Specify an annotation for vertices:

Edges:

Graph itself:

By default, an undirected graph is generated:

Use DirectedEdges->True to generate a directed graph:

Label the edge 12:

Label all edges individually:

Use any expression as a label:

Use Placed with symbolic locations to control label placement along an edge:

Use explicit coordinates to place labels:

Vary positions within the label:

Place multiple labels using Placed in a wrapper:

Any number of labels can be used:

Place multiple labels using EdgeLabels :

Use automatic labeling by values through Tooltip and StatusArea :

Get a list of built-in settings for EdgeShapeFunction :

Undirected edges including the basic line:

Lines with different glyphs on the edges:

Directed edges including solid arrows:

Line arrows:

Open arrows:

Specify an edge function for an individual edge:

Combine with a different default edge function:

Draw edges by running a program:

EdgeShapeFunction can be combined with EdgeStyle :

EdgeShapeFunction has higher priority than EdgeStyle :

Style all edges:

Style individual edges:

EdgeStyle can be combined with EdgeShapeFunction :

EdgeShapeFunction has higher priority than EdgeStyle :

EdgeStyle can be combined with BaseStyle :

EdgeStyle has higher priority than BaseStyle :

Specify a weight for all edges:

Use any numeric expression as a weight:

Specify weights for individual edges:

Highlight the vertex 1:

Highlight the edge 12:

Highlight vertices and edges:

By default, the layout is chosen automatically:

Specify layouts on special curves:

Specify layouts that satisfy optimality criteria:

VertexCoordinates overrides GraphLayout coordinates:

Use AbsoluteOptions to extract VertexCoordinates computed using a layout algorithm:

By default, any vertex coordinates are computed automatically:

Extract the resulting vertex coordinates using AbsoluteOptions :

Specify a layout function along an ellipse:

Use it to generate vertex coordinates for a graph:

VertexCoordinates has higher priority than GraphLayout :

Use vertex names as labels:

Label individual vertices:

Label all vertices:

Use any expression as a label:

Use Placed with symbolic locations to control label placement, including outside positions:

Symbolic outside corner positions:

Symbolic inside positions:

Symbolic inside corner positions:

Use explicit coordinates to place the center of labels:

Place all labels at the upper-right corner of the vertex and vary the coordinates within the label:

Place multiple labels:

Any number of labels can be used:

Use the argument to Placed to control formatting including Tooltip :

Or StatusArea :

Use more elaborate formatting functions:

Get a list of built-in collections for VertexShapeFunction :

Use built-in settings for VertexShapeFunction in the "Basic" collection:

Simple basic shapes:

Common basic shapes:

Use built-in settings for VertexShapeFunction in the "Rounded" collection:

Use built-in settings for VertexShapeFunction in the "Concave" collection:

Draw individual vertices:

Combine with a default vertex function:

Draw vertices using a predefined graphic:

Draw vertices by running a program:

VertexShapeFunction can be combined with VertexStyle :

VertexShapeFunction has higher priority than VertexStyle :

VertexShapeFunction can be combined with VertexSize :

VertexShapeFunction has higher priority than VertexShape :

By default, the size of vertices is computed automatically:

Specify the size of all vertices using symbolic vertex size:

Use a fraction of the minimum distance between vertex coordinates:

Use a fraction of the overall diagonal for all vertex coordinates:

Specify size in both the and directions:

Specify the size for individual vertices:

VertexSize can be combined with VertexShapeFunction :

Style all vertices:

Style individual vertices:

VertexShapeFunction can be combined with VertexStyle :

VertexShapeFunction has higher priority than VertexStyle :

VertexStyle can be combined with BaseStyle :

VertexStyle has higher priority than BaseStyle :

Set the weight for all vertices:

Specify the weight for individual vertices:

Use any numeric expression as a weight:

Visualize a buckyball graph:

Style vertices and edges of a buckyball graph:

Annotate vertices and edges of a buckyball graph:

Label a vertex:

Style an edge:

Modify a buckyball graph parameters:

Layout:

Edge style:

Generate a buckyball graph represented as a 2D plot:

Basic properties of the class 1 buckyball graph; the number of vertices:

The number of edges:

Basic properties of the class 2 buckyball graph; the number of vertices:

The number of edges:

Assign distinct colors to adjacent vertices of a buckyball graph:

Visualize the graph:

Assign distinct colors to adjacent edges of a buckyball graph:

Visualize the graph:

Find the shortest tour in a buckyball graph:

Highlight the tour:

Find a spanning tree in a buckyball graph:

Highlight the tour: