This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# TreeGraph

 TreeGraph yields a tree where is the predecessor of . TreeGraphyields a tree with edges . TreeGraphyields a tree with vertices and edges . TreeGraphyields a tree with vertex and edge properties defined by the symbolic wrappers .
• TreeGraph supports the same vertices, edges, wrappers, and options as Graph.
• A tree is a connected graph with no cycles.
A tree from pairs of children and parents:
A tree from a list of vertices and edges:
A tree from pairs of children and parents:
 Out[1]=
A tree from a list of vertices and edges:
 Out[2]=
 Scope   (25)
Create an undirected graph using characters; enter the character as Esc ue Esc:
Create a directed graph using characters; enter the character as Esc de Esc:
Create a directed graph from a list of rules:
Create an undirected graph from a list of rules:
Use VertexList and EdgeList to get vertices and edges:
The ordering for edges is the order in which they were entered:
The ordering for vertices is the order in which they were entered in the edges:
Use an explicit vertex list to control the ordering used by VertexList:
The input vertex list controls the resulting vertex order:
Any expression can be used as vertices:
Use wrappers on vertices or edges:
Wrappers can be nested:
Add interactive behavior by wrappers such as Tooltip:
Any object can be used in the tooltip:
Use Button to trigger actions when clicking an edge or vertex:
Use PopupWindow to provide information drilldown:
Set the style for all vertices or edges:
Style individual vertices or edges using options:
Use wrappers for individual styling:
Adjust the size of vertices using symbolic sizes:
Or use sizes in terms of the smallest distance between vertex centers:
Use built-in collections for VertexShapeFunction:
Rounded shapes:
Concave shapes:
Draw individual vertices:
Combine with a default vertex function:
Use any Graphics, Image, or Graphics3D as a vertex shape:
Use built-in collections for EdgeShapeFunction:
Directed edges including solid arrows:
Line arrows:
Open arrows:
Specify an edge function for an individual edge:
Combine with a different default edge function:
Label any edge or vertex:
Use any expression as a label:
Control the placement of vertex labels using Placed, including symbolic inside positions:
Symbolic outside positions:
Coordinate-based positions:
Place multiple labels using Placed in a wrapper:
Any number of labels can be used:
Place multiple labels using VertexLabels:
Use Placed with symbolic locations to control label placement along an edge:
Use explicit coordinates to place labels:
Place multiple labels using Placed in a wrapper:
Any number of labels can be used:
Place multiple labels using EdgeLabels:
 Options   (80)
By default a directed tree is generated when giving a list of rules:
Use DirectedEdges->False to interpret rules as undirected edges:
Use DirectedEdge or UndirectedEdge to directly specify whether a graph is directed or not:
Label the edge :
Label all edges:
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:
Specify the weight for all edges:
Use any numeric expression as a weight:
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:
Highlight the vertex :
Highlight the edge :
Highlight vertices and edges:
Get a list of built-in settings for GraphHighlightStyle:
Use built-in settings for GraphHighlightStyle:
Get a list of built-in settings for GraphStyle:
Use built-in settings for GraphStyle:
Specify a property for vertices:
Edges:
Graph itself:
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 using Placed in a wrapper:
Any number of labels can be used:
Place multiple labels using VertexLabels:
Use the argument to Placed to control formatting including Tooltip:
Use more elaborate formatting functions:
Use any Graphics, Image, or Graphics3D as a vertex shape:
Specify vertex shapes for individual vertices:
VertexShape can be combined with VertexSize:
VertexShape is not affected by VertexStyle:
VertexShapeFunction has higher priority than VertexShape:
Get a list of built-in collections for VertexShapeFunction:
Use built-in settings for VertexShapeFunction in the collection:
Simple basic shapes:
Common basic shapes:
Use built-in settings for VertexShapeFunction in the collection:
Use built-in settings for VertexShapeFunction in the 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:
VertexSize can be combined with VertexShape:
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:
VertexShape is not affected by VertexStyle:
Set the weight for all vertices:
Use any numeric expression as a weight:
 Applications   (4)
Generate a random tree:
Highlight the GraphCenter and GraphPeriphery:
Highlight the vertex eccentricity path: