Index

_ | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | R | S | T | U | V | W | Y | Z

_

__init__() (ArcView method) (Arrow method) (Bar method), [1] (BoundingBox method) (Cache method), [1] (Circle method) (CircularArc method) (ClassifierDict method) (DiagramSetWriter method) (DiagramWriter method) (DisjointSetUnion method) (Endpoint method) (EndpointView method) (FaceView method) (FakeBar method), [1] (FilteredNodeView method) (identitydict method) (IngoingEndpoint method) (InvariantTableWriter method) (JointDict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method) (LeveledSet method) (Line method) (Module method) (module method) (Network method) (Node method) (NodeView method) (OrientedPlanarDiagram method) (OutgoingEndpoint method) (PlanarDiagram method) (PolySegment method) (ProgressBar method) (ProgressTracker method), [1] (Segment method) (TangleExpr method) (TangleProduct method) (TangleSum method) (ZigZag method)

A

acxyz() (in module knotpy.drawing.circlepack) add() (DisjointSetUnion method) (LeveledSet method) add_corners_and_smoothen() (in module knotpy.drawing.draw_tangle) add_crossing() (OrientedPlanarDiagram method) (PlanarDiagram method) add_crossings_from() (OrientedPlanarDiagram method) (PlanarDiagram method) add_node() (OrientedPlanarDiagram method) (PlanarDiagram method) add_nodes_from() (OrientedPlanarDiagram method) (PlanarDiagram method) add_vertex() (OrientedPlanarDiagram method) (PlanarDiagram method) add_vertices_from() (OrientedPlanarDiagram method) (PlanarDiagram method) add_virtual_crossing() (OrientedPlanarDiagram method) (PlanarDiagram method) add_virtual_crossings_from() (OrientedPlanarDiagram method) (PlanarDiagram method)

affine_index_polynomial() (in module knotpy.invariants.affine_index) alexander_polynomial() (in module knotpy.invariants.alexander) all_orientations() (in module knotpy.algorithms.orientation) alternating_crossings() (in module knotpy.algorithms.alternating) angle_between_points() (in module knotpy.drawing.draw_tangle) animate_simulation() (in module knotpy.drawing.dynamic_network) antipode() (in module knotpy.utils.geometry) append() (ClassifierDict method) arc_cut_sets() (in module knotpy.algorithms.cut_set) arc_face_graph() (in module knotpy.algorithms.duality) arcs (OrientedPlanarDiagram property) (PlanarDiagram property) ArcView (class in knotpy.classes.views) are_continuation() (in module knotpy.drawing.draw_tangle) Arrow (class in knotpy.drawing.draw_matplotlib) arrow_polynomial() (in module knotpy.invariants.arrow) average_color() (in module knotpy.drawing.draw_matplotlib) average_connection_length() (Network method)

B

Bar (class in knotpy.utils.multiprogressbar) (class in knotpy.utils.multiprogressbar2) bezier() (in module knotpy.drawing.layout) bfs_shortest_path() (in module knotpy.algorithms.paths) bisect() (in module knotpy.utils.geometry) bisector() (in module knotpy.utils.geometry)

bounding_box() (in module knotpy.utils.geometry) BoundingBox (class in knotpy.utils.geometry) bouquet() (in module knotpy.catalog.graphs) bracket_polynomial() (in module knotpy.invariants.bracket) bridge_join() (in module knotpy.algorithms.join) bridges() (in module knotpy.algorithms.topology)

C

Cache (class in knotpy.invariants.cache) (class in knotpy.utils.cache) canonically_rotate_layout() (in module knotpy.drawing.draw_matplotlib) choose_random_reidemeister_moves() (in module knotpy.reidemeister) Circle (class in knotpy.utils.geometry) circle_through_points() (in module knotpy.utils.geometry) CirclePack() (in module knotpy.drawing.circlepack) circlepack_layout() (in module knotpy.drawing.layout) CircularArc (class in knotpy.utils.geometry) ClassifierDict (class in knotpy.utils.dict_utils) clear() (Cache method) (ClassifierDict method) (identitydict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method) (OrientedPlanarDiagram method) (PlanarDiagram method) clear_attributes() (in module knotpy.manipulation.attributes) clear_diagram_attributes() (in module knotpy.manipulation.attributes) clear_endpoint_attributes() (in module knotpy.manipulation.attributes) clear_node_attributes() (in module knotpy.manipulation.attributes) close() (DiagramSetWriter method) (DiagramWriter method) (InvariantTableWriter method) combinations_with_limited_repetitions() (in module knotpy.utils.combinatorics) common_dict() (in module knotpy.utils.dict_utils)

