generate a random regular graph
positive integer or list of vertices
(optional) equation(s) of the form option=value where option is one of connected or seed
connected = truefalse
If specified, indicates that the generated graph should be connected.
seed = integer or none
Seed for the random number generator. When an integer is specified, this is equivalent to calling randomize(seed).
RandomRegularGraph(n,d) creates a d-regular undirected unweighted graph on n vertices. n and d cannot both be odd and d must satisfy d<n.
If the option connected is specified, the graph created will be connected. n and d must then satisfy n = 1 and d = 0, or n = 2 and d = 1, or n>2 and d>1 as well as the above.
For RandomRegularGraph(n,d,connected), a random tree with maximum degree≤d is first created.
For generating weighted graphs use weights = f and see AssignEdgeWeights for details about f.
The random number generator used can be seeded using the seed option or the randomize function.
R ≔ RandomRegularGraph⁡100,80,connected
R≔Graph 1: an undirected graph with 100 vertices and 4000 edge(s)
R ≔ RandomRegularGraph⁡seq⁡a..j,3,weights=−10..10
R≔Graph 2: an undirected weighted graph with 10 vertices and 15 edge(s)
f ≔ RandomTools:-Generate⁡float⁡range=0.1..1,digits=2,makeproc=true:
R ≔ RandomRegularGraph⁡10,3,weights=f
R≔Graph 3: an undirected weighted graph with 10 vertices and 15 edge(s)
U ≔ rand⁡1..4:
f := proc() local x; x := U(); if x=1 then 1 else 2 end if; end proc:
H ≔ RandomRegularGraph⁡10,3,connected,weights=f
H≔Graph 4: an undirected weighted graph with 10 vertices and 15 edge(s)
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