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CommunityModularity—Wolfram Documentation

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

CommunityModularity[g,partition]

gives the community modularity of a partition.

CommunityModularity[g,assignment]

gives the community modularity of an assignment.

Examplesopen all close all Basic Examples (2)

This defines a small graph:

This gives the community modularity, assuming a partition {{1,2,3},{4,5,6}}:

CommunityModularity has been superseded by GraphAssortativity:

Options (1) Weighted (1)

This defines a graph with edge weights:

The community modularity of partition {{1,2},{3,4}}, ignoring edge weights:

The community modularity of partition {{1,2},{3,4}}, taking into account edge weights:

When taking into account edge weights, partition {{1,4},{2,3}} has higher community modularity:

Wolfram Research (2007), CommunityModularity, Wolfram Language function, https://reference.wolfram.com/language/GraphUtilities/ref/CommunityModularity.html. Text Wolfram Research (2007), CommunityModularity, Wolfram Language function, https://reference.wolfram.com/language/GraphUtilities/ref/CommunityModularity.html.CMS Wolfram Language. 2007. "CommunityModularity." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/GraphUtilities/ref/CommunityModularity.html.APA Wolfram Language. (2007). CommunityModularity. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/GraphUtilities/ref/CommunityModularity.htmlBibTeX @misc{reference.wolfram_2025_communitymodularity, author="Wolfram Research", title="{CommunityModularity}", year="2007", howpublished="\url{https://reference.wolfram.com/language/GraphUtilities/ref/CommunityModularity.html}", note=[Accessed: 17-August-2025]}BibLaTeX @online{reference.wolfram_2025_communitymodularity, organization={Wolfram Research}, title={CommunityModularity}, year={2007}, url={https://reference.wolfram.com/language/GraphUtilities/ref/CommunityModularity.html}, note=[Accessed: 17-August-2025]}

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