compare_dicts() (in module knotpy.utils.dict_utils) compare_lazy_non_lazy() (in module knotpy.catalog.tests.test_knot_table_invariants) compose_tangles() (in module knotpy.algorithms.tangle) compute_forces() (Network method) compute_PCA() (in module knotpy.drawing.draw_matplotlib) connect() (in module knotpy.drawing.draw_tangle) contains() (LeveledSet method) contract_arc() (in module knotpy.manipulation.contract) convert_node() (OrientedPlanarDiagram method) (PlanarDiagram method) copy() (Cache method) (ClassifierDict method) (identitydict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method) (OrientedPlanarDiagram method) (PlanarDiagram method) crossing_join() (in module knotpy.algorithms.join) crossing_to_vertex() (in module knotpy.algorithms.skein) crossings (OrientedPlanarDiagram property) (PlanarDiagram property) crossings() (in module knotpy.drawing.draw_tangle) cut_decomposition() (in module knotpy.algorithms.cut_set) cut_nodes() (in module knotpy.algorithms.cut_set) cycle_graph() (in module knotpy.catalog.graphs) cycles() (in module knotpy.algorithms.cycles)

D

default_factory (identitydict attribute) degree_sequence() (in module knotpy.algorithms.degree_sequence) deletion_contraction() (in module knotpy.invariants.tutte) detect_move_type() (in module knotpy.reidemeister) diagram_from_name() (in module knotpy.catalog.knot_tables) DiagramSetWriter (class in knotpy.catalog.diagram_writer) DiagramWriter (class in knotpy.catalog.diagram_writer) difference() (LeveledSet method)

DisjointSetUnion (class in knotpy.utils.disjoint_union_set) disoriented_smoothing() (in module knotpy.invariants.arrow) distances() (Network method) draw() (in module knotpy.drawing.draw_matplotlib) (in module knotpy.drawing.draw_tangle) draw_from_layout() (in module knotpy.drawing.draw_matplotlib) draw_smooth() (in module knotpy.drawing.draw_tangle) dual_planar_diagram() (in module knotpy.algorithms.duality)

E

edges() (in module knotpy.algorithms.topology) Endpoint (class in knotpy.classes.endpoint) endpoint_from_pair() (OrientedPlanarDiagram method) (PlanarDiagram method) endpoints (OrientedPlanarDiagram property) (PlanarDiagram property)

EndpointView (class in knotpy.classes.views) example_spatial_graph() (in module knotpy.catalog.example) export_pdf() (in module knotpy.drawing.draw_matplotlib) export_pdf_groups() (in module knotpy.drawing.draw_matplotlib) export_png() (in module knotpy.drawing.draw_matplotlib) extend() (LeveledSet method)

F

faces (OrientedPlanarDiagram property) (PlanarDiagram property) FaceView (class in knotpy.classes.views) FakeBar (class in knotpy.utils.multiprogressbar) (class in knotpy.utils.multiprogressbar2) FilteredNodeView (class in knotpy.classes.views) find() (DisjointSetUnion method) find_all_reidemeister_moves() (in module knotpy.reidemeister) find_arc_cut_set() (in module knotpy.algorithms.cut_set) flatten_nested_list() (in module knotpy.utils.list_utils) flip() (in module knotpy.manipulation.symmetry) flower() (in module knotpy.drawing.circlepack) framing (OrientedPlanarDiagram property) (PlanarDiagram property) freeze() (in module knotpy.classes.freezing)

from_condensed_em_notation() (in module knotpy.notation.em) from_condensed_pd_notation() (in module knotpy.notation.pd) from_dt_notation() (in module knotpy.notation.dt) from_em_notation() (in module knotpy.notation.em) from_knotpy_notation() (in module knotpy.notation.native) from_notation_dispatcher() (in module knotpy.notation.dispatcher) from_pd_notation() (in module knotpy.notation.pd) from_plantri_notation() (in module knotpy.notation.plantri) fromkeys() (Cache class method) (ClassifierDict class method) (identitydict class method) (LazyEvalDict class method) (LazyLoadDict class method) (LazyLoadEvalDict class method) frozen() (in module knotpy.classes.freezing)

G

generate_knot_diagrams() (in module knotpy.catalog.generate) generate_node_names() (in module knotpy.algorithms.naming) generate_simple_graphs() (in module knotpy.catalog.generate) get() (ArcView method) (Cache method) (ClassifierDict method) (EndpointView method) (FaceView method) (FilteredNodeView method) (identitydict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method) (NodeView method)

get_level() (LeveledSet method) get_link_table() (in module knotpy.catalog.knot_tables) get_style_from_style() (in module knotpy.drawing.draw_matplotlib)

