GenericGraph#

Qualified name: manim.mobject.graph.GenericGraph

class GenericGraph(vertices, edges, labels=False, label_fill_color=ManimColor('#000000'), layout='spring', layout_scale=2, layout_config=None, vertex_type=<class 'manim.mobject.geometry.arc.Dot'>, vertex_config=None, vertex_mobjects=None, edge_type=<class 'manim.mobject.geometry.line.Line'>, partitions=None, root_vertex=None, edge_config=None)[source]#

Bases: VMobject

Abstract base class for graphs (that is, a collection of vertices connected with edges).

Graphs can be instantiated by passing both a list of (distinct, hashable) vertex names, together with list of edges (as tuples of vertex names). See the examples for concrete implementations of this class for details.

Note

This implementation uses updaters to make the edges move with the vertices.

See also

Graph, DiGraph

Parameters:

vertices (list[Hashable]) – A list of vertices. Must be hashable elements.
edges (list[tuple[Hashable, Hashable]]) – A list of edges, specified as tuples (u, v) where both u and v are vertices.
labels (bool | dict) – Controls whether or not vertices are labeled. If False (the default), the vertices are not labeled; if True they are labeled using their names (as specified in vertices) via MathTex. Alternatively, custom labels can be specified by passing a dictionary whose keys are the vertices, and whose values are the corresponding vertex labels (rendered via, e.g., Text or Tex).
label_fill_color (str) – Sets the fill color of the default labels generated when labels is set to True. Has no effect for other values of labels.
layout (str | dict) – Either one of "spring" (the default), "circular", "kamada_kawai", "planar", "random", "shell", "spectral", "spiral", "tree", and "partite" for automatic vertex positioning using networkx (see their documentation for more details), or a dictionary specifying a coordinate (value) for each vertex (key) for manual positioning.
layout_config (dict | None) – Only for automatically generated layouts. A dictionary whose entries are passed as keyword arguments to the automatic layout algorithm specified via layout of``networkx``. The tree layout also accepts a special parameter vertex_spacing passed as a keyword argument inside the layout_config dictionary. Passing a tuple (space_x, space_y) as this argument overrides the value of layout_scale and ensures that vertices are arranged in a way such that the centers of siblings in the same layer are at least space_x units apart horizontally, and neighboring layers are spaced space_y units vertically.
layout_scale (float | tuple) – The scale of automatically generated layouts: the vertices will be arranged such that the coordinates are located within the interval [-scale, scale]. Some layouts accept a tuple (scale_x, scale_y) causing the first coordinate to be in the interval [-scale_x, scale_x], and the second in [-scale_y, scale_y]. Default: 2.
vertex_type (type[Mobject]) – The mobject class used for displaying vertices in the scene.
vertex_config (dict | None) – Either a dictionary containing keyword arguments to be passed to the class specified via vertex_type, or a dictionary whose keys are the vertices, and whose values are dictionaries containing keyword arguments for the mobject related to the corresponding vertex.
vertex_mobjects (dict | None) – A dictionary whose keys are the vertices, and whose values are mobjects to be used as vertices. Passing vertices here overrides all other configuration options for a vertex.
edge_type (type[Mobject]) – The mobject class used for displaying edges in the scene.
edge_config (dict | None) – Either a dictionary containing keyword arguments to be passed to the class specified via edge_type, or a dictionary whose keys are the edges, and whose values are dictionaries containing keyword arguments for the mobject related to the corresponding edge.
partitions (list[list[Hashable]] | None) –
root_vertex (Hashable | None) –

Methods

`add_edges`	Add new edges to the graph.
`add_vertices`	Add a list of vertices to the graph.
`change_layout`	Change the layout of this graph.
`from_networkx`	Build a `Graph` or `DiGraph` from a given `networkx` graph.
`remove_edges`	Remove several edges from the graph.
`remove_vertices`	Remove several vertices from the graph.

Attributes

`animate`	Used to animate the application of any method of `self`.
`animation_overrides`
`color`
`depth`	The depth of the mobject.
`fill_color`	If there are multiple colors (for gradient) this returns the first one
`height`	The height of the mobject.
`n_points_per_curve`
`sheen_factor`
`stroke_color`
`width`	The width of the mobject.

_add_edge(edge, edge_type=<class 'manim.mobject.geometry.line.Line'>, edge_config=None)[source]#

Add a new edge to the graph.

