Triadic Closure & Network Evolution

Triadic closure — "friends of friends become friends" — drives clustering coefficient growth. Granovetter's weak ties bridge clusters. Watch open triangles close as the network rewires over time.

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Clustering C
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Edges
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Triangles
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Weak ties

Controls

Theory

Clustering coeff:
C = 3·triangles / paths-of-2

Triadic closure:
If i—j and j—k exist,
then i—k forms w/ prob p

Granovetter 1973:
Weak ties = bridges
Strong ties = triangles

Watts-Strogatz 1998:
High C, low L → small world