TreeGraph
TreeGraph[{v1,v2,…},{u1,u2,…}]
yields a tree where ui is the predecessor of vi.
TreeGraph[{e1,e2,…}]
yields a tree with edges ej.
TreeGraph[{v1,v2,…},{e1,e2,…}]
yields a tree with vertices vi and edges ej.
TreeGraph[{…,wi[vi,…],…},{…,wj[ej,…],…}]
yields a tree with vertex and edge properties defined by the symbolic wrappers wk.
TreeGraph[{vivj,…}]
uses rules vivj to specify a tree.
Examples
open allclose allBasic Examples (1)
Scope (25)
Connectivity (6)
Create an undirected graph using characters; enter the character as ue
:
Create a directed graph using characters; enter the character as de
:
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:
Wrappers (5)
Use wrappers on vertices or edges:
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:
Styling (8)
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:
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:
Labeling (6)
Use any expression as a label:
Control the placement of vertex labels using Placed, including symbolic inside 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 (82)
DirectedEdges (2)
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:
EdgeLabels (7)
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:
EdgeShapeFunction (6)
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:
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:
GraphHighlightStyle (2)
Get a list of built-in settings for GraphHighlightStyle:
Use built-in settings for GraphHighlightStyle:
GraphLayout (5)
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:
PlotTheme (4)
VertexCoordinates (3)
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:
VertexLabels (13)
Use any expression as a label:
Use Placed with symbolic locations to control label placement, including outside positions:
Symbolic outside corner 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:
Or StatusArea:
VertexShape (5)
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:
VertexShapeFunction (10)
Get a list of built-in collections for VertexShapeFunction:
Use built-in settings for VertexShapeFunction in the "Basic" collection:
Use built-in settings for VertexShapeFunction in the "Rounded" collection:
Use built-in settings for VertexShapeFunction in the "Concave" collection:
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:
VertexSize (8)
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:
VertexStyle (5)
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:
Applications (4)
Highlight the GraphCenter and GraphPeriphery:
The VertexEccentricity:
Highlight the vertex eccentricity path:
The GraphRadius:
The GraphDiameter:
Properties & Relations (9)
Use VertexCount and EdgeCount to count vertices and edges:
Use VertexList and EdgeList to enumerate vertices and edges in standard order:
Edges and vertices are given in the order they are input:
Compute the AdjacencyMatrix from a graph:
A tree graph does not have any loops or cycles:
A tree graph with vertices has
edges:
A tree graph is a bipartite graph:
A tree graph with vertices with
has at least two and at most
vertices of degree 1:
Text
Wolfram Research (2010), TreeGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/TreeGraph.html (updated 2015).
CMS
Wolfram Language. 2010. "TreeGraph." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2015. https://reference.wolfram.com/language/ref/TreeGraph.html.
APA
Wolfram Language. (2010). TreeGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/TreeGraph.html