Parameters:

edge (tuple[Hashable, Hashable]) – The edge (as a tuple of vertex identifiers) to be added. If a non-existing vertex is passed, a new vertex with default settings will be created. Create new vertices yourself beforehand to customize them.
edge_type (type[manim.mobject.mobject.Mobject]) – The mobject class used for displaying edges in the scene.
edge_config (dict | None) – A dictionary containing keyword arguments to be passed to the class specified via edge_type.

Returns:

A group containing all newly added vertices and edges.

Return type:

Group

_add_vertex(vertex, position=None, label=False, label_fill_color=ManimColor('#000000'), vertex_type=<class 'manim.mobject.geometry.arc.Dot'>, vertex_config=None, vertex_mobject=None)[source]#

Add a vertex to the graph.

Parameters:

vertex (Hashable) – A hashable vertex identifier.
position (numpy.ndarray | None) – The coordinates where the new vertex should be added. If None, the center of the graph is used.
label (bool) – Controls whether or not the vertex is labeled. If False (the default), the vertex is not labeled; if True it is labeled using its names (as specified in vertex) via MathTex. Alternatively, any Mobject can be passed to be used as the label.
label_fill_color (str) – Sets the fill color of the default labels generated when labels is set to True. Has no effect for other values of label.
vertex_type (type[manim.mobject.mobject.Mobject]) – The mobject class used for displaying vertices in the scene.
vertex_config (dict | None) – A dictionary containing keyword arguments to be passed to the class specified via vertex_type.
vertex_mobject (dict | None) – The mobject to be used as the vertex. Overrides all other vertex customization options.

Return type:

Mobject

static _empty_networkx_graph()[source]#: Return an empty networkx graph for the given graph type.

_original__init__(vertices, edges, labels=False, label_fill_color=ManimColor('#000000'), layout='spring', layout_scale=2, layout_config=None, vertex_type=<class 'manim.mobject.geometry.arc.Dot'>, vertex_config=None, vertex_mobjects=None, edge_type=<class 'manim.mobject.geometry.line.Line'>, partitions=None, root_vertex=None, edge_config=None)#

Initialize self. See help(type(self)) for accurate signature.

Parameters:

vertices (list[Hashable]) –
edges (list[tuple[Hashable, Hashable]]) –
labels (bool | dict) –
label_fill_color (str) –
layout (str | dict) –
layout_scale (float | tuple) –
layout_config (dict | None) –
vertex_type (type[manim.mobject.mobject.Mobject]) –
vertex_config (dict | None) –
vertex_mobjects (dict | None) –
edge_type (type[manim.mobject.mobject.Mobject]) –
partitions (list[list[Hashable]] | None) –
root_vertex (Optional[Hashable]) –
edge_config (dict | None) –

Return type:

None

_populate_edge_dict(edges, edge_type)[source]#

Helper method for populating the edges of the graph.

Parameters:

edges (list[tuple[Hashable, Hashable]]) –
edge_type (type[manim.mobject.mobject.Mobject]) –

_remove_edge(edge)[source]#

Remove an edge from the graph.

Parameters:: edge (tuple[Hashable]) – The edge (i.e., a tuple of vertex identifiers) to be removed from the graph.
Returns:: The removed edge.
Return type:: Mobject

_remove_vertex(vertex)[source]#

Remove a vertex (as well as all incident edges) from the graph.

Parameters:: vertex – The identifier of a vertex to be removed.
Returns:: A mobject containing all removed objects.
Return type:: Group

add_edges(*edges, edge_type=<class 'manim.mobject.geometry.line.Line'>, edge_config=None, **kwargs)[source]#

Add new edges to the graph.

Parameters:

edges (tuple[Hashable, Hashable]) – Edges (as tuples of vertex identifiers) to be added. If a non-existing vertex is passed, a new vertex with default settings will be created. Create new vertices yourself beforehand to customize them.
edge_type (type[manim.mobject.mobject.Mobject]) – The mobject class used for displaying edges in the scene.
edge_config (dict | None) – A dictionary either containing keyword arguments to be passed to the class specified via edge_type, or a dictionary whose keys are the edge tuples, and whose values are dictionaries containing keyword arguments to be passed for the construction of the corresponding edge.
kwargs – Any further keyword arguments are passed to add_vertices() which is used to create new vertices in the passed edges.

Returns:

A group containing all newly added vertices and edges.

Return type:

Group

add_vertices(*vertices, positions=None, labels=False, label_fill_color=ManimColor('#000000'), vertex_type=<class 'manim.mobject.geometry.arc.Dot'>, vertex_config=None, vertex_mobjects=None)[source]#

Add a list of vertices to the graph.

