Index

A

abc_index() (in module graphcalc.graphs.invariants.graph_indices) add() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method) add_edge() (graphcalc.hypergraphs.core.basics.Hypergraph method) add_edges() (graphcalc.hypergraphs.core.basics.Hypergraph method) add_vertex() (graphcalc.hypergraphs.core.basics.Hypergraph method) add_vertices() (graphcalc.hypergraphs.core.basics.Hypergraph method) additive_dataset_column_definitions() (in module graphcalc.additive_combinatorics.dataset_generators) additive_energy() (in module graphcalc.additive_combinatorics.invariants) additive_package_to_dataframe() (in module graphcalc.additive_combinatorics.dataset_exports) additive_rows_to_dataframe() (in module graphcalc.additive_combinatorics.dataset_exports) additive_set_to_record() (in module graphcalc.additive_combinatorics.dataset_generators) AdditiveSet (class in graphcalc.additive_combinatorics.sets) adjacency_eigenvalues() (in module graphcalc.graphs.invariants.spectral) adjacency_graph_energy() (in module graphcalc.graphs.invariants.spectral) adjacency_inertia_triple() (in module graphcalc.graphs.invariants.spectral) adjacency_matrix() (in module graphcalc.graphs.invariants.spectral) adjacency_negative_inertia_index() (in module graphcalc.graphs.invariants.spectral) adjacency_nullity() (in module graphcalc.graphs.invariants.spectral) adjacency_positive_inertia_index() (in module graphcalc.graphs.invariants.spectral) adjacency_rank() (in module graphcalc.graphs.invariants.spectral) adjacency_signature() (in module graphcalc.graphs.invariants.spectral) adjacency_smallest_positive_eigenvalue() (in module graphcalc.graphs.invariants.spectral)

adjacency_zero_inertia_index() (in module graphcalc.graphs.invariants.spectral) AdjacencyInertia (class in graphcalc.graphs.invariants.spectral) affine_plane() (in module graphcalc.hypergraphs.generators.uniform) algebraic_connectivity() (in module graphcalc.graphs.invariants.spectral) all_properties() (in module graphcalc.graphs.data.data_generation) all_subsets_of_group() (in module graphcalc.additive_combinatorics.generators) alpha_core_number() (in module graphcalc.graphs.invariants.core_invariants) alpha_core_set() (in module graphcalc.graphs.invariants.core_invariants) amplitude_damping_channel() (in module graphcalc.quantum.channel_generators) annihilation_number() (in module graphcalc.graphs.invariants.degree) append_graph_row() (in module graphcalc.graphs.data.data_generation) apply() (graphcalc.quantum.channels.QuantumChannel method) apply_channel_to_subsystem() (in module graphcalc.quantum.local_channels) apply_channels_to_subsystems() (in module graphcalc.quantum.local_channels) arboricity() (in module graphcalc.graphs.invariants.classics) arithmetic_progression() (in module graphcalc.additive_combinatorics.generators) arithmetic_progressions() (in module graphcalc.hypergraphs.generators.uniform) augmented_zagreb_index() (in module graphcalc.graphs.invariants.graph_indices) average_codegree() (in module graphcalc.hypergraphs.invariants.codegree) average_degree() (in module graphcalc.graphs.invariants.degree) (in module graphcalc.hypergraphs.invariants.basic) average_distance() (in module graphcalc.graphs.invariants.classics) average_shortest_path_length() (in module graphcalc.graphs.core.basics)

B

balanced_tree() (in module graphcalc.graphs.generators.simple_graphs) barabasi_albert_graph() (in module graphcalc.graphs.generators.simple_graphs) barbell_graph() (in module graphcalc.graphs.generators.simple_graphs) basis_state() (graphcalc.quantum.states.QuantumState class method) (in module graphcalc.quantum.generators) bell_basis_measurement() (in module graphcalc.quantum.measurement_generators) bell_state() (in module graphcalc.quantum.generators)

berge_girth() (in module graphcalc.hypergraphs.invariants.acyclicity) binomial_tree() (in module graphcalc.graphs.generators.simple_graphs) bipartite() (in module graphcalc.graphs.core.basics) bipartite_number() (in module graphcalc.graphs.invariants.classics) bit_flip_channel() (in module graphcalc.quantum.channel_generators) bit_phase_flip_channel() (in module graphcalc.quantum.channel_generators) burning_number() (in module graphcalc.graphs.invariants.zero_forcing)

C

can_edge_color_with_k() (in module graphcalc.graphs.invariants.coloring_predicates) cardinality() (in module graphcalc.additive_combinatorics.invariants) choi (graphcalc.quantum.channels.QuantumChannel property) choi_eigenvalues() (in module graphcalc.quantum.channel_invariants) choi_rank (graphcalc.quantum.channels.QuantumChannel property) choi_rank() (in module graphcalc.quantum.channel_invariants) chordal() (in module graphcalc.graphs.core.basics) chromatic_number() (in module graphcalc.graphs.invariants.classics) circumference() (in module graphcalc.graphs.invariants.cycle_invariants) claw_free() (in module graphcalc.graphs.core.basics) clear() (graphcalc.hypergraphs.core.basics.Hypergraph method) clique_core_number() (in module graphcalc.graphs.invariants.core_invariants) clique_core_set() (in module graphcalc.graphs.invariants.core_invariants) clique_number() (in module graphcalc.graphs.invariants.classics) closed_neighborhood() (in module graphcalc.graphs.core.neighborhoods) co_rank() (in module graphcalc.hypergraphs.invariants.basic) codegree() (in module graphcalc.hypergraphs.invariants.codegree) cograph() (in module graphcalc.graphs.core.basics) coloring (graphcalc.graphs.invariants.advanced_colorings.EdgeColoringSolveResult attribute) (graphcalc.graphs.invariants.advanced_colorings.SolveResult attribute) complement() (graphcalc.graphs.core.basics.SimpleGraph method) complement_is_connected() (in module graphcalc.graphs.invariants.domination) complete_graph() (in module graphcalc.graphs.generators.simple_graphs) complete_k_uniform() (in module graphcalc.hypergraphs.generators.uniform) compose() (graphcalc.quantum.channels.QuantumChannel method) computational_basis() (graphcalc.quantum.measurements.QuantumMeasurement class method) computational_basis_measurement() (in module graphcalc.quantum.measurement_generators) computational_basis_state() (in module graphcalc.quantum.generators) compute_graph_properties() (in module graphcalc.graphs.data.data_generation) compute_knowledge_table() (in module graphcalc.graphs.data.data_generation) compute_well_splitting_number() (in module graphcalc.graphs.invariants.zero_forcing)