H

handcuff() (in module knotpy.catalog.knot_tables) handcuff_link() (in module knotpy.catalog.graphs) handcuff_theta() (in module knotpy.catalog.example) helper_lazy_load_diagram_table() (in module knotpy.catalog.tests.test_knot_table_invariants) helper_load_diagram_table() (in module knotpy.catalog.tests.test_knot_table_invariants)

helper_test_connected_sum_on_knots() (in module knotpy.algorithms.tests.test_sums) homflypt_polynomial() (in module knotpy.invariants.homflypt) homflypt_polynomial_az() (in module knotpy.invariants.homflypt) homflypt_polynomial_lm() (in module knotpy.invariants.homflypt) homflypt_polynomial_vz() (in module knotpy.invariants.homflypt) homflypt_polynomial_xyz() (in module knotpy.invariants.homflypt)

I

icp_complex() (in module knotpy.drawing.icp) identitydict (class in knotpy.utils.dict_utils) IngoingEndpoint (class in knotpy.classes.endpoint) init_network() (in module knotpy.drawing.dynamic_simulation) insert_arc() (in module knotpy.manipulation.insert) insert_arc2() (in module knotpy.manipulation.insert) insert_endpoint() (in module knotpy.manipulation.insert) insert_loop() (in module knotpy.manipulation.insert) insert_new_leaf() (in module knotpy.manipulation.insert) integral() (in module knotpy.drawing.draw_tangle) intersection() (LeveledSet method) InvariantTableWriter (class in knotpy.catalog.invariant_writer) inverse_point_through_circle() (in module knotpy.utils.geometry) invert_dict() (in module knotpy.utils.dict_utils) invert_dict_of_sets() (in module knotpy.utils.dict_utils) invert_multi_dict() (in module knotpy.utils.dict_utils) invert_nested_dict() (in module knotpy.utils.dict_utils) InvertAround() (in module knotpy.drawing.circlepack) InvertPacking() (in module knotpy.drawing.circlepack) is_alternating() (in module knotpy.algorithms.alternating) is_angle_between() (in module knotpy.utils.geometry) is_bridge() (in module knotpy.algorithms.topology) is_empty_diagram() (in module knotpy.algorithms.topology) is_face_alternating() (in module knotpy.algorithms.alternating) is_frozen() (OrientedPlanarDiagram method) (PlanarDiagram method) is_integer_tangle() (in module knotpy.algorithms.tangle)

is_kink() (in module knotpy.algorithms.topology) is_knot() (in module knotpy.algorithms.topology) is_knotoid() (in module knotpy.algorithms.topology) is_leaf() (in module knotpy.algorithms.topology) is_link() (in module knotpy.algorithms.topology) is_linkoid() (in module knotpy.algorithms.topology) is_loop() (in module knotpy.algorithms.topology) is_planar_graph() (in module knotpy.algorithms.topology) is_unknot() (in module knotpy.algorithms.topology) is_unlink() (in module knotpy.algorithms.topology) isdisjoint() (ArcView method) (EndpointView method) (FaceView method) (FilteredNodeView method) (LeveledSet method) (NodeView method) items() (ArcView method) (Cache method) (ClassifierDict method) (EndpointView method) (FaceView method) (FilteredNodeView method) (identitydict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method) (NodeView method) iterable_depth() (in module knotpy.utils.combinatorics)

J

join() (ZigZag method)

JointDict (class in knotpy.utils.dict_utils) jones_polynomial() (in module knotpy.invariants.jones)

