Index

_

__init__() (toponetx.Atom method) (toponetx.AtomView method) (toponetx.Cell method) (toponetx.CellComplex method) (toponetx.CellView method) (toponetx.ColoredHyperEdgeView method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.Complex method) (toponetx.HyperEdge method) (toponetx.HyperEdgeView method) (toponetx.NodeView method) (toponetx.Path method) (toponetx.PathComplex method) (toponetx.PathView method) (toponetx.Simplex method) (toponetx.SimplexView method) (toponetx.SimplicialComplex method)

A

add_cell() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) add_cells_from() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) add_edge() (toponetx.CellComplex method) add_edges_from() (toponetx.CellComplex method) add_elements_from_nx_graph() (toponetx.SimplicialComplex method) add_node() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.Complex method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method) add_path() (toponetx.PathComplex method) add_paths_from() (toponetx.PathComplex method)

add_simplex() (toponetx.SimplicialComplex method) add_simplices_from() (toponetx.SimplicialComplex method) adjacency_matrix() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.Complex method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method) all_cell_to_node_coadjacency_matrix() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) all_ranks_incidence_matrix() (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) allranks (toponetx.ColoredHyperEdgeView property) (toponetx.HyperEdgeView property) Atom (class in toponetx) AtomView (class in toponetx)

B

boundary (toponetx.Cell property) (toponetx.Path property) (toponetx.Simplex property)

C

Cell (class in toponetx) 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.CellComplex method) CellComplex (class in toponetx) cells (toponetx.CellComplex property) (toponetx.ColoredHyperGraph property) (toponetx.CombinatorialComplex property) CellView (class in toponetx) clear() (toponetx.CellComplex method) clone() (toponetx.Cell method) (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.Complex method) (toponetx.Path method) (toponetx.PathComplex method) (toponetx.Simplex method) (toponetx.SimplicialComplex method)

coadjacency_matrix() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.Complex method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method) coauthorship() (in module toponetx.datasets.graph) coincidence_matrix() (toponetx.SimplicialComplex method) ColoredHyperEdgeView (class in toponetx) ColoredHyperGraph (class in toponetx) combinatorial_complex_adjacency_spectrum() (in module toponetx.algorithms.spectrum) CombinatorialComplex (class in toponetx) Complex (class in toponetx) compute_allowed_paths() (toponetx.PathComplex static method) connected_component_subcomplexes() (in module toponetx.algorithms.components) connected_components() (in module toponetx.algorithms.components) construct_path_boundaries() (toponetx.Path static method) construct_simplex_tree() (toponetx.Simplex static method) coseg() (in module toponetx.datasets.mesh)

D

degree() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) degree_matrix() (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) diameter() (in module toponetx.algorithms.distance_measures) dim (toponetx.CellComplex property) (toponetx.ColoredHyperGraph property) (toponetx.CombinatorialComplex property) (toponetx.Complex property) (toponetx.PathComplex property) (toponetx.SimplicialComplex property)

dirac_operator_matrix() (toponetx.CellComplex method) (toponetx.CombinatorialComplex method) (toponetx.SimplicialComplex method) distance() (in module toponetx.algorithms.distance) down_laplacian_matrix() (toponetx.CellComplex method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method)

E

edges (toponetx.CellComplex property) (toponetx.PathComplex property)

euler_characterisitics() (toponetx.CellComplex method)

F

faces (toponetx.Simplex property) from_gudhi() (toponetx.SimplicialComplex class method) from_networkx_graph() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method)

from_nx() (toponetx.SimplicialComplex class method) from_spharpy() (toponetx.SimplicialComplex class method) from_trimesh() (toponetx.CellComplex class method) (toponetx.ColoredHyperGraph class method) (toponetx.CombinatorialComplex class method) (toponetx.SimplicialComplex class method)

G

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

get_linegraph() (toponetx.CellComplex method) get_maximal_simplices_of_simplex() (toponetx.SimplicialComplex method) get_node_attributes() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method) get_path_attributes() (toponetx.PathComplex method) get_rank() (toponetx.ColoredHyperEdgeView method) (toponetx.HyperEdgeView method) get_simplex_attributes() (toponetx.SimplicialComplex method) get_star() (toponetx.SimplicialComplex method) graph_skeleton() (toponetx.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.CellComplex method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method)

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

I

incidence_dict (toponetx.ColoredHyperGraph property) (toponetx.CombinatorialComplex property) incidence_matrix() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.Complex method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method)

is_connected() (toponetx.CellComplex method) (toponetx.SimplicialComplex method) is_homotopic_to() (toponetx.Cell method) is_insertable_cycle() (toponetx.CellComplex method) is_maximal() (toponetx.SimplicialComplex method) is_regular (toponetx.Cell property) (toponetx.CellComplex property) is_triangular_mesh() (toponetx.SimplicialComplex method) is_valid_cell() (toponetx.Cell static method)