connected() (in module graphcalc.graphs.core.basics) connected_and_bipartite() (in module graphcalc.graphs.core.basics) connected_and_chordal() (in module graphcalc.graphs.core.basics) connected_and_claw_free() (in module graphcalc.graphs.core.basics) connected_and_cograph() (in module graphcalc.graphs.core.basics) connected_and_cubic() (in module graphcalc.graphs.core.basics) connected_and_eulerian() (in module graphcalc.graphs.core.basics) connected_and_K_4_free() (in module graphcalc.graphs.core.basics) connected_and_planar() (in module graphcalc.graphs.core.basics) connected_and_regular() (in module graphcalc.graphs.core.basics) connected_and_subcubic() (in module graphcalc.graphs.core.basics) connected_and_triangle_free() (in module graphcalc.graphs.core.basics) connected_domination_number() (in module graphcalc.graphs.invariants.domination) connected_k_forcing_number() (in module graphcalc.graphs.invariants.zero_forcing) connected_zero_forcing_number() (in module graphcalc.graphs.invariants.zero_forcing) contains() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method) contains_zero() (graphcalc.additive_combinatorics.sets.AdditiveSet method) (in module graphcalc.additive_combinatorics.properties) copy() (graphcalc.additive_combinatorics.sets.AdditiveSet method) (graphcalc.hypergraphs.core.basics.Hypergraph method) (graphcalc.quantum.channels.QuantumChannel method) (graphcalc.quantum.states.QuantumState method) core_number_maximum_fast() (in module graphcalc.graphs.invariants.core_invariants) core_number_minimum() (in module graphcalc.graphs.invariants.core_invariants) core_set_maximum_fast() (in module graphcalc.graphs.invariants.core_invariants) core_set_minimum() (in module graphcalc.graphs.invariants.core_invariants) coset() (in module graphcalc.additive_combinatorics.generators) count_of_maximum_degree_vertices() (in module graphcalc.graphs.invariants.degree) count_of_minimum_degree_vertices() (in module graphcalc.graphs.invariants.degree) cubic() (in module graphcalc.graphs.core.basics) cycle_graph() (in module graphcalc.graphs.generators.simple_graphs) cycle_rank() (in module graphcalc.graphs.invariants.cycle_invariants)

D

d_degree() (graphcalc.hypergraphs.core.basics.Hypergraph method) decycling_number() (in module graphcalc.graphs.invariants.cycle_invariants) degree() (graphcalc.hypergraphs.core.basics.Hypergraph method) (in module graphcalc.graphs.invariants.degree) degree_sequence() (in module graphcalc.graphs.invariants.degree) (in module graphcalc.hypergraphs.invariants.basic) (in module graphcalc.hypergraphs.invariants.dsi) degree_stats() (graphcalc.hypergraphs.core.basics.Hypergraph method) degrees() (graphcalc.hypergraphs.core.basics.Hypergraph method) depolarizing_channel() (in module graphcalc.quantum.channel_generators) diameter() (in module graphcalc.graphs.core.basics) diamond_necklace() (in module graphcalc.graphs.generators.simple_graphs) difference_constant() (in module graphcalc.additive_combinatorics.invariants) diffset() (graphcalc.additive_combinatorics.sets.AdditiveSet method) diffset_defect() (in module graphcalc.additive_combinatorics.invariants) diffset_density() (in module graphcalc.additive_combinatorics.invariants) diffset_size() (in module graphcalc.additive_combinatorics.invariants) dilate() (graphcalc.additive_combinatorics.sets.AdditiveSet method) dimension (graphcalc.quantum.channels.QuantumChannel property) (graphcalc.quantum.states.QuantumState property) dims (graphcalc.quantum.states.QuantumState property) distinct_degree_count() (in module graphcalc.graphs.invariants.degree) doctor() (in module graphcalc.solvers)

domination_core_number() (in module graphcalc.graphs.invariants.core_invariants) domination_core_set() (in module graphcalc.graphs.invariants.core_invariants) domination_edge_change_number() (in module graphcalc.graphs.invariants.critical_invariants) domination_edge_decrease_number() (in module graphcalc.graphs.invariants.critical_invariants) domination_edge_increase_number() (in module graphcalc.graphs.invariants.critical_invariants) domination_edge_max_jump() (in module graphcalc.graphs.invariants.critical_invariants) domination_edge_same_number() (in module graphcalc.graphs.invariants.critical_invariants) domination_number() (in module graphcalc.graphs.invariants.domination) (in module graphcalc.hypergraphs.invariants.domination) domination_vertex_change_number() (in module graphcalc.graphs.invariants.critical_invariants) domination_vertex_decrease_number() (in module graphcalc.graphs.invariants.critical_invariants) domination_vertex_increase_number() (in module graphcalc.graphs.invariants.critical_invariants) domination_vertex_max_jump() (in module graphcalc.graphs.invariants.critical_invariants) domination_vertex_same_number() (in module graphcalc.graphs.invariants.critical_invariants) double_roman_domination_number() (in module graphcalc.graphs.invariants.domination) doubling_constant() (in module graphcalc.additive_combinatorics.invariants) doubling_minus_difference() (in module graphcalc.additive_combinatorics.invariants) draw() (graphcalc.graphs.core.basics.SimpleGraph method) draw_coloring() (in module graphcalc.graphs.viz.edges) draw_edge_set() (in module graphcalc.graphs.viz.edges) draw_edges() (in module graphcalc.graphs.viz.edges) draw_vertex_set() (in module graphcalc.graphs.viz.vertices) draw_vertices() (in module graphcalc.graphs.viz.vertices) dual() (graphcalc.hypergraphs.core.basics.Hypergraph method)

