graph.density

0th

Percentile

Graph density

The density of a graph is the ratio of the number of edges and the number of possible edges.

Keywords
graphs
Usage
graph.density(graph, loops=FALSE)
Arguments
graph
The input graph.
loops
Logical constant, whether to allow loop edges in the graph. If this is TRUE then self loops are considered to be possible. If this is FALSE then we assume that the graph does not contain any loop edges and that loop edges are not meaningful.
Details

Note that this function may return strange results for graph with multiple edges, density is ill-defined for graphs with multiple edges.

Value

• A real constant. This function returns NaN (=0.0/0.0) for an empty graph with zero vertices.

Graph density

References

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

vcount, ecount, simplify to get rid of the multiple and/or loop edges.

Aliases
• graph.density
Examples
g1 <- graph.empty(n=10)
g2 <- graph.full(n=10)
g3 <- erdos.renyi.game(n=10, 0.4)

# loop edges
g <- graph( c(0,1, 1,1, 1,2) )
graph.density(g, loops=FALSE)              # this is wrong!!!
graph.density(g, loops=TRUE)               # this is right!!!
graph.density(simplify(g), loops=FALSE)    # this is also right, but different
Documentation reproduced from package igraph, version 0.5.5-3, License: GPL (>= 2)

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