K

kauffman_bracket_skein_module() (in module knotpy.invariants.bracket) kauffman_polynomial() (in module knotpy.invariants.kauffman) keys() (ArcView method) (Cache method) (ClassifierDict method) (EndpointView method) (FaceView method) (FilteredNodeView method) (identitydict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method) (NodeView method) kink_region_iterator() (in module knotpy.algorithms.topology) kinks() (in module knotpy.algorithms.topology) knot() (in module knotpy.catalog.knot_tables) knot_invariants() (in module knotpy.catalog.knot_tables) knotpy module knotpy.algorithms module knotpy.algorithms.alternating module knotpy.algorithms.canonical module knotpy.algorithms.closure module knotpy.algorithms.components_link module knotpy.algorithms.connected_sum module knotpy.algorithms.cut_set module knotpy.algorithms.cycles module knotpy.algorithms.degree_sequence module knotpy.algorithms.disjoint_union module knotpy.algorithms.duality module knotpy.algorithms.join module knotpy.algorithms.naming module knotpy.algorithms.orientation module knotpy.algorithms.paths module knotpy.algorithms.sanity module knotpy.algorithms.skein module knotpy.algorithms.tangle module knotpy.algorithms.tests module knotpy.algorithms.tests.test_canonical module knotpy.algorithms.tests.test_closure module knotpy.algorithms.tests.test_component_links module knotpy.algorithms.tests.test_cut_set module knotpy.algorithms.tests.test_degree_sequence module knotpy.algorithms.tests.test_disjoint_sum module knotpy.algorithms.tests.test_features module knotpy.algorithms.tests.test_orientation module knotpy.algorithms.tests.test_skein module knotpy.algorithms.tests.test_sums module knotpy.algorithms.tests.test_tangles module knotpy.algorithms.topology module knotpy.catalog module knotpy.catalog.diagram_reader module knotpy.catalog.diagram_writer module knotpy.catalog.example module knotpy.catalog.generate module knotpy.catalog.graphs module knotpy.catalog.invariant_reader module knotpy.catalog.invariant_writer module knotpy.catalog.knot_tables module knotpy.catalog.tests module knotpy.catalog.tests.test_get_knot_by_names module knotpy.catalog.tests.test_knot_table_invariants module knotpy.catalog.tests.test_knots module knotpy.catalog.tests.test_load_save_diagrams module knotpy.classes module knotpy.classes.convert module knotpy.classes.endpoint module knotpy.classes.freezing module knotpy.classes.node module knotpy.classes.planardiagram module knotpy.classes.tests module knotpy.classes.tests.test_endpoint module knotpy.classes.tests.test_faces module knotpy.classes.tests.test_freezing module knotpy.classes.tests.test_init module knotpy.classes.tests.test_nodes module knotpy.classes.views module knotpy.drawing module knotpy.drawing.circlepack module knotpy.drawing.draw_matplotlib module knotpy.drawing.draw_tangle module knotpy.drawing.dynamic_network module knotpy.drawing.dynamic_simulation module knotpy.drawing.icp module

knotpy.drawing.layout module knotpy.drawing.tests module knotpy.drawing.tests.test_draw module knotpy.drawing.tutte_layout module knotpy.invariants module knotpy.invariants.affine_index module knotpy.invariants.alexander module knotpy.invariants.arrow module knotpy.invariants.bracket module knotpy.invariants.cache module knotpy.invariants.homflypt module knotpy.invariants.jones module knotpy.invariants.kauffman module knotpy.invariants.mock_alexander module knotpy.invariants.module module knotpy.invariants.tests module knotpy.invariants.tests.test_homflypt module knotpy.invariants.tests.test_jones module knotpy.invariants.tests.test_tutte module knotpy.invariants.tests.test_yamada module knotpy.invariants.tutte module knotpy.invariants.unplugging module knotpy.invariants.writhe module knotpy.invariants.yamada module knotpy.manipulation module knotpy.manipulation.attributes module knotpy.manipulation.contract module knotpy.manipulation.insert module knotpy.manipulation.permute module knotpy.manipulation.remove module knotpy.manipulation.rewire module knotpy.manipulation.subdivide module knotpy.manipulation.symmetry module knotpy.manipulation.tests module knotpy.manipulation.tests.test_contract module knotpy.manipulation.tests.test_insert module knotpy.manipulation.tests.test_remove module knotpy.notation module knotpy.notation.dispatcher module knotpy.notation.dt module knotpy.notation.em module knotpy.notation.native module knotpy.notation.pd module knotpy.notation.plantri module knotpy.notation.tests module knotpy.notation.tests.test_notation module knotpy.notation.tests.test_plantri module knotpy.reidemeister module knotpy.utils module knotpy.utils.algebra module knotpy.utils.cache module knotpy.utils.chunked module knotpy.utils.combinatorics module knotpy.utils.decorators module knotpy.utils.dict_utils module knotpy.utils.disjoint_union_set module knotpy.utils.func_utils module knotpy.utils.geometry module knotpy.utils.list_utils module knotpy.utils.module module knotpy.utils.multiprogressbar module knotpy.utils.multiprogressbar2 module knotpy.utils.parsing module knotpy.utils.set_utils module knotpy.utils.statistics module knotpy.utils.string_utils module knotpy.utils.test module knotpy.utils.test.test_dict module knotpy.utils.test.test_dsu module knotpy.utils.test.test_lazy_dict module knotpy.utils.test.test_module module knotpy.utils.test.test_parser module knotpy.utils.test.test_set_utils module knotpy.utils.test.test_value_partitioner module knots() (in module knotpy.catalog.knot_tables)

L

laurent_polynomial_to_tuples() (in module knotpy.utils.algebra) LazyEvalDict (class in knotpy.utils.dict_utils) LazyLoadDict (class in knotpy.utils.dict_utils) LazyLoadEvalDict (class in knotpy.utils.dict_utils) leafs() (in module knotpy.algorithms.topology) length() (PolySegment method) LeveledSet (class in knotpy.utils.set_utils)

lexicographical_minimal_cyclic_rotation_shift() (in module knotpy.utils.combinatorics) Line (class in knotpy.utils.geometry) link() (in module knotpy.catalog.knot_tables) link_components() (in module knotpy.algorithms.components_link) link_components_endpoints() (in module knotpy.algorithms.components_link) links() (in module knotpy.catalog.knot_tables) load_invariant_table() (in module knotpy.catalog.invariant_reader) loops() (in module knotpy.algorithms.topology)

