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

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

o3 : HyperGraph

See also

• randomGraph -- returns a random graph
• randomHyperGraph -- returns a random hypergraph
• Constructor Overview -- a summary of the many ways of making graphs and hypergraphs