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mk_rnd_dag.m
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function [dag, order] = mk_rnd_dag(N, max_fan_in)
% MY_MK_RND_DAG Create a random directed acyclic graph
%
% [dag, order] = my_mk_rnd_dag(N, max_fan_in)
% max_fan_in defaults to N.
% order is the random topological order that was chosen
% Modified by Sonia Leach 2/25/02
if nargin < 2, max_fan_in = N; end
order = randperm(N);
dag = zeros(N,N);
for i=2:N
j = order(i);
%k = sample_discrete(normalise(ones(1, min(i-1, max_fan_in))));
k = sample_discrete(normalise(ones(1, min(i-1, max_fan_in)+1))) - 1; % min = 0 (bug fix due to
% Pedrito, 7/28/04)
SS = order(1:i-1); % get Set of possible parentS
p = randperm(length(SS)); % permute order of set
dag(SS(p(1:k)),j) = 1; % take first k in permuted order
% Kevin had:
%SS = subsets(order(1:i-1), k, k);
%p = sample_discrete(normalise(ones(1, length(SS))));
%dag(SS{p}, j) = 1;
end