E

E (graphcalc.hypergraphs.core.basics.Hypergraph property) edge_chromatic_number() (in module graphcalc.hypergraphs.invariants.chromatic) edge_coloring() (in module graphcalc.hypergraphs.invariants.chromatic) edge_cover_number() (in module graphcalc.graphs.invariants.classics) (in module graphcalc.hypergraphs.invariants.matching) edge_critical_number() (in module graphcalc.graphs.invariants.critical_invariants) edge_deletion_deltas() (in module graphcalc.graphs.invariants.critical_invariants) edge_size_counts() (graphcalc.hypergraphs.core.basics.Hypergraph method) edge_size_sequence() (in module graphcalc.hypergraphs.invariants.basic) edge_sizes() (graphcalc.hypergraphs.core.basics.Hypergraph method) EdgeColoringSolveResult (class in graphcalc.graphs.invariants.advanced_colorings) edges() (graphcalc.hypergraphs.core.basics.Hypergraph method) effects() (graphcalc.quantum.measurements.QuantumMeasurement method)

eigenvalues() (graphcalc.quantum.states.QuantumState method) elements (graphcalc.additive_combinatorics.sets.AdditiveSet property) elements() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method) empty_set() (in module graphcalc.additive_combinatorics.generators) energy_over_sumset_square() (in module graphcalc.additive_combinatorics.invariants) enforce_type() (in module graphcalc.utils) entanglement_entropy() (in module graphcalc.quantum.invariants) equal() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method) (graphcalc.additive_combinatorics.sets.AdditiveSet method) erdos_ko_rado_star() (in module graphcalc.hypergraphs.generators.uniform) erdos_renyi_graph() (in module graphcalc.graphs.generators.simple_graphs) eulerian() (in module graphcalc.graphs.core.basics) even_girth() (in module graphcalc.graphs.invariants.cycle_invariants) expand_list_columns() (in module graphcalc.graphs.data.data_generation)

F

fan_graph() (in module graphcalc.graphs.generators.simple_graphs) fano_plane() (in module graphcalc.hypergraphs.generators.uniform) feasible (graphcalc.graphs.invariants.advanced_colorings.EdgeColoringSolveResult attribute) (graphcalc.graphs.invariants.advanced_colorings.SolveResult attribute) feedback_vertex_number() (in module graphcalc.graphs.invariants.cycle_invariants) feedback_vertex_set() (in module graphcalc.graphs.invariants.cycle_invariants) fidelity() (in module graphcalc.quantum.invariants) FiniteAbelianGroup (class in graphcalc.additive_combinatorics.ambient_groups)

fractional_matching_number() (in module graphcalc.hypergraphs.invariants.matching) fractional_transversal_number() (in module graphcalc.hypergraphs.invariants.transversals) from_choi() (graphcalc.quantum.channels.QuantumChannel class method) from_density() (graphcalc.quantum.states.QuantumState class method) from_edges() (graphcalc.hypergraphs.core.basics.Hypergraph class method) from_ket() (graphcalc.quantum.states.QuantumState class method) from_kraus() (graphcalc.quantum.channels.QuantumChannel class method) from_projectors() (graphcalc.quantum.measurements.QuantumMeasurement class method)

G

ga_index() (in module graphcalc.graphs.invariants.graph_indices) generalized_annihilation_number() (in module graphcalc.hypergraphs.invariants.dsi) generalized_havel_hakimi_residue() (in module graphcalc.hypergraphs.invariants.dsi) generate_additive_set_dataset() (in module graphcalc.additive_combinatorics.dataset_generators) generate_parameter_grid() (in module graphcalc.quantum.dataset_generators) generate_quantum_state_dataset() (in module graphcalc.quantum.dataset_generators) get_adjacency_matrix() (graphcalc.graphs.core.basics.SimpleGraph method) get_default_solver() (in module graphcalc.solvers) (in module graphcalc.utils) ghz_state() (in module graphcalc.quantum.generators) girth() (in module graphcalc.graphs.invariants.cycle_invariants) graphcalc.additive_combinatorics.ambient_groups module graphcalc.additive_combinatorics.dataset_exports module graphcalc.additive_combinatorics.dataset_generators module graphcalc.additive_combinatorics.generators module graphcalc.additive_combinatorics.invariants module graphcalc.additive_combinatorics.properties module graphcalc.additive_combinatorics.sets module graphcalc.graphs.core.basics module graphcalc.graphs.core.neighborhoods module graphcalc.graphs.data.data_generation module graphcalc.graphs.generators.simple_graphs module graphcalc.graphs.invariants.advanced_colorings module graphcalc.graphs.invariants.classics module graphcalc.graphs.invariants.coloring_predicates module graphcalc.graphs.invariants.core_invariants module graphcalc.graphs.invariants.critical_invariants module graphcalc.graphs.invariants.cycle_invariants module graphcalc.graphs.invariants.degree module graphcalc.graphs.invariants.domination module graphcalc.graphs.invariants.graph_indices module graphcalc.graphs.invariants.local_invariants module graphcalc.graphs.invariants.spectral module graphcalc.graphs.invariants.transversal_invariants module graphcalc.graphs.invariants.zero_forcing module graphcalc.graphs.viz.edges module graphcalc.graphs.viz.vertices module graphcalc.hypergraphs.core.basics module

graphcalc.hypergraphs.generators.uniform module graphcalc.hypergraphs.invariants.acyclicity module graphcalc.hypergraphs.invariants.basic module graphcalc.hypergraphs.invariants.chromatic module graphcalc.hypergraphs.invariants.codegree module graphcalc.hypergraphs.invariants.configurations module graphcalc.hypergraphs.invariants.domination module graphcalc.hypergraphs.invariants.dsi module graphcalc.hypergraphs.invariants.extremal module graphcalc.hypergraphs.invariants.independence module graphcalc.hypergraphs.invariants.matching module graphcalc.hypergraphs.invariants.partite module graphcalc.hypergraphs.invariants.structure module graphcalc.hypergraphs.invariants.transversals module graphcalc.quantum.channel_generators module graphcalc.quantum.channel_invariants module graphcalc.quantum.channel_properties module graphcalc.quantum.channels module graphcalc.quantum.dataset_exports module graphcalc.quantum.dataset_generators module graphcalc.quantum.generators module graphcalc.quantum.invariants module graphcalc.quantum.local_channels module graphcalc.quantum.measurement_generators module graphcalc.quantum.measurement_properties module graphcalc.quantum.measurements module graphcalc.quantum.properties module graphcalc.quantum.states module graphcalc.solvers module graphcalc.utils module GraphLike (in module graphcalc.utils) grid_2d_graph() (in module graphcalc.graphs.generators.simple_graphs) group (graphcalc.additive_combinatorics.sets.AdditiveSet property)