Parameters:

vertices (Hashable) – Hashable vertex identifiers.
positions (dict | None) – A dictionary specifying the coordinates where the new vertices should be added. If None, all vertices are created at the center of the graph.
labels (bool) – Controls whether or not the vertex is labeled. If False (the default), the vertex is not labeled; if True it is labeled using its names (as specified in vertex) via MathTex. Alternatively, any Mobject can be passed to be used as the label.
label_fill_color (str) – Sets the fill color of the default labels generated when labels is set to True. Has no effect for other values of labels.
vertex_type (type[manim.mobject.mobject.Mobject]) – The mobject class used for displaying vertices in the scene.
vertex_config (dict | None) – A dictionary containing keyword arguments to be passed to the class specified via vertex_type.
vertex_mobjects (dict | None) – A dictionary whose keys are the vertex identifiers, and whose values are mobjects that should be used as vertices. Overrides all other vertex customization options.
self (Graph) –

change_layout(layout='spring', layout_scale=2, layout_config=None, partitions=None, root_vertex=None)[source]#

Change the layout of this graph.

See the documentation of Graph for details about the keyword arguments.

Examples

Example: ChangeGraphLayout ¶

from manim import *

class ChangeGraphLayout(Scene):
    def construct(self):
        G = Graph([1, 2, 3, 4, 5], [(1, 2), (2, 3), (3, 4), (4, 5)],
                  layout={1: [-2, 0, 0], 2: [-1, 0, 0], 3: [0, 0, 0],
                          4: [1, 0, 0], 5: [2, 0, 0]}
                  )
        self.play(Create(G))
        self.play(G.animate.change_layout("circular"))
        self.wait()

class ChangeGraphLayout(Scene):
    def construct(self):
        G = Graph([1, 2, 3, 4, 5], [(1, 2), (2, 3), (3, 4), (4, 5)],
                  layout={1: [-2, 0, 0], 2: [-1, 0, 0], 3: [0, 0, 0],
                          4: [1, 0, 0], 5: [2, 0, 0]}
                  )
        self.play(Create(G))
        self.play(G.animate.change_layout("circular"))
        self.wait()

Parameters:

layout (str | dict) –
layout_scale (float) –
layout_config (dict | None) –
partitions (list[list[Hashable]] | None) –
root_vertex (Optional[Hashable]) –

Return type:

Graph

classmethod from_networkx(nxgraph, **kwargs)[source]#

Build a Graph or DiGraph from a given networkx graph.

Parameters:

nxgraph (networkx.classes.graph.Graph | networkx.classes.digraph.DiGraph) – A networkx graph or digraph.
**kwargs – Keywords to be passed to the constructor of Graph.

Examples

Example: ImportNetworkxGraph ¶

from manim import *

import networkx as nx

nxgraph = nx.erdos_renyi_graph(14, 0.5)

class ImportNetworkxGraph(Scene):
    def construct(self):
        G = Graph.from_networkx(nxgraph, layout="spring", layout_scale=3.5)
        self.play(Create(G))
        self.play(*[G[v].animate.move_to(5*RIGHT*np.cos(ind/7 * PI) +
                                         3*UP*np.sin(ind/7 * PI))
                    for ind, v in enumerate(G.vertices)])
        self.play(Uncreate(G))

import networkx as nx

nxgraph = nx.erdos_renyi_graph(14, 0.5)

class ImportNetworkxGraph(Scene):
    def construct(self):
        G = Graph.from_networkx(nxgraph, layout="spring", layout_scale=3.5)
        self.play(Create(G))
        self.play(*[G[v].animate.move_to(5*RIGHT*np.cos(ind/7 * PI) +
                                         3*UP*np.sin(ind/7 * PI))
                    for ind, v in enumerate(G.vertices)])
        self.play(Uncreate(G))

remove_edges(*edges)[source]#

Remove several edges from the graph.

Parameters:: edges (tuple[Hashable]) – Edges to be removed from the graph.
Returns:: A group containing all removed edges.
Return type:: Group

remove_vertices(*vertices)[source]#

Remove several vertices from the graph.

Parameters:: vertices – Vertices to be removed from the graph.

Examples

>>> G = Graph([1, 2, 3], [(1, 2), (2, 3)])
>>> removed = G.remove_vertices(2, 3); removed
VGroup(Line, Line, Dot, Dot)
>>> G
Undirected graph on 1 vertices and 0 edges