Local Transitivity (Clustering Coefficient)

Proportion of triangles around each node relative to the number of possible triangles. Measures how tightly clustered a node's neighborhood is.

Usage

centrality_transitivity(x, transitivity_type = "local", isolates = "nan", ...)

Arguments

x

Network input (matrix, igraph, network, cograph_network, tna object).

transitivity_type

Type of transitivity: "local" (default), "global", "undirected", "localundirected", "barrat" (weighted), "weighted", or "onnela". "onnela" computes the Onnela / Holme weighted clustering coefficient on the symmetrized matrix and matches tna::centralities(., "Clustering") byte-for-byte. Auto-set to "onnela" when tna_network = TRUE (passed via ...) and the user did not pass an explicit value.

isolates

How to handle isolate nodes: "nan" (default) or "zero".

...

Additional arguments passed to centrality (e.g., weighted, directed).

Value

Named numeric vector of transitivity values.

See also

centrality for computing multiple measures at once.

Examples

adj <- matrix(c(0, 1, 1, 1, 0, 1, 1, 1, 0), 3, 3)
rownames(adj) <- colnames(adj) <- c("A", "B", "C")
centrality_transitivity(adj)
#> A B C 
#> 1 1 1