A function to create random graphs according to a random edge model.
The user supplies the set of nodes for the graph as V and
either a probability, p, that is used for each edge or the
number of edges, edges they want to have in the resulting graph.
Usage
randomEGraph(V, p, edges)
Arguments
V
The nodes for the graph.
p
The probability of an edge being selected.
edges
The number of edges wanted.
Value
An object of class graphNEL-class that contains the nodes and
edges.
Details
The user must specify the set of nodes and either a probability for
edge selection or the number of edges wanted, but not both.
Let nV denote the
number of nodes. There are choose(nV, 2) edges in the complete
graph. If p is specified then a biased coin (probability of
heads being p) is tossed for each edge and if it is heads that
edge is selected. If edges is specified then that many edges
are sampled without replacement from the set of possible edges.