H

harmonic_index() (in module graphcalc.graphs.invariants.graph_indices) has_edge() (graphcalc.hypergraphs.core.basics.Hypergraph method) has_full_diffset() (in module graphcalc.additive_combinatorics.properties) has_full_sumset() (in module graphcalc.additive_combinatorics.properties) has_open_neighborhood_conflict_free_coloring() (in module graphcalc.graphs.invariants.advanced_colorings) has_open_neighborhood_odd_coloring() (in module graphcalc.graphs.invariants.advanced_colorings) has_positive_partial_transpose() (in module graphcalc.quantum.properties) has_proper_open_neighborhood_conflict_free_coloring() (in module graphcalc.graphs.invariants.advanced_colorings)

has_rainbow_connection_coloring() (in module graphcalc.graphs.invariants.advanced_colorings) has_small_doubling() (in module graphcalc.additive_combinatorics.properties) has_strong_rainbow_connection_coloring() (in module graphcalc.graphs.invariants.advanced_colorings) has_sunflower() (in module graphcalc.hypergraphs.invariants.configurations) has_vertex() (graphcalc.hypergraphs.core.basics.Hypergraph method) hh_residue_graph_degree_sequence() (in module graphcalc.hypergraphs.invariants.dsi) hilton_milner() (in module graphcalc.hypergraphs.generators.uniform) hyper_zagreb_index() (in module graphcalc.graphs.invariants.graph_indices) Hypergraph (class in graphcalc.hypergraphs.core.basics)

I

identity() (graphcalc.quantum.channels.QuantumChannel class method) identity_channel() (in module graphcalc.quantum.channel_generators) incident_edges() (graphcalc.hypergraphs.core.basics.Hypergraph method) independence_number() (in module graphcalc.graphs.invariants.classics) (in module graphcalc.hypergraphs.invariants.independence) independent_domination_number() (in module graphcalc.graphs.invariants.domination) induced_subhypergraph() (graphcalc.hypergraphs.core.basics.Hypergraph method) input_dimension() (in module graphcalc.quantum.channel_invariants) interval() (in module graphcalc.additive_combinatorics.generators) irregularity() (in module graphcalc.graphs.invariants.degree) is_alpha_acyclic() (in module graphcalc.hypergraphs.invariants.acyclicity) is_aperiodic() (in module graphcalc.additive_combinatorics.properties) is_berge_acyclic() (in module graphcalc.hypergraphs.invariants.acyclicity) is_C4_free() (in module graphcalc.graphs.core.basics) is_class1() (in module graphcalc.graphs.invariants.coloring_predicates) is_class2() (in module graphcalc.graphs.invariants.coloring_predicates) is_clutter() (in module graphcalc.hypergraphs.invariants.structure) is_completely_positive() (graphcalc.quantum.channels.QuantumChannel method) (in module graphcalc.quantum.channel_properties) is_connected_k_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) is_connected_zero_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) is_coset() (in module graphcalc.additive_combinatorics.properties) is_d_regular() (in module graphcalc.hypergraphs.invariants.basic) is_difference_larger_than_sumset() (in module graphcalc.additive_combinatorics.properties) is_dominating_set() (in module graphcalc.graphs.invariants.domination) is_doubling_at_most_2() (in module graphcalc.additive_combinatorics.properties) is_doubling_at_most_3_over_2() (in module graphcalc.additive_combinatorics.properties) is_empty (graphcalc.additive_combinatorics.sets.AdditiveSet property) (graphcalc.hypergraphs.core.basics.Hypergraph property) is_empty() (in module graphcalc.hypergraphs.invariants.basic) is_empty_set() (in module graphcalc.additive_combinatorics.properties) is_entangled() (in module graphcalc.quantum.properties) is_hamiltonian() (in module graphcalc.graphs.invariants.classics) is_incidence_connected() (graphcalc.hypergraphs.core.basics.Hypergraph method) is_induced_C4_free() (in module graphcalc.graphs.core.basics) is_intersecting() (in module graphcalc.hypergraphs.invariants.structure) is_k_forcing_active_set() (in module graphcalc.graphs.invariants.zero_forcing) is_k_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) is_k_forcing_vertex() (in module graphcalc.graphs.invariants.zero_forcing) is_k_power_dominating_set() (in module graphcalc.graphs.invariants.zero_forcing) is_k_uniform() (in module graphcalc.hypergraphs.invariants.basic)

