GraphUtilities`

CommunityStructurePartition

As of Version 10, all the functionality of the GraphUtilities package is built into the Wolfram System. »

CommunityStructurePartition[g]

gives the partition of a graph g into communities.

Details and Options

CommunityStructurePartition functionality is now available in the built-in Wolfram Language function FindGraphCommunities.
To use CommunityStructurePartition, you first need to load the Graph Utilities Package using Needs["GraphUtilities`"].
The partition groups the vertices into communities, such that there is a higher density of edges within communities than between them.
The following option can be given:
Weighted False whether edges with higher weights are preferred during matching

open allclose all

This defines a small graph:

This finds that the network is grouped into two communities:

CommunityStructurePartition has been superseded by FindGraphCommunities:

This specifies a weighted graph:

This plots the graph with edge weights shown:

This finds the community structure, ignoring edge weights:

This finds the community structure, taking into account the edge weights:

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