generate random tournament
list of vertex labels
(optional) equation(s) of the form option=value where option is one of seed or weights
seed = integer or none
Seed for the random number generator. When an integer is specified, this is equivalent to calling randomize(seed).
weights = range or procedure
If the option weights=m..n is specified, where m≤n are integers, the graph is a weighted graph with edge weights chosen from [m,n] uniformly at random. The weight matrix W in the graph has datatype=integer, and if the edge from vertex i to j is not in the graph then W[i,j] = 0.
If the option weights=x..y where x≤y are decimals is specified, the graph is a weighted graph with numerical edge weights chosen from [x,y] uniformly at random. The weight matrix W in the graph ha and if the edge from vertex i to j is not in the graph then W[i,j] = 0.0.
If the option weights=f where f is a function (a Maple procedure) that returns a number (integer, rational, or decimal number), then f is used to generate the edge weights. The weight matrix W in the graph has datatype=anything, and if the edge from vertex i to j is not in the graph then W[i,j] = 0.
RandomTournament(n) creates a random tournament on n vertices. This is a directed graph such that for every pair of vertices u and v either the arc u to v or the arc v to u is in the digraph.
If the first input is a positive integer n, then the vertices are labeled 1,2,...,n. Alternatively you may specify the vertex labels in a list.
The random number generator used can be seeded using the seed option or the randomize function.
T ≔ RandomTournament⁡5
T≔Graph 1: a directed graph with 5 vertices and 10 arc(s)
T ≔ RandomTournament⁡5,weights=1..5
T≔Graph 2: a directed weighted graph with 5 vertices and 10 arc(s)
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