Module Rand.Make

Random graphs

Parameters

module B : Builder.INT

Signature

type graph = B.G.t
type vertex = B.G.V.t
type edge_label = B.G.E.label
val graph : ?loops:bool -> v:int -> e:int -> unit -> graph

graph v e generates a random graph with exactly v vertices and e edges. Vertices are labeled with 0 ... v-1. The boolean loops indicates whether loops are allowed; default value is no loop (false).

  • raises Invalid_argument

    if e exceeds the maximal number of edges.

val labeled : (vertex -> vertex -> edge_label) -> ?loops:bool -> v:int -> e:int -> unit -> graph

labeled f is similar to graph except that edges are labeled using function f.

  • raises Invalid_argument

    if there are too many edges.

The two functions above actually make a choice between two different implementations according to the ratio e/(v*v). When this ratio is small, random_few_edges is selected; otherwise random_many_edges is selected.

val random_few_edges : loops:bool -> v:int -> e:int -> graph
val random_many_edges : loops:bool -> v:int -> e:int -> graph
val gnp : ?loops:bool -> v:int -> prob:float -> unit -> graph

random graph using the G(n,p) model. gnp v prob generates a random graph with exactly v vertices and where each edge is selected with probability prob

val gnp_labeled : (vertex -> vertex -> edge_label) -> ?loops:bool -> v:int -> prob:float -> unit -> graph

gnp_labeled add_edge v e is similar to gnp except that edges are labeled using function f.