Wolfram Mathematica

Nearest Neighbor Graphs

Generate the nearest neighbor graph of a collection of arbitrary data with the new NearestNeighborGraph function in Version 11.

Construct the nearest neighbor graph for the countries of South America.

In[1]:=

locs = CountryData["SouthAmerica"]; coords = EntityValue[locs, "Position"][[All, 1, {2, 1}]];

In[2]:=

g = NearestNeighborGraph[locs, VertexCoordinates -> coords]

Out[2]=

Style the network atop the continent.

In[3]:=

opts = { PlotTheme -> "Web", Prolog -> {EdgeForm[Thin], LightGray, EntityValue[locs, "Polygon"]}, PlotRange -> Reverse[GeoBounds[locs]] };

In[4]:=

Graph[g, opts]

Out[4]=

Show the 3-nearest neighbor graph for a collection of random colors.

In[5]:=

colors = RandomColor[50]

Out[5]=

In[6]:=

NearestNeighborGraph[colors, 3, VertexShapeFunction -> "Name"]

Out[6]=