randomUniformHyperGraph -- returns a random uniform hypergraph

Synopsis

Usage:
H = randomUniformHyperGraph(R,c,d)
Inputs:
- R, a polynomial ring, which gives the vertex set of H
- c, an integer, the cardinality of the edge sets
- d, an integer, the number of edges in H
Outputs:
- H, a hypergraph, a hypergraph with d edges of cardinality c on vertex set determined by R

Description

This function allows one to create a uniform hypergraph on an underlying vertex set with a given number of randomly chosen edges of given cardinality.

i1 : R = QQ[x_1..x_9];

i2 : randomUniformHyperGraph(R,3,4)

o2 = HyperGraph{edges => {{x , x , x }, {x , x , x }, {x , x , x }, {x , x , x }}}
                            1   4   9     3   6   8     2   4   5     4   6   8
                ring => R
                vertices => {x , x , x , x , x , x , x , x , x }
                              1   2   3   4   5   6   7   8   9

o2 : HyperGraph

i3 : randomUniformHyperGraph(R,4,2)

o3 = HyperGraph{edges => {{x , x , x , x }, {x , x , x , x }}   }
                            3   4   7   8     1   3   6   9
                ring => R
                vertices => {x , x , x , x , x , x , x , x , x }
                              1   2   3   4   5   6   7   8   9

o3 : HyperGraph

Ways to use `randomUniformHyperGraph` :

randomUniformHyperGraph(PolynomialRing,ZZ,ZZ)

randomUniformHyperGraph -- returns a random uniform hypergraph

Synopsis

Description

See also

Ways to use randomUniformHyperGraph :

Ways to use `randomUniformHyperGraph` :