is_linear() (in module graphcalc.hypergraphs.invariants.structure) is_mixed (graphcalc.quantum.states.QuantumState property) is_mixed() (in module graphcalc.quantum.properties) is_outer_connected_dominating_set() (in module graphcalc.graphs.invariants.domination) is_pair_covering() (in module graphcalc.hypergraphs.invariants.structure) is_periodic() (in module graphcalc.additive_combinatorics.properties) is_povm() (in module graphcalc.quantum.measurement_properties) is_power_dominating_set() (in module graphcalc.graphs.invariants.zero_forcing) is_product_state() (in module graphcalc.quantum.properties) is_projective_measurement() (in module graphcalc.quantum.measurement_properties) is_psd_forcing_vertex() (in module graphcalc.graphs.invariants.zero_forcing) is_psd_zero_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) is_pure (graphcalc.quantum.states.QuantumState property) is_pure() (in module graphcalc.quantum.properties) is_quantum_channel() (in module graphcalc.quantum.channel_properties) is_r_partite_r_uniform() (in module graphcalc.hypergraphs.invariants.partite) is_rank_one_measurement() (in module graphcalc.quantum.measurement_properties) is_regular() (in module graphcalc.hypergraphs.invariants.basic) is_sidon() (in module graphcalc.additive_combinatorics.properties) is_simple() (in module graphcalc.hypergraphs.invariants.structure) is_sperner() (in module graphcalc.hypergraphs.invariants.structure) is_subgroup() (in module graphcalc.additive_combinatorics.properties) is_subset_of() (graphcalc.additive_combinatorics.sets.AdditiveSet method) is_sum_free() (in module graphcalc.additive_combinatorics.properties) is_symmetric() (in module graphcalc.additive_combinatorics.properties) is_t_intersecting() (in module graphcalc.hypergraphs.invariants.structure) is_total_zero_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) is_trace_preserving() (graphcalc.quantum.channels.QuantumChannel method) (in module graphcalc.quantum.channel_properties) is_trivial() (in module graphcalc.hypergraphs.invariants.basic) is_trivial_set() (in module graphcalc.additive_combinatorics.properties) is_uniform() (graphcalc.hypergraphs.core.basics.Hypergraph method) is_unital() (graphcalc.quantum.channels.QuantumChannel method) (in module graphcalc.quantum.channel_properties) is_unitary_channel() (in module graphcalc.quantum.channel_properties) is_valid_state() (in module graphcalc.quantum.properties) is_well_splitting_set() (in module graphcalc.graphs.invariants.zero_forcing) is_whole_group() (in module graphcalc.additive_combinatorics.properties) is_zero_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) is_zero_forcing_vertex() (in module graphcalc.graphs.invariants.zero_forcing) isolate_free() (in module graphcalc.graphs.core.basics)

K

K_4_free() (in module graphcalc.graphs.core.basics) k_fold_sum() (graphcalc.additive_combinatorics.sets.AdditiveSet method) k_forcing_number() (in module graphcalc.graphs.invariants.zero_forcing) k_power_domination_number() (in module graphcalc.graphs.invariants.zero_forcing) k_residue() (in module graphcalc.graphs.invariants.degree)

k_residue_from_degrees() (in module graphcalc.graphs.invariants.degree) k_uniform_matching() (in module graphcalc.hypergraphs.generators.uniform) k_uniform_star() (in module graphcalc.hypergraphs.generators.uniform) kraus_operators() (graphcalc.quantum.channels.QuantumChannel method) kraus_rank() (in module graphcalc.quantum.channel_invariants)

L

ladder_graph() (in module graphcalc.graphs.generators.simple_graphs) laplacian_eigenvalues() (in module graphcalc.graphs.invariants.spectral) laplacian_matrix() (in module graphcalc.graphs.invariants.spectral) large_additive_snapshot() (in module graphcalc.additive_combinatorics.dataset_generators) large_quantum_snapshot() (in module graphcalc.quantum.dataset_generators) largest_laplacian_eigenvalue() (in module graphcalc.graphs.invariants.spectral) linear_arboricity() (in module graphcalc.graphs.invariants.classics) linear_entropy() (in module graphcalc.quantum.invariants) list_elements() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method) local_annihilation_number() (in module graphcalc.graphs.invariants.local_invariants) local_chromatic_number() (in module graphcalc.graphs.invariants.local_invariants) local_clique_number() (in module graphcalc.graphs.invariants.local_invariants)

local_domination_number() (in module graphcalc.graphs.invariants.local_invariants) local_harmonic_index() (in module graphcalc.graphs.invariants.local_invariants) local_independence_number() (in module graphcalc.graphs.invariants.local_invariants) local_parameter() (in module graphcalc.graphs.invariants.local_invariants) local_parameter_radius() (in module graphcalc.graphs.invariants.local_invariants) local_residue() (in module graphcalc.graphs.invariants.local_invariants) local_zero_forcing_number() (in module graphcalc.graphs.invariants.local_invariants) logarithmic_negativity() (in module graphcalc.quantum.invariants) loose_cycle() (in module graphcalc.hypergraphs.generators.uniform) loose_path() (in module graphcalc.hypergraphs.generators.uniform) lower_shadow() (in module graphcalc.hypergraphs.invariants.codegree) lower_shadow_size() (in module graphcalc.hypergraphs.invariants.codegree)

