A nearest neighbor graph for integers in the range 1 to 10:

Generate the 2-nearest neighbor graph:

Generate the at most 3-nearest neighbor graph within radius 2:

Generate the nearest neighbor graph within radius 3:

A nearest neighbor graph for two-dimensional numerical data:

Three-dimensional dataset:

A nearest neighbor graph for a set of Boolean data:

Generate the nearest geodesic distance neighbor graph:

Generate the 2-nearest strings neighbor graph:

Generate the 2-nearest images neighbor graph:

Generate the 2-nearest colors neighbor graph:

By default, EuclideanDistance is used for numerical data:

EditDistance is used for strings:

GeoDistance is used for geo positions:

JaccardDissimilarity is used for Boolean data:

ColorDistance is used for colors:

ImageDistance is used for images:

The DistanceFunction can be given as a symbol:

Or as a pure function:

Compare different methods for machine-precision data:

In three dimensions, the "KDtree" method is faster:

In 20 dimensions, a simple scan is faster:

Using WorkingPrecision->MachinePrecision ensures the fastest evaluation method is used:

Specify an annotation for vertices:

Edges:

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:

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 a weight for all edges:

Use any numeric expression as a weight:

Highlight the vertex 1:

Highlight the edge 23:

Highlight vertices and edges:

Get a list of built-in settings for GraphHighlightStyle:

Use built-in settings for GraphHighlightStyle:

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 Placed to control formatting including Tooltip:

Or StatusArea:

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 "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 has higher priority than 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:

Fixed-radius near neighbors:

-approximate nearest neighbor search:

Farthest neighbor graphs:

Generate a spatial random graph within radius 0.2:

Simplification of point-sample surfaces:

Search nearest image neighbors:

Search the dictionary neighbors: