This function generates a random graph according to a model that
involves a latent variable. The construction is to randomly assign
members of the set M to the nodes, V. An edge is assigned
between two elements of V when they both have the same element
of M assigned to them. An object of class graphNEL is
returned.
Usage
randomGraph(V, M, p, weights=TRUE)
Arguments
V
The nodes of the graph.
M
A set of values used to generate the graph.
p
A value between 0 and 1 that indicates the probability of
selecting an element of M
weights
A logical indicating whether to use the number of
shared elements of M as weights.
The model is quite simple. To generate a graph, G, the user
supplies the list of nodes, V and a set of values M
which will be used to create the graph. For each node in V a
logical vector with length equal to the length of M is
generated. The probability of a TRUE at any position is
determined by p. Once valus from M have been assigned to
each node in V the result is processed into a graph. This is
done by creating an edge between any two elements of V that
share an element of M (as chosen by the selection process).
The sizes of V and M and the values of p
determine how dense the graph will be.