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Everything about Modularity (networks)

Measure of network community structure

Modularity is a measure of the structure of networks or graphs which measures the strength of division of a network into modules. Networks with high modularity have dense connections between the nodes within modules but sparse connections between nodes in different modules. Modularity is often used in optimization methods for detecting community structure in networks. Biological networks, including animal brains, exhibit a high degree of modularity. However, modularity maximization is not statistically consistent, and finds communities in its own null model, i.e. fully random graphs, and therefore it cannot be used to find statistically significant community structures in empirical networks. Furthermore, it has been shown that modularity suffers a resolution limit and, therefore, it is unable to detect small communities. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Modularity (networks)A 5-minute orientation
  2. Skim a recent paper: Modularity-based approach for tracking communities in dynamic social networksInfluential work since 2022
  3. Pick up a classic book: Networks in cell biologyThe most-reprinted book on the subject
  4. Read the landmark paper: Modularity and community structure in networksCited 10,452 times
  5. Go sideways: Configuration modelA closely related topic
  6. Go sideways: Watts–Strogatz modelA closely related topic

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