Sage Reference Manual: Graph Theory - Mirrors

Sage Reference Manual: Graph Theory, Release 6.1.1
•vertex_shape – default: ‘circle’ – a string for the shape of the vertices. Allowable values are
‘circle’, ‘sphere’, ‘rectangle’, ‘diamond’. The sphere shape has a 3D look to its coloring and is uses
only one color, that specified by vertex_color and vertex_colors, which are normally used
for the outline of the vertex.
•vertex_shapes – a dictionary whose keys are vertices of the graph and whose values are shapes.
See vertex_shape for the allowable possibilities.
•vertex_size– default: 1.0 – the minimum size of a vertex as a number. Vertices will expand to
contain their labels if the labels are placed inside the vertices. If you set this value to zero the vertex
will be as small as possible (up to tkz-graph’s “inner sep” parameter), while still containing labels.
However, if labels are not of a uniform size, then the verrices will not be either.
•vertex_sizes – a dictionary of sizes for some of the vertices.
•vertex_labels – default: True – a boolean to determine whether or not to display the vertex
labels. If False subsequent options about vertex labels are ignored.
•vertex_labels_math – default: True – when true, if a label is a string that begins and ends with
dollar signs, then the string will be rendered as a latex string. Otherwise, the label will be automatically
subjected to the latex() method and rendered accordingly. If False the label is rendered
as its textual representation according to the _repr method. Support for arbitrarily-complicated
mathematics is not especially robust.
•vertex_label_color – default: ‘black’ – a single color to use as the default for labels of vertices.
See the explanation above for the vertex_color option to see possible values.
•vertex_label_colors – a dictionary whose keys are vertices of the graph and whose values
are colors. These will be used for the text of the labels of vertices. See the explanation above for
the vertex_color option to see possible values. These values need only be specified for a proper
subset of the vertices. Specified values will supersede a default value.
•vertex_label_placement – default: ‘center’ – if ‘center’ the label is centered in the interior
of the vertex and the vertex will expand to contain the label. Giving instead a pair of numbers will
place the label exterior to the vertex at a certain distance from the edge, and at an angle to the positive
x-axis, similar in spirt to polar coordinates.
•vertex_label_placements – a dictionary of placements indexed by the vertices. See the explanation
for vertex_label_placement for the possible values.
•edge_color – default: ‘black’ – a single color to use as the default for an edge. See the explanation
above for the vertex_color option to see possible values.
•edge_colors – a dictionary whose keys are edges of the graph and whose values are colors. These
will be used to color the edges.See the explanation above for the vertex_color option to see
possible values. These values need only be specified for a proper subset of the vertices. Specified
values will supersede a default value.
•edge_fills – default: False – a boolean that determines if an edge has a second color running
down the middle. This can be a useful effect for highlighting edge crossings.
•edge_fill_color – default: ‘black’ – a single color to use as the default for the fill color of an
edge. The boolean switch edge_fills must be set to True for theis to have an effect. See the
explanation above for the vertex_color option to see possible values.
•edge__fill_colors – a dictionary whose keys are edges of the graph and whose values are
colors. See the explanation above for the vertex_color option to see possible values. These
values need only be specified for a proper subset of the vertices. Specified values will supersede a
default value.
5.19. LaTeX options for graphs 577