M

make_all_reidemeister_moves() (in module knotpy.reidemeister) make_random_reidemeister_move() (in module knotpy.reidemeister) make_reidemeister_move() (in module knotpy.reidemeister) middle() (in module knotpy.utils.geometry) min_elements_by() (in module knotpy.utils.func_utils) mirror() (in module knotpy.manipulation.symmetry) (ZigZag method) mock_alexander_polynomial() (in module knotpy.invariants.mock_alexander) mod2() (in module knotpy.utils.test.test_value_partitioner) mod3() (in module knotpy.utils.test.test_value_partitioner) module knotpy knotpy.algorithms knotpy.algorithms.alternating knotpy.algorithms.canonical knotpy.algorithms.closure knotpy.algorithms.components_link knotpy.algorithms.connected_sum knotpy.algorithms.cut_set knotpy.algorithms.cycles knotpy.algorithms.degree_sequence knotpy.algorithms.disjoint_union knotpy.algorithms.duality knotpy.algorithms.join knotpy.algorithms.naming knotpy.algorithms.orientation knotpy.algorithms.paths knotpy.algorithms.sanity knotpy.algorithms.skein knotpy.algorithms.tangle knotpy.algorithms.tests knotpy.algorithms.tests.test_canonical knotpy.algorithms.tests.test_closure knotpy.algorithms.tests.test_component_links knotpy.algorithms.tests.test_cut_set knotpy.algorithms.tests.test_degree_sequence knotpy.algorithms.tests.test_disjoint_sum knotpy.algorithms.tests.test_features knotpy.algorithms.tests.test_orientation knotpy.algorithms.tests.test_skein knotpy.algorithms.tests.test_sums knotpy.algorithms.tests.test_tangles knotpy.algorithms.topology knotpy.catalog knotpy.catalog.diagram_reader knotpy.catalog.diagram_writer knotpy.catalog.example knotpy.catalog.generate knotpy.catalog.graphs knotpy.catalog.invariant_reader knotpy.catalog.invariant_writer knotpy.catalog.knot_tables knotpy.catalog.tests knotpy.catalog.tests.test_get_knot_by_names knotpy.catalog.tests.test_knot_table_invariants knotpy.catalog.tests.test_knots knotpy.catalog.tests.test_load_save_diagrams knotpy.classes knotpy.classes.convert knotpy.classes.endpoint knotpy.classes.freezing knotpy.classes.node knotpy.classes.planardiagram knotpy.classes.tests knotpy.classes.tests.test_endpoint knotpy.classes.tests.test_faces knotpy.classes.tests.test_freezing knotpy.classes.tests.test_init knotpy.classes.tests.test_nodes knotpy.classes.views knotpy.drawing knotpy.drawing.circlepack knotpy.drawing.draw_matplotlib knotpy.drawing.draw_tangle knotpy.drawing.dynamic_network knotpy.drawing.dynamic_simulation knotpy.drawing.icp knotpy.drawing.layout knotpy.drawing.tests knotpy.drawing.tests.test_draw knotpy.drawing.tutte_layout knotpy.invariants knotpy.invariants.affine_index knotpy.invariants.alexander knotpy.invariants.arrow knotpy.invariants.bracket knotpy.invariants.cache knotpy.invariants.homflypt knotpy.invariants.jones knotpy.invariants.kauffman knotpy.invariants.mock_alexander knotpy.invariants.module knotpy.invariants.tests knotpy.invariants.tests.test_homflypt knotpy.invariants.tests.test_jones knotpy.invariants.tests.test_tutte knotpy.invariants.tests.test_yamada knotpy.invariants.tutte knotpy.invariants.unplugging knotpy.invariants.writhe knotpy.invariants.yamada knotpy.manipulation knotpy.manipulation.attributes knotpy.manipulation.contract knotpy.manipulation.insert knotpy.manipulation.permute knotpy.manipulation.remove knotpy.manipulation.rewire knotpy.manipulation.subdivide knotpy.manipulation.symmetry knotpy.manipulation.tests knotpy.manipulation.tests.test_contract knotpy.manipulation.tests.test_insert knotpy.manipulation.tests.test_remove knotpy.notation knotpy.notation.dispatcher knotpy.notation.dt knotpy.notation.em knotpy.notation.native knotpy.notation.pd knotpy.notation.plantri knotpy.notation.tests knotpy.notation.tests.test_notation knotpy.notation.tests.test_plantri knotpy.reidemeister knotpy.utils knotpy.utils.algebra knotpy.utils.cache knotpy.utils.chunked knotpy.utils.combinatorics knotpy.utils.decorators knotpy.utils.dict_utils knotpy.utils.disjoint_union_set knotpy.utils.func_utils knotpy.utils.geometry knotpy.utils.list_utils knotpy.utils.module knotpy.utils.multiprogressbar knotpy.utils.multiprogressbar2 knotpy.utils.parsing knotpy.utils.set_utils knotpy.utils.statistics knotpy.utils.string_utils knotpy.utils.test knotpy.utils.test.test_dict knotpy.utils.test.test_dsu knotpy.utils.test.test_lazy_dict knotpy.utils.test.test_module knotpy.utils.test.test_parser knotpy.utils.test.test_set_utils knotpy.utils.test.test_value_partitioner

