network.density: Compute the Density of a Network

Description

network.density computes the density of its argument.

Usage

network.density(x, na.omit = TRUE, discount.bipartite = FALSE)

Value

The network density.

Arguments

x: an object of class network
na.omit: logical; omit missing edges from extant edges when assessing density?
discount.bipartite: logical; if x is bipartite, should “forbidden” edges be excluded from the count of potential edges?

Warning

network.density relies on network attributes (see network.indicators) to determine the properties of the underlying network object. If these are set incorrectly (e.g., multiple edges in a non-multiplex network, network coded with directed edges but set to “undirected”, etc.), surprising results may ensue.

Author

Carter T. Butts buttsc@uci.edu

Details

The density of a network is defined as the ratio of extant edges to potential edges. We do not currently consider edge values; missing edges are omitted from extent (but not potential) edge count when na.omit==TRUE.

References

Butts, C. T. (2008). “network: a Package for Managing Relational Data in R.” Journal of Statistical Software, 24(2). https://www.jstatsoft.org/v24/i02/

Wasserman, S. and Faust, K. (1994). Social Network Analysis: Methods and Applications. Cambridge: Cambridge University Press.

Examples

Run this code


#Create an arbitrary adjacency matrix
m<-matrix(rbinom(25,1,0.5),5,5)
diag(m)<-0

g<-network.initialize(5)    #Initialize the network
network.density(g)          #Calculate the density

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