complex) compute_allowed_paths() (toponetx.classes.path_complex.PathComplex static method) connected_component_subcomplexes() (in module toponetx.algorithms.components) connected_components() (in module toponetx.algorithms.components) construct_path_boundaries() (toponetx.classes.path.Path static method) construct_simplex_tree() (toponetx.classes.simplex.Simplex static method) coseg() (in module toponetx.datasets.mesh)

D

degree() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) degree_matrix() (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) diameter() (in module toponetx.algorithms.distance_measures) dim (toponetx.classes.cell_complex.CellComplex property) (toponetx.classes.colored_hypergraph.ColoredHyperGraph property) (toponetx.classes.complex.Complex property) (toponetx.classes.path_complex.PathComplex property) (toponetx.classes.simplicial_complex.SimplicialComplex property)

dirac_operator_matrix() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method) distance() (in module toponetx.algorithms.distance) down_laplacian_matrix() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method)

E

edges (toponetx.classes.cell_complex.CellComplex property) (toponetx.classes.path_complex.PathComplex property)

euler_characterisitics() (toponetx.classes.cell_complex.CellComplex method)

F

faces (toponetx.classes.simplex.Simplex property) from_gudhi() (toponetx.classes.simplicial_complex.SimplicialComplex class method) from_networkx_graph() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method)

from_nx() (toponetx.classes.simplicial_complex.SimplicialComplex class method) from_spharpy() (toponetx.classes.simplicial_complex.SimplicialComplex class method) from_trimesh() (toponetx.classes.cell_complex.CellComplex class method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph class method) (toponetx.classes.simplicial_complex.SimplicialComplex class method)

G

generate_atomlist() (in module toponetx.readwrite.atomlist) get_adjacency_structure_dict() (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) get_all_maximal_simplices() (toponetx.classes.simplicial_complex.SimplicialComplex method) get_boundaries() (toponetx.classes.simplicial_complex.SimplicialComplex static method) get_cell_attributes() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) get_cell_data() (toponetx.classes.cell_complex.CellComplex method) get_cofaces() (toponetx.classes.simplicial_complex.SimplicialComplex method) get_edge_attributes() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.path_complex.PathComplex method) get_edges_from_matrix() (toponetx.classes.simplicial_complex.SimplicialComplex static method) get_filtration() (toponetx.classes.cell_complex.CellComplex method) get_incidence_structure_dict() (toponetx.classes.colored_hypergraph.ColoredHyperGraph method)

get_linegraph() (toponetx.classes.cell_complex.CellComplex method) get_maximal_simplices_of_simplex() (toponetx.classes.simplicial_complex.SimplicialComplex method) get_node_attributes() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method) get_path_attributes() (toponetx.classes.path_complex.PathComplex method) get_rank() (toponetx.classes.reportviews.ColoredHyperEdgeView method) (toponetx.classes.reportviews.HyperEdgeView method) get_simplex_attributes() (toponetx.classes.simplicial_complex.SimplicialComplex method) get_star() (toponetx.classes.simplicial_complex.SimplicialComplex method) graph_skeleton() (toponetx.classes.simplicial_complex.SimplicialComplex method) graph_to_clique_complex() (in module toponetx.transform.graph_to_simplicial_complex) graph_to_neighbor_complex() (in module toponetx.transform.graph_to_simplicial_complex)

H

hodge_laplacian_eigenvectors() (in module toponetx.algorithms.spectrum) hodge_laplacian_matrix() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method)

homology_cycle_cell_complex() (in module toponetx.transform.graph_to_cell_complex) HyperEdge (class in toponetx.classes.hyperedge) HyperEdgeView (class in toponetx.classes.reportviews)

I

incidence_dict (toponetx.classes.colored_hypergraph.ColoredHyperGraph property) incidence_matrix() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) (toponetx.classes.complex.Complex method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method) is_connected() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method)

is_homotopic_to() (toponetx.classes.cell.Cell method) is_insertable_cycle() (toponetx.classes.cell_complex.CellComplex method) is_maximal() (toponetx.classes.simplicial_complex.SimplicialComplex method) is_regular (toponetx.classes.cell.Cell property) (toponetx.classes.cell_complex.CellComplex property) is_triangular_mesh() (toponetx.classes.simplicial_complex.SimplicialComplex method) is_valid_cell() (toponetx.classes.cell.Cell static method)