M

m (graphcalc.hypergraphs.core.basics.Hypergraph property) matching_number() (in module graphcalc.graphs.invariants.classics) (in module graphcalc.hypergraphs.invariants.matching) max_difference_representation_count() (in module graphcalc.additive_combinatorics.invariants) max_sum_representation_count() (graphcalc.additive_combinatorics.sets.AdditiveSet method) (in module graphcalc.additive_combinatorics.invariants) maximal_clique_transversal_number() (in module graphcalc.graphs.invariants.transversal_invariants) maximal_independent_set_transversal_number() (in module graphcalc.graphs.invariants.transversal_invariants) maximally_mixed_state() (in module graphcalc.quantum.generators) maximum_clique() (in module graphcalc.graphs.invariants.classics) maximum_codegree() (in module graphcalc.hypergraphs.invariants.codegree) maximum_degree() (in module graphcalc.graphs.invariants.degree) (in module graphcalc.hypergraphs.invariants.basic) maximum_independent_set() (in module graphcalc.graphs.invariants.classics) (in module graphcalc.hypergraphs.invariants.independence) maximum_induced_bipartite_subgraph() (in module graphcalc.graphs.invariants.classics) maximum_induced_forest_number() (in module graphcalc.graphs.invariants.cycle_invariants) maximum_matching() (in module graphcalc.graphs.invariants.classics) (in module graphcalc.hypergraphs.invariants.matching) maximum_number_of_vertex_disjoint_cycles() (in module graphcalc.graphs.invariants.cycle_invariants) medium_additive_snapshot() (in module graphcalc.additive_combinatorics.dataset_generators) medium_quantum_snapshot() (in module graphcalc.quantum.dataset_generators) min_maximal_matching_number() (in module graphcalc.graphs.invariants.domination) minimal_dominating_set_transversal_number() (in module graphcalc.graphs.invariants.transversal_invariants) minimum_codegree() (in module graphcalc.hypergraphs.invariants.codegree) minimum_connected_dominating_set() (in module graphcalc.graphs.invariants.domination) minimum_connected_k_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) minimum_connected_zero_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) minimum_degree() (in module graphcalc.graphs.invariants.degree) (in module graphcalc.hypergraphs.invariants.basic) minimum_dominating_set() (in module graphcalc.graphs.invariants.domination) (in module graphcalc.hypergraphs.invariants.domination) minimum_double_roman_dominating_function() (in module graphcalc.graphs.invariants.domination) minimum_edge_cover() (in module graphcalc.graphs.invariants.classics) (in module graphcalc.hypergraphs.invariants.matching) minimum_independent_dominating_set() (in module graphcalc.graphs.invariants.domination) minimum_k_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) minimum_k_power_dominating_set() (in module graphcalc.graphs.invariants.zero_forcing) minimum_outer_connected_dominating_set() (in module graphcalc.graphs.invariants.domination) minimum_power_dominating_set() (in module graphcalc.graphs.invariants.zero_forcing) minimum_psd_zero_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) minimum_rainbow_dominating_function() (in module graphcalc.graphs.invariants.domination) minimum_restrained_dominating_set() (in module graphcalc.graphs.invariants.domination) minimum_roman_dominating_function() (in module graphcalc.graphs.invariants.domination) minimum_total_dominating_set() (in module graphcalc.hypergraphs.invariants.domination) minimum_total_domination_set() (in module graphcalc.graphs.invariants.domination) minimum_total_zero_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) minimum_transversal() (in module graphcalc.hypergraphs.invariants.transversals) minimum_vertex_cover() (in module graphcalc.graphs.invariants.classics) minimum_zero_forcing_set() (in module graphcalc.graphs.invariants.zero_forcing) minus_state() (in module graphcalc.quantum.generators) module graphcalc.additive_combinatorics.ambient_groups graphcalc.additive_combinatorics.dataset_exports graphcalc.additive_combinatorics.dataset_generators graphcalc.additive_combinatorics.generators graphcalc.additive_combinatorics.invariants graphcalc.additive_combinatorics.properties graphcalc.additive_combinatorics.sets graphcalc.graphs.core.basics graphcalc.graphs.core.neighborhoods graphcalc.graphs.data.data_generation graphcalc.graphs.generators.simple_graphs graphcalc.graphs.invariants.advanced_colorings graphcalc.graphs.invariants.classics graphcalc.graphs.invariants.coloring_predicates graphcalc.graphs.invariants.core_invariants graphcalc.graphs.invariants.critical_invariants graphcalc.graphs.invariants.cycle_invariants graphcalc.graphs.invariants.degree graphcalc.graphs.invariants.domination graphcalc.graphs.invariants.graph_indices graphcalc.graphs.invariants.local_invariants graphcalc.graphs.invariants.spectral graphcalc.graphs.invariants.transversal_invariants graphcalc.graphs.invariants.zero_forcing graphcalc.graphs.viz.edges graphcalc.graphs.viz.vertices graphcalc.hypergraphs.core.basics graphcalc.hypergraphs.generators.uniform graphcalc.hypergraphs.invariants.acyclicity graphcalc.hypergraphs.invariants.basic graphcalc.hypergraphs.invariants.chromatic graphcalc.hypergraphs.invariants.codegree graphcalc.hypergraphs.invariants.configurations graphcalc.hypergraphs.invariants.domination graphcalc.hypergraphs.invariants.dsi graphcalc.hypergraphs.invariants.extremal graphcalc.hypergraphs.invariants.independence graphcalc.hypergraphs.invariants.matching graphcalc.hypergraphs.invariants.partite graphcalc.hypergraphs.invariants.structure graphcalc.hypergraphs.invariants.transversals graphcalc.quantum.channel_generators graphcalc.quantum.channel_invariants graphcalc.quantum.channel_properties graphcalc.quantum.channels graphcalc.quantum.dataset_exports graphcalc.quantum.dataset_generators graphcalc.quantum.generators graphcalc.quantum.invariants graphcalc.quantum.local_channels graphcalc.quantum.measurement_generators graphcalc.quantum.measurement_properties graphcalc.quantum.measurements graphcalc.quantum.properties graphcalc.quantum.states graphcalc.solvers graphcalc.utils

moduli (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup property) mutual_information() (in module graphcalc.quantum.invariants)

N

n (graphcalc.hypergraphs.core.basics.Hypergraph property) n1_degree_count() (in module graphcalc.graphs.invariants.degree) neg() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method) negate() (graphcalc.additive_combinatorics.sets.AdditiveSet method) negative (graphcalc.graphs.invariants.spectral.AdjacencyInertia attribute) negativity() (in module graphcalc.quantum.invariants) neighborhood() (in module graphcalc.graphs.core.neighborhoods)

neighbors() (graphcalc.hypergraphs.core.basics.Hypergraph method) nontrivial() (in module graphcalc.graphs.core.basics) normalize() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method) normalized_additive_energy() (in module graphcalc.additive_combinatorics.invariants) num_outcomes (graphcalc.quantum.measurements.QuantumMeasurement property) num_subsystems (graphcalc.quantum.states.QuantumState property) number_of_edges() (in module graphcalc.hypergraphs.invariants.basic) number_of_vertices() (in module graphcalc.hypergraphs.invariants.basic)

O

odd_girth() (in module graphcalc.graphs.invariants.cycle_invariants) open_neighborhood_conflict_free_chromatic_number() (in module graphcalc.graphs.invariants.advanced_colorings) open_neighborhood_conflict_free_coloring() (in module graphcalc.graphs.invariants.advanced_colorings) open_neighborhood_odd_chromatic_number() (in module graphcalc.graphs.invariants.advanced_colorings) open_neighborhood_odd_coloring() (in module graphcalc.graphs.invariants.advanced_colorings) operators (graphcalc.quantum.measurements.QuantumMeasurement property)

optimal_proper_coloring() (in module graphcalc.graphs.invariants.classics) order (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup property) order() (in module graphcalc.graphs.core.basics) outcome_probabilities() (graphcalc.quantum.measurements.QuantumMeasurement method) outcome_probability() (graphcalc.quantum.measurements.QuantumMeasurement method) outer_connected_domination_number() (in module graphcalc.graphs.invariants.domination) output_dimension() (in module graphcalc.quantum.channel_invariants)

