Math 2.0

Concept

Modular

Summary

Modular graph, a graph in which each triple of vertices has at least one median vertex that belongs to shortest paths between all pairs of the triple.

Modular decomposition, a decomposition of a graph into subgraphs within which all vertices connect to the rest of the graph in the same way.

Modularity of a graph clustering, the difference of the number of cross-cluster edges from its expected value.

Further reading

  1. Wikipedia, page 325802, revision 1373839425, Glossary of graph theory, section M. adopted
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