K

karate_club() (in module toponetx.datasets.graph)

L

laplace_beltrami_operator() (toponetx.classes.simplicial_complex.SimplicialComplex method) laplacian_beltrami_eigenvectors() (in module toponetx.algorithms.spectrum) laplacian_matrix() (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) laplacian_spectrum() (in module toponetx.algorithms.spectrum) linial_meshulam_complex() (in module toponetx.generators.random_simplicial_complexes)

load_from_atomlist() (in module toponetx.readwrite.atomlist) load_from_pickle() (in module toponetx.readwrite.serialization) load_mesh() (toponetx.classes.cell_complex.CellComplex class method) (toponetx.classes.simplicial_complex.SimplicialComplex class method) load_ppi() (in module toponetx.datasets.utils)

M

maxdim (toponetx.classes.cell_complex.CellComplex property) (toponetx.classes.simplicial_complex.SimplicialComplex property) module toponetx.algorithms.components toponetx.algorithms.distance toponetx.algorithms.distance_measures toponetx.algorithms.spectrum toponetx.classes.cell toponetx.classes.cell_complex toponetx.classes.colored_hypergraph toponetx.classes.combinatorial_complex toponetx.classes.complex toponetx.classes.hyperedge toponetx.classes.path toponetx.classes.path_complex toponetx.classes.reportviews toponetx.classes.simplex toponetx.classes.simplicial_complex toponetx.datasets.graph toponetx.datasets.mesh toponetx.datasets.utils toponetx.generators.random_cell_complexes toponetx.generators.random_simplicial_complexes toponetx.readwrite.atomlist toponetx.readwrite.serialization toponetx.transform.graph_to_cell_complex toponetx.transform.graph_to_simplicial_complex

multiparameter_linial_meshulam_complex() (in module toponetx.generators.random_simplicial_complexes)

N

neighbors() (toponetx.classes.cell_complex.CellComplex method) new_hyperedge_key() (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) node_diameters() (in module toponetx.algorithms.distance_measures) node_to_all_cell_adjacnecy_matrix() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) node_to_all_cell_incidence_matrix() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) nodes (toponetx.classes.cell_complex.CellComplex property) (toponetx.classes.colored_hypergraph.ColoredHyperGraph property) (toponetx.classes.combinatorial_complex.CombinatorialComplex property) (toponetx.classes.complex.Complex property) (toponetx.classes.path_complex.PathComplex property) (toponetx.classes.simplicial_complex.SimplicialComplex property)

NodeView (class in toponetx.classes.reportviews) normalized_laplacian_matrix() (toponetx.classes.simplicial_complex.SimplicialComplex method) np_cell_complex() (in module toponetx.generators.random_cell_complexes) number_of_cells() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) number_of_edges() (toponetx.classes.cell_complex.CellComplex method) number_of_nodes() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method)

O

order() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method)

P

parse_atomlist() (in module toponetx.readwrite.atomlist) Path (class in toponetx.classes.path)

PathComplex (class in toponetx.classes.path_complex) paths (toponetx.classes.path_complex.PathComplex property) PathView (class in toponetx.classes.reportviews)

R

random_clique_complex() (in module toponetx.generators.random_simplicial_complexes) rank (toponetx.classes.hyperedge.HyperEdge property) ranks (toponetx.classes.colored_hypergraph.ColoredHyperGraph property) raw() (toponetx.classes.reportviews.CellView method) remove_cell() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) remove_cells() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) remove_equivalent_cells() (toponetx.classes.cell_complex.CellComplex method) remove_maximal_simplex() (toponetx.classes.simplicial_complex.SimplicialComplex method) remove_node() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) remove_nodes() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) (toponetx.classes.complex.Complex method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method)

remove_singletons() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) restrict_to_cells() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) restrict_to_nodes() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method) restrict_to_paths() (toponetx.classes.path_complex.PathComplex method) restrict_to_simplices() (toponetx.classes.simplicial_complex.SimplicialComplex method) reverse() (toponetx.classes.cell.Cell method)