P

partial_trace() (graphcalc.quantum.states.QuantumState method) partial_transpose() (graphcalc.quantum.states.QuantumState method) path_cover_number() (in module graphcalc.graphs.invariants.classics) path_graph() (in module graphcalc.graphs.generators.simple_graphs) pauli_x_measurement() (in module graphcalc.quantum.measurement_generators) pauli_y_measurement() (in module graphcalc.quantum.measurement_generators) pauli_z_measurement() (in module graphcalc.quantum.measurement_generators) petersen_graph() (in module graphcalc.graphs.generators.simple_graphs) phase_damping_channel() (in module graphcalc.quantum.channel_generators) phase_flip_channel() (in module graphcalc.quantum.channel_generators) planar() (in module graphcalc.graphs.core.basics)

plus_state() (in module graphcalc.quantum.generators) positive (graphcalc.graphs.invariants.spectral.AdjacencyInertia attribute) positive_semidefinite_zero_forcing_number() (in module graphcalc.graphs.invariants.zero_forcing) post_measurement_state() (graphcalc.quantum.measurements.QuantumMeasurement method) power_domination_number() (in module graphcalc.graphs.invariants.zero_forcing) powerlaw_cluster_graph() (in module graphcalc.graphs.generators.simple_graphs) projective_plane() (in module graphcalc.hypergraphs.generators.uniform) proper_open_neighborhood_conflict_free_chromatic_number() (in module graphcalc.graphs.invariants.advanced_colorings) proper_open_neighborhood_conflict_free_coloring() (in module graphcalc.graphs.invariants.advanced_colorings) psd_color_change() (in module graphcalc.graphs.invariants.zero_forcing) purity() (graphcalc.quantum.states.QuantumState method) (in module graphcalc.quantum.invariants)

Q

quantum_dataset_column_definitions() (in module graphcalc.quantum.dataset_generators) quantum_package_to_dataframe() (in module graphcalc.quantum.dataset_exports) quantum_rows_to_dataframe() (in module graphcalc.quantum.dataset_exports)

QuantumChannel (class in graphcalc.quantum.channels) QuantumMeasurement (class in graphcalc.quantum.measurements) QuantumState (class in graphcalc.quantum.states)

R

radius() (in module graphcalc.graphs.core.basics) rainbow_connection_coloring() (in module graphcalc.graphs.invariants.advanced_colorings) rainbow_connection_number() (in module graphcalc.graphs.invariants.advanced_colorings) rainbow_domination_number() (in module graphcalc.graphs.invariants.domination) randic_index() (in module graphcalc.graphs.invariants.graph_indices) random_element() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method) random_geometric_graph() (in module graphcalc.graphs.generators.simple_graphs) random_k_regular_configuration() (in module graphcalc.hypergraphs.generators.uniform) random_k_uniform() (in module graphcalc.hypergraphs.generators.uniform) random_regular_graph() (in module graphcalc.graphs.generators.simple_graphs) random_subset() (in module graphcalc.additive_combinatorics.generators) random_symmetric_subset() (in module graphcalc.additive_combinatorics.generators) rank (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup property) (graphcalc.hypergraphs.core.basics.Hypergraph property) (graphcalc.quantum.states.QuantumState property) rank() (in module graphcalc.hypergraphs.invariants.basic) (in module graphcalc.quantum.invariants) read_adjacency_matrix() (graphcalc.graphs.core.basics.SimpleGraph method) read_edge_list() (graphcalc.graphs.core.basics.SimpleGraph method)

reciprocal_augmented_zagreb_index() (in module graphcalc.graphs.invariants.graph_indices) reciprocal_ga_index() (in module graphcalc.graphs.invariants.graph_indices) reciprocal_hyper_zagreb_index() (in module graphcalc.graphs.invariants.graph_indices) reciprocal_sombor_index() (in module graphcalc.graphs.invariants.graph_indices) reciprocal_zagreb_1() (in module graphcalc.graphs.invariants.graph_indices) reciprocal_zagreb_2() (in module graphcalc.graphs.invariants.graph_indices) reduced_state() (graphcalc.quantum.states.QuantumState method) regular() (in module graphcalc.graphs.core.basics) remove_edge() (graphcalc.hypergraphs.core.basics.Hypergraph method) remove_vertex() (graphcalc.hypergraphs.core.basics.Hypergraph method) representation_function() (graphcalc.additive_combinatorics.sets.AdditiveSet method) require_graph_like() (in module graphcalc.utils) residue() (in module graphcalc.graphs.invariants.degree) residue_from_degrees() (in module graphcalc.graphs.invariants.degree) resolve_solver() (in module graphcalc.solvers) (in module graphcalc.utils) restrained_domination_number() (in module graphcalc.graphs.invariants.domination) reverse_degree_sequence() (in module graphcalc.hypergraphs.invariants.dsi) rho (graphcalc.quantum.states.QuantumState property) roman_domination_number() (in module graphcalc.graphs.invariants.domination)

S

sample_random_subsets() (in module graphcalc.additive_combinatorics.generators) save_additive_column_definitions_json() (in module graphcalc.additive_combinatorics.dataset_exports) save_additive_metadata_json() (in module graphcalc.additive_combinatorics.dataset_exports) save_additive_package_csv() (in module graphcalc.additive_combinatorics.dataset_exports) save_quantum_column_definitions_json() (in module graphcalc.quantum.dataset_exports) save_quantum_metadata_json() (in module graphcalc.quantum.dataset_exports) save_quantum_package_csv() (in module graphcalc.quantum.dataset_exports) scalar_mul() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method) second_largest_adjacency_eigenvalue() (in module graphcalc.graphs.invariants.spectral) set_closed_neighbors() (in module graphcalc.graphs.core.neighborhoods) set_neighbors() (in module graphcalc.graphs.core.neighborhoods) SimpleGraph (class in graphcalc.graphs.core.basics) singleton() (in module graphcalc.additive_combinatorics.generators) size (graphcalc.additive_combinatorics.sets.AdditiveSet property) size() (in module graphcalc.graphs.core.basics) slater() (in module graphcalc.graphs.invariants.degree) small_additive_snapshot() (in module graphcalc.additive_combinatorics.dataset_generators) small_quantum_snapshot() (in module graphcalc.quantum.dataset_generators) smallest_adjacency_eigenvalue() (in module graphcalc.graphs.invariants.spectral) solve_or_raise() (in module graphcalc.solvers) (in module graphcalc.utils) SolveResult (class in graphcalc.graphs.invariants.advanced_colorings) sombor_index() (in module graphcalc.graphs.invariants.graph_indices) spectral_radius() (in module graphcalc.graphs.invariants.spectral)