Module (class in knotpy.invariants.module) module (class in knotpy.utils.module) multi_replace() (in module knotpy.utils.string_utils) multiple_unique_new_node_names() (in module knotpy.algorithms.naming)

N

name (OrientedPlanarDiagram property) (PlanarDiagram property) neighbour_sequence() (in module knotpy.algorithms.degree_sequence) nested_split() (in module knotpy.utils.string_utils) Network (class in knotpy.drawing.dynamic_network) new_level() (LeveledSet method) Node (class in knotpy.classes.node)

nodes (OrientedPlanarDiagram property) (PlanarDiagram property) NodeView (class in knotpy.classes.views) non_adjacent_combinations() (in module knotpy.catalog.generate) NormalizePacking() (in module knotpy.drawing.circlepack) number_of_link_components() (in module knotpy.algorithms.components_link) number_of_unknots() (in module knotpy.algorithms.topology) number_to_alpha() (in module knotpy.algorithms.naming)

O

orient() (in module knotpy.algorithms.orientation) orient_edges() (in module knotpy.algorithms.orientation)

oriented_trefoil() (in module knotpy.catalog.example) OrientedPlanarDiagram (class in knotpy.classes.planardiagram) OutgoingEndpoint (class in knotpy.classes.endpoint)

P

parallel_edges() (in module knotpy.catalog.graphs) parallelize_arc() (in module knotpy.manipulation.insert) parameter_from_point() (Line method) (Segment method) parse_arc() (in module knotpy.utils.parsing) parse_arcs() (in module knotpy.utils.parsing) parse_endpoint() (in module knotpy.utils.parsing) parse_spaced_rows() (in module knotpy.utils.parsing) parted_permutations() (in module knotpy.utils.combinatorics) path_from_endpoint() (in module knotpy.algorithms.paths) path_graph() (in module knotpy.catalog.graphs) permute_node() (in module knotpy.manipulation.permute) (OrientedPlanarDiagram method) (PlanarDiagram method) perpendicular_arc() (in module knotpy.utils.geometry) perpendicular_arc_through_point() (in module knotpy.utils.geometry) perpendicular_line() (in module knotpy.utils.geometry) place() (in module knotpy.drawing.circlepack) planar_diagram_from_data() (in module knotpy.classes.planardiagram) PlanarDiagram (class in knotpy.classes.planardiagram) plot_bead_frame() (in module knotpy.drawing.dynamic_network)

plot_force_history() (in module knotpy.drawing.dynamic_network) plot_static_frame() (in module knotpy.drawing.dynamic_network) poly2str() (in module knotpy.utils.algebra) PolySegment (class in knotpy.utils.geometry) pop() (Cache method) (ClassifierDict method) (identitydict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method) popitem() (Cache method) (ClassifierDict method) (identitydict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method) powerset() (in module knotpy.utils.set_utils) print_bar_chart() (in module knotpy.utils.statistics) ProgressBar (class in knotpy.utils.multiprogressbar2) ProgressTracker (class in knotpy.utils.multiprogressbar) (class in knotpy.utils.multiprogressbar2) pull_and_plug_endpoint() (in module knotpy.manipulation.rewire)

R

randomize_diagram() (in module knotpy.reidemeister) reciprocal() (in module knotpy.utils.algebra) relabel_nodes() (OrientedPlanarDiagram method) (PlanarDiagram method) remove_arc() (in module knotpy.manipulation.remove) remove_bivalent_vertex() (in module knotpy.manipulation.remove) remove_bivalent_vertices() (in module knotpy.manipulation.remove) remove_empty_nodes() (in module knotpy.manipulation.remove)

remove_loops() (in module knotpy.manipulation.remove) remove_node() (OrientedPlanarDiagram method) (PlanarDiagram method) remove_unknots() (in module knotpy.manipulation.remove) replug_endpoint() (in module knotpy.manipulation.rewire) representatives() (DisjointSetUnion method) rotate() (in module knotpy.algorithms.tangle) (ZigZag method)