K

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

L

laplace_beltrami_operator() (toponetx.SimplicialComplex method) laplacian_beltrami_eigenvectors() (in module toponetx.algorithms.spectrum) laplacian_matrix() (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex 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.CellComplex class method) (toponetx.SimplicialComplex class method) load_ppi() (in module toponetx.datasets.utils)

M

maxdim (toponetx.CellComplex property) (toponetx.SimplicialComplex property) module toponetx.algorithms.components toponetx.algorithms.distance toponetx.algorithms.distance_measures toponetx.algorithms.spectrum 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.CellComplex method) new_hyperedge_key() (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) node_diameters() (in module toponetx.algorithms.distance_measures) node_to_all_cell_adjacnecy_matrix() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) node_to_all_cell_incidence_matrix() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) nodes (toponetx.CellComplex property) (toponetx.ColoredHyperGraph property) (toponetx.CombinatorialComplex property) (toponetx.Complex property) (toponetx.PathComplex property) (toponetx.SimplicialComplex property)

NodeView (class in toponetx) normalized_laplacian_matrix() (toponetx.SimplicialComplex method) np_cell_complex() (in module toponetx.generators.random_cell_complexes) number_of_cells() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) number_of_edges() (toponetx.CellComplex method) number_of_nodes() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method)

O

order() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method)

P

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

PathComplex (class in toponetx) paths (toponetx.PathComplex property) PathView (class in toponetx)

R

random_clique_complex() (in module toponetx.generators.random_simplicial_complexes) rank (toponetx.HyperEdge property) ranks (toponetx.ColoredHyperGraph property) (toponetx.CombinatorialComplex property) raw() (toponetx.CellView method) remove_cell() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) remove_cells() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) remove_equivalent_cells() (toponetx.CellComplex method) remove_maximal_simplex() (toponetx.SimplicialComplex method) remove_node() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) remove_nodes() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.Complex method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method)

remove_singletons() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) restrict_to_cells() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) restrict_to_nodes() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method) restrict_to_paths() (toponetx.PathComplex method) restrict_to_simplices() (toponetx.SimplicialComplex method) reverse() (toponetx.Cell method)

S

s_component_subcomplexes() (in module toponetx.algorithms.components) s_connected_components() (in module toponetx.algorithms.components) set_cell_attributes() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) set_cell_data() (toponetx.CellComplex method) set_edge_attributes() (toponetx.CellComplex method) (toponetx.PathComplex method) set_filtration() (toponetx.CellComplex method) set_hodge_laplacian_eigenvector_attrs() (in module toponetx.algorithms.spectrum) set_node_attributes() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.PathComplex method) set_path_attributes() (toponetx.PathComplex method) set_simplex_attributes() (toponetx.SimplicialComplex method) shape (toponetx.CellComplex property) (toponetx.ColoredHyperEdgeView property) (toponetx.ColoredHyperGraph property) (toponetx.CombinatorialComplex property) (toponetx.Complex property) (toponetx.HyperEdgeView property) (toponetx.PathComplex property) (toponetx.PathView property) (toponetx.SimplexView property) (toponetx.SimplicialComplex property)

shrec_16() (in module toponetx.datasets.mesh) sign() (toponetx.Cell method) (toponetx.Simplex method) Simplex (class in toponetx) SimplexView (class in toponetx) simplices (toponetx.SimplicialComplex property) simplicial_closure_of_hypergraph() (toponetx.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) singletons() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) size() (toponetx.CellComplex method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) skeleton() (toponetx.CellComplex method) (toponetx.ColoredHyperEdgeView method) (toponetx.ColoredHyperGraph method) (toponetx.CombinatorialComplex method) (toponetx.Complex method) (toponetx.HyperEdgeView method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method) stanford_bunny() (in module toponetx.datasets.mesh)

T

to_cell_complex() (toponetx.SimplicialComplex method) to_colored_hypergraph() (toponetx.CellComplex method) to_combinatorial_complex() (toponetx.CellComplex method) (toponetx.SimplicialComplex method) to_hasse_graph() (toponetx.CellComplex method) (toponetx.SimplicialComplex method) to_hypergraph() (toponetx.CellComplex method) (toponetx.SimplicialComplex method) to_pickle() (in module toponetx.readwrite.serialization) to_spharapy() (toponetx.SimplicialComplex method) to_trimesh() (toponetx.SimplicialComplex method) toponetx.algorithms.components module toponetx.algorithms.distance module toponetx.algorithms.distance_measures module toponetx.algorithms.spectrum 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.CellComplex method) (toponetx.PathComplex method) (toponetx.SimplicialComplex method) update() (toponetx.Atom method) (toponetx.Cell method) (toponetx.HyperEdge method) (toponetx.Path method) (toponetx.Simplex method)

V

validate_attributes() (toponetx.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)