SOLUTIONS

GRAPH UTILITIES PACKAGE SYMBOL
CommunityModularity
gives the community modularity of a partition.
gives the community modularity of an assignment.
DetailsDetails
 To use , you first need to load the Graph Utilities Package using Needs["GraphUtilities`"].
 A community in a network is a group of vertices such that there is a higher density of edges within the group than between them.
 Given a graph , let the vertex set be partitioned into subsets such that each subset belongs to one community. The community modularity of this partition is defined as , where is the percentage of edges that have both ends in community , and is the percentage of edges that start from community . In other words, and .
 The community modularity is a number less than or equal to 1. A large positive value indicates that the vertex partition gives significant community structure.
 The following option can be given:

Weighted False whether edges with higher weights are preferred during matching
Mathematica 9 is now available!
New to Mathematica?
Find your learning path »
Have a question?
Ask support »