localtriangle-ergmTerm-8ca12415: Triangles within neighborhoods

In ergm: Fit, Simulate and Diagnose Exponential-Family Models for Networks

Triangles within neighborhoods

Description

This term adds one statistic to the model equal to the number of triangles in the network between nodes "close to" each other. For an undirected network, a local triangle is defined to be any set of three edges between nodal pairs \{(i,j), (j,k), (k,i)\} that are in the same neighborhood. For a directed network, a triangle is defined as any set of three edges (i{\rightarrow}j), (j{\rightarrow}k) and either (k{\rightarrow}i) or (k{\leftarrow}i) where again all nodes are within the same neighborhood.

Usage

# binary: localtriangle(x)

Arguments

x	an undirected network or an symmetric adjacency matrix that specifies whether the two nodes are in the same neighborhood. Note that triangle , with or without an argument, is a special case of localtriangle .

See Also

ergmTerm for index of model terms currently visible to the package.

\Sexpr[results=rd,stage=render]{ergm:::.formatTermKeywords("ergmTerm", "localtriangle", "subsection")}

ergm documentation built on Aug. 27, 2025, 9:08 a.m.