stabilizer() (graphcalc.additive_combinatorics.sets.AdditiveSet method) stabilizer_index() (in module graphcalc.additive_combinatorics.invariants) stabilizer_size() (in module graphcalc.additive_combinatorics.invariants) stabilizer_size_of_sumset() (in module graphcalc.additive_combinatorics.invariants) star_graph() (in module graphcalc.graphs.generators.simple_graphs) strong_chromatic_number() (in module graphcalc.hypergraphs.invariants.chromatic) strong_coloring() (in module graphcalc.hypergraphs.invariants.chromatic) strong_rainbow_connection_coloring() (in module graphcalc.graphs.invariants.advanced_colorings) strong_rainbow_connection_number() (in module graphcalc.graphs.invariants.advanced_colorings) sub() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method) sub_k_domination_number() (in module graphcalc.graphs.invariants.degree) sub_total_domination_number() (in module graphcalc.graphs.invariants.degree) subcubic() (in module graphcalc.graphs.core.basics) subgroup_from_generators() (in module graphcalc.additive_combinatorics.generators) subset_degree() (graphcalc.hypergraphs.core.basics.Hypergraph method) subsystem_dimensions() (graphcalc.quantum.states.QuantumState method) sum_connectivity_index() (in module graphcalc.graphs.invariants.graph_indices) sumset() (graphcalc.additive_combinatorics.sets.AdditiveSet method) sumset_defect() (in module graphcalc.additive_combinatorics.invariants) sumset_density() (in module graphcalc.additive_combinatorics.invariants) sumset_is_periodic() (in module graphcalc.additive_combinatorics.properties) sumset_size() (in module graphcalc.additive_combinatorics.invariants) sumset_stabilizer_index() (in module graphcalc.additive_combinatorics.invariants) sunflower() (in module graphcalc.hypergraphs.generators.uniform)

T

tensor() (graphcalc.quantum.channels.QuantumChannel method) (graphcalc.quantum.states.QuantumState method) three_rainbow_domination_number() (in module graphcalc.graphs.invariants.domination) tight_cycle() (in module graphcalc.hypergraphs.generators.uniform) total_domination_number() (in module graphcalc.graphs.invariants.domination) (in module graphcalc.hypergraphs.invariants.domination) total_zero_forcing_number() (in module graphcalc.graphs.invariants.zero_forcing) trace (graphcalc.quantum.states.QuantumState property) translate() (graphcalc.additive_combinatorics.sets.AdditiveSet method)

transversal_number() (in module graphcalc.hypergraphs.invariants.transversals) tree() (in module graphcalc.graphs.core.basics) triameter() (in module graphcalc.graphs.invariants.classics) triangle_count() (in module graphcalc.graphs.invariants.cycle_invariants) triangle_free() (in module graphcalc.graphs.core.basics) tripling_constant() (in module graphcalc.additive_combinatorics.invariants) two_forcing_number() (in module graphcalc.graphs.invariants.zero_forcing) two_rainbow_domination_number() (in module graphcalc.graphs.invariants.domination) two_section_edges() (graphcalc.hypergraphs.core.basics.Hypergraph method)

U

union_of_cosets() (in module graphcalc.additive_combinatorics.generators)

upper_shadow() (in module graphcalc.hypergraphs.invariants.codegree) upper_shadow_size() (in module graphcalc.hypergraphs.invariants.codegree)

V

V (graphcalc.hypergraphs.core.basics.Hypergraph property) validate() (graphcalc.hypergraphs.core.basics.Hypergraph method) (graphcalc.quantum.channels.QuantumChannel method) (graphcalc.quantum.measurements.QuantumMeasurement method) (graphcalc.quantum.states.QuantumState method) vertex_clique_cover_number() (in module graphcalc.graphs.invariants.classics) vertex_clique_cover_partition() (in module graphcalc.graphs.invariants.classics)

vertex_cover_number() (in module graphcalc.graphs.invariants.classics) vertex_critical_number() (in module graphcalc.graphs.invariants.critical_invariants) vertex_critical_set() (in module graphcalc.graphs.invariants.critical_invariants) vertex_deletion_deltas() (in module graphcalc.graphs.invariants.critical_invariants) vertex_deletion_max_jump() (in module graphcalc.graphs.invariants.critical_invariants) vertices() (graphcalc.hypergraphs.core.basics.Hypergraph method) von_neumann_entropy() (in module graphcalc.quantum.invariants)

W

w_state() (in module graphcalc.quantum.generators) watts_strogatz_graph() (in module graphcalc.graphs.generators.simple_graphs) weak_chromatic_number() (in module graphcalc.hypergraphs.invariants.chromatic) weak_coloring() (in module graphcalc.hypergraphs.invariants.chromatic) well_splitting_number() (in module graphcalc.graphs.invariants.zero_forcing)

werner_state() (in module graphcalc.quantum.generators) wheel_graph() (in module graphcalc.graphs.generators.simple_graphs) whole_group() (in module graphcalc.additive_combinatorics.generators) with_solver() (in module graphcalc.solvers) (in module graphcalc.utils) write_edgelist_to_csv() (graphcalc.graphs.core.basics.SimpleGraph method)

Z

zagreb_1() (in module graphcalc.graphs.invariants.graph_indices) zagreb_2() (in module graphcalc.graphs.invariants.graph_indices) zero (graphcalc.graphs.invariants.spectral.AdjacencyInertia attribute) zero() (graphcalc.additive_combinatorics.ambient_groups.FiniteAbelianGroup method)

zero_adjacency_eigenvalues_count() (in module graphcalc.graphs.invariants.spectral) zero_forcing_core_number() (in module graphcalc.graphs.invariants.core_invariants) zero_forcing_core_set() (in module graphcalc.graphs.invariants.core_invariants) zero_forcing_number() (in module graphcalc.graphs.invariants.zero_forcing)