S

s_component_subcomplexes() (in module toponetx.algorithms.components) s_connected_components() (in module toponetx.algorithms.components) set_cell_attributes() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) set_cell_data() (toponetx.classes.cell_complex.CellComplex method) set_edge_attributes() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.path_complex.PathComplex method) set_filtration() (toponetx.classes.cell_complex.CellComplex method) set_hodge_laplacian_eigenvector_attrs() (in module toponetx.algorithms.spectrum) set_node_attributes() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.path_complex.PathComplex method) set_path_attributes() (toponetx.classes.path_complex.PathComplex method) set_simplex_attributes() (toponetx.classes.simplicial_complex.SimplicialComplex method) shape (toponetx.classes.cell_complex.CellComplex property) (toponetx.classes.colored_hypergraph.ColoredHyperGraph property) (toponetx.classes.combinatorial_complex.CombinatorialComplex property) (toponetx.classes.complex.Complex property) (toponetx.classes.path_complex.PathComplex property) (toponetx.classes.reportviews.ColoredHyperEdgeView property) (toponetx.classes.reportviews.HyperEdgeView property) (toponetx.classes.reportviews.SimplexView property) (toponetx.classes.simplicial_complex.SimplicialComplex property)

shrec_16() (in module toponetx.datasets.mesh) sign() (toponetx.classes.cell.Cell method) (toponetx.classes.simplex.Simplex method) Simplex (class in toponetx.classes.simplex) SimplexView (class in toponetx.classes.reportviews) simplices (toponetx.classes.simplicial_complex.SimplicialComplex property) simplicial_closure_of_hypergraph() (toponetx.classes.simplicial_complex.SimplicialComplex class method) simplicial_complex_adjacency_spectrum() (in module toponetx.algorithms.spectrum) simplicial_complex_hodge_laplacian_spectrum() (in module toponetx.algorithms.spectrum) SimplicialComplex (class in toponetx.classes.simplicial_complex) singletons() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) size() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) skeleton() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.colored_hypergraph.ColoredHyperGraph method) (toponetx.classes.combinatorial_complex.CombinatorialComplex method) (toponetx.classes.complex.Complex method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.reportviews.ColoredHyperEdgeView method) (toponetx.classes.reportviews.HyperEdgeView method) (toponetx.classes.simplicial_complex.SimplicialComplex method) stanford_bunny() (in module toponetx.datasets.mesh)

T

to_cell_complex() (toponetx.classes.simplicial_complex.SimplicialComplex method) to_colored_hypergraph() (toponetx.classes.cell_complex.CellComplex method) to_combinatorial_complex() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method) to_hasse_graph() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method) to_hypergraph() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method) to_pickle() (in module toponetx.readwrite.serialization) to_spharapy() (toponetx.classes.simplicial_complex.SimplicialComplex method) to_trimesh() (toponetx.classes.simplicial_complex.SimplicialComplex method) toponetx.algorithms.components module toponetx.algorithms.distance module toponetx.algorithms.distance_measures module toponetx.algorithms.spectrum module toponetx.classes.cell module toponetx.classes.cell_complex module toponetx.classes.colored_hypergraph module toponetx.classes.combinatorial_complex module toponetx.classes.complex module

toponetx.classes.hyperedge module toponetx.classes.path module toponetx.classes.path_complex module toponetx.classes.reportviews module toponetx.classes.simplex module toponetx.classes.simplicial_complex module toponetx.datasets.graph module toponetx.datasets.mesh module toponetx.datasets.utils module toponetx.generators.random_cell_complexes module toponetx.generators.random_simplicial_complexes module toponetx.readwrite.atomlist module toponetx.readwrite.serialization module toponetx.transform.graph_to_cell_complex module toponetx.transform.graph_to_simplicial_complex module

U

up_laplacian_matrix() (toponetx.classes.cell_complex.CellComplex method) (toponetx.classes.path_complex.PathComplex method) (toponetx.classes.simplicial_complex.SimplicialComplex method)

update() (toponetx.classes.complex.Atom method)

V

validate_attributes() (toponetx.classes.simplex.Simplex static method)

W

weighted_graph_to_vietoris_rips_complex() (in module toponetx.transform.graph_to_simplicial_complex)

write_atomlist() (in module toponetx.readwrite.atomlist)