Triadic closure

Triadic closure is a simple and effective mathematical model of homophily in a network. The basic idea is illustrated below:

open triad

Nodes 2 and 3 share a mutual
neighbor but are not adjacent.
closed triad

Adding edge {2,3} is then
an example of triadic closure.

Triadic closure usually occurs in the context of a larger graph. For example, in the graph below--considering only the solid black lines as edges--there are many possible opportunities for triadic closure. Just a few of those possible opportunities are illustrated with dotted red lines.

triads
 
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