Overview of the GraphTheory[GeometricGraphs] Subpackage
Description
List of GraphTheory[GeometricGraphs] Subpackage Commands
Gallery of GraphTheory[GeometricGraphs]
The GraphTheory[GeometricGraphs] subpackage collects routines for generating graphs from geometric data, typically sets of points in 2 or 3 dimensions.
Some of these geometric graphs have well-known relationships with one another:
The Euclidean minimum spanning tree on P is a subgraph of the relative neighborhood graph on P.
The nearest neighbor graph on P is a subgraph of the Gabriel graph and the sphere of influence graph on P.
The relative neighborhood graph on P is a subgraph of the Urquhart graph on P.
The Urquhart graph on P is a subgraph of the Gabriel graph on P.
The Gabriel graph on P is a subgraph of the Delaunay graph on P.
The following is a list of geometric graphs that can be generated.
DelaunayGraph
EuclideanMinimumSpanningTree
FarthestNeighborGraph
GabrielGraph
GeometricMinimumSpanningTree
NearestNeighborGraph
RelativeNeighborhoodGraph
SphereOfInfluenceGraph
UnitDiskGraph
UrquhartGraph
VisibilityGraph
The following is a gallery of geometric graphs that can be generated.
Delaunay graph
Euclidean minimum spanning tree
Farthest neighbor graph
Gabriel graph
Geometric minimum spanning tree
Nearest neighbor graph
Relative neighborhood graph
Sphere of influence graph
Unit disk graph
Urquhart graph
Visibility graph
See Also
ComputationalGeometry
GraphTheory
GraphTheory[GeometricGraphs][RandomGeometricGraph]
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