S

sample() (Segment method) sanity_check() (in module knotpy.algorithms.sanity) save_diagram_sets() (in module knotpy.catalog.diagram_writer) save_diagrams() (in module knotpy.catalog.diagram_writer) save_invariant_table() (in module knotpy.catalog.invariant_writer) scale() (Network method) Segment (class in knotpy.utils.geometry) set() (DisjointSetUnion method) set_arc() (OrientedPlanarDiagram method) (PlanarDiagram method) set_arcs_from() (OrientedPlanarDiagram method) (PlanarDiagram method) set_endpoint() (OrientedPlanarDiagram method) (PlanarDiagram method) setdefault() (Cache method) (ClassifierDict method) (identitydict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method)

simplify_to_2_face() (in module knotpy.invariants.homflypt) simulation() (in module knotpy.drawing.dynamic_network) smoothen() (ZigZag method) smoothen_crossing() (in module knotpy.algorithms.skein) split() (in module knotpy.utils.geometry) (ZigZag method) star_graph() (in module knotpy.catalog.graphs) str2poly() (in module knotpy.utils.algebra) string_to_nested_tuple_with_prefixes() (in module knotpy.utils.string_utils) subdivide_arc() (in module knotpy.manipulation.subdivide) subdivide_arcs_around_node() (in module knotpy.manipulation.subdivide) subdivide_endpoint() (in module knotpy.manipulation.subdivide) subdivide_endpoint_by_crossing() (in module knotpy.manipulation.subdivide) swap_endpoints() (in module knotpy.manipulation.rewire)

T

tangent_line() (in module knotpy.utils.geometry) tangle_decompositions() (in module knotpy.algorithms.tangle) TangleExpr (class in knotpy.drawing.draw_tangle) TangleProduct (class in knotpy.drawing.draw_tangle) TangleSum (class in knotpy.drawing.draw_tangle) test_all_connected_sums() (in module knotpy.algorithms.tests.test_sums) test_arc_cut_set() (in module knotpy.algorithms.tests.test_cut_set) test_bridges() (in module knotpy.algorithms.tests.test_features) test_canonical() (in module knotpy.algorithms.tests.test_canonical) test_canonical_degenerate() (in module knotpy.algorithms.tests.test_canonical) test_canonical_degenerate_oriented() (in module knotpy.algorithms.tests.test_canonical) test_canonical_knots() (in module knotpy.algorithms.tests.test_canonical) test_canonical_knots_oriented() (in module knotpy.algorithms.tests.test_canonical) test_canonical_oriented() (in module knotpy.algorithms.tests.test_canonical) test_closure() (in module knotpy.algorithms.tests.test_closure) test_connected_sum() (in module knotpy.algorithms.tests.test_sums) test_contract_edge() (in module knotpy.manipulation.tests.test_contract) test_contract_edge_attributes() (in module knotpy.manipulation.tests.test_contract) test_cut_set_knotoid() (in module knotpy.algorithms.tests.test_cut_set) test_cut_set_new() (in module knotpy.algorithms.tests.test_cut_set) test_decompose() (in module knotpy.algorithms.tests.test_tangles) test_deg_seq() (in module knotpy.algorithms.tests.test_degree_sequence) test_deletion_contraction_cycle() (in module knotpy.invariants.tests.test_tutte) test_deletion_contraction_parallel_edges() (in module knotpy.invariants.tests.test_tutte) test_deletion_contraction_square_with_diagonal() (in module knotpy.invariants.tests.test_tutte) test_dict() (in module knotpy.utils.test.test_dict) test_disjoint_sum() (in module knotpy.algorithms.tests.test_disjoint_sum) (in module knotpy.algorithms.tests.test_sums) test_draw_bonded() (in module knotpy.drawing.tests.test_draw) test_draw_bridges() (in module knotpy.drawing.tests.test_draw) test_draw_knot() (in module knotpy.drawing.tests.test_draw) test_draw_knotoid() (in module knotpy.drawing.tests.test_draw) test_draw_theta() (in module knotpy.drawing.tests.test_draw) test_dsu() (in module knotpy.utils.test.test_dsu) test_faces() (in module knotpy.classes.tests.test_faces) test_find_cut_sets() (in module knotpy.algorithms.tests.test_cut_set) test_freeze() (in module knotpy.classes.tests.test_freezing) test_from_plantri() (in module knotpy.notation.tests.test_plantri) test_get_knot_from_name() (in module knotpy.catalog.tests.test_get_knot_by_names) test_get_knots() (in module knotpy.catalog.tests.test_knots) test_homflypt() (in module knotpy.invariants.tests.test_homflypt) test_hopf() (in module knotpy.classes.tests.test_faces) test_insert_attr() (in module knotpy.manipulation.tests.test_insert) test_jones() (in module knotpy.invariants.tests.test_jones) test_knot_name() (in module knotpy.classes.tests.test_init) test_lazy_eval() (in module knotpy.utils.test.test_lazy_dict) test_lazy_load() (in module knotpy.utils.test.test_lazy_dict)

test_lazy_load_eval() (in module knotpy.utils.test.test_lazy_dict) test_leveled_set() (in module knotpy.utils.test.test_set_utils) test_module() (in module knotpy.utils.test.test_module) test_native_notation_from() (in module knotpy.notation.tests.test_notation) test_native_notation_to() (in module knotpy.notation.tests.test_notation) test_native_notation_to_from() (in module knotpy.notation.tests.test_notation) test_number_of_link_components() (in module knotpy.algorithms.tests.test_component_links) test_order_2() (in module knotpy.algorithms.tests.test_cut_set) test_orientation() (in module knotpy.algorithms.tests.test_orientation) test_read() (in module knotpy.catalog.tests.test_load_save_diagrams) test_read_write_diagram() (in module knotpy.catalog.tests.test_load_save_diagrams) test_read_write_diagram_sets() (in module knotpy.catalog.tests.test_load_save_diagrams) test_remove_bivalent_vertex() (in module knotpy.classes.tests.test_nodes) test_remove_edge() (in module knotpy.manipulation.tests.test_remove) test_save_diagram_table() (in module knotpy.catalog.tests.test_knot_table_invariants) test_skein() (in module knotpy.algorithms.tests.test_skein) test_tangle_63() (in module knotpy.algorithms.tests.test_tangles) test_thetas_recursive() (in module knotpy.invariants.tests.test_yamada) test_thetas_sums() (in module knotpy.drawing.tests.test_draw) test_universal_list_of_lists_parser() (in module knotpy.utils.test.test_parser) test_unknots() (in module knotpy.algorithms.tests.test_disjoint_sum) test_value_partitioner() (in module knotpy.utils.test.test_value_partitioner) test_yamada_examples_from_paper() (in module knotpy.invariants.tests.test_yamada) test_yamada_moriuchi() (in module knotpy.invariants.tests.test_yamada) test_yamada_reidemeister() (in module knotpy.invariants.tests.test_yamada) testgrid() (in module knotpy.drawing.circlepack) theta() (in module knotpy.catalog.knot_tables) theta_curve() (in module knotpy.catalog.graphs) thetas() (in module knotpy.catalog.knot_tables) to_color() (in module knotpy.drawing.draw_matplotlib) to_condensed_em_notation() (in module knotpy.notation.em) to_condensed_pd_notation() (in module knotpy.notation.pd) to_dict() (DisjointSetUnion method) to_dt_notation() (in module knotpy.notation.dt) to_em_notation() (in module knotpy.notation.em) to_knotpy_notation() (in module knotpy.notation.native) to_notation_dispatcher() (in module knotpy.notation.dispatcher) to_pd_notation() (in module knotpy.notation.pd) to_plantri_notation() (in module knotpy.notation.plantri) to_zigzag() (in module knotpy.drawing.draw_tangle) total_ordering_from_compare() (in module knotpy.utils.decorators) trefoil_knot() (in module knotpy.catalog.example) trefoil_theta() (in module knotpy.catalog.example) tutte_layout() (in module knotpy.drawing.tutte_layout) tutte_polynomial() (in module knotpy.invariants.tutte) twin() (OrientedPlanarDiagram method) (PlanarDiagram method)

U

unfreeze() (in module knotpy.classes.freezing) union() (DisjointSetUnion method) (in module knotpy.utils.combinatorics) (LeveledSet method) unique_new_node_name() (in module knotpy.algorithms.naming) universal_list_of_lists_parser() (in module knotpy.utils.parsing)

unorient() (in module knotpy.algorithms.orientation) update() (Cache method) (ClassifierDict method) (identitydict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method)

V

values() (ArcView method) (Cache method) (ClassifierDict method) (EndpointView method) (FaceView method) (FilteredNodeView method) (identitydict method) (LazyEvalDict method) (LazyLoadDict method) (LazyLoadEvalDict method) (NodeView method)

vertices (OrientedPlanarDiagram property) (PlanarDiagram property) vertices_to_crossings() (in module knotpy.classes.convert) virtual_crossings (OrientedPlanarDiagram property) (PlanarDiagram property)

W

weighted_circle_center_mean() (in module knotpy.utils.geometry) wheel_graph() (in module knotpy.catalog.graphs)

write_diagram() (DiagramWriter method) write_diagram_set() (DiagramSetWriter method) write_diagrams() (DiagramWriter method)

Y

yamada_polynomial() (in module knotpy.invariants.yamada)

Z

ZigZag (class in knotpy.drawing.draw_tangle)