Symmetric binary matrix with diagonal 0 values
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I want to create a symmetric (10x10) binary matrix with n number of ones and the diagonal values have to be 0s. Can anyone help me?
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James Tursa
le 21 Oct 2019
1's can be located anywhere, just not on the diagonal? Random locations? I am assuming n must be even?
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Guillaume
le 21 Oct 2019
Guaranteed to work on the first try:
Msize = 10; %size of square matrix
N = 20; %number of ones on each side of the diagonale
M = zeros(Msize);
indices = nonzeros(tril(reshape(1:Msize^2, Msize, Msize), -1)); %get indices BELOW diagonale
M(indices(randperm(numel(indices), N))) = 1; %pick N indices and fill with 1
M = M | M.' %do the symmetry
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KALYAN ACHARJYA
le 21 Oct 2019
Modifié(e) : KALYAN ACHARJYA
le 21 Oct 2019
Beware: Before Try (I posted it as answer, so that you may get some idea)
n=input('Eneter the value of n: ')
result=zeros(10,10);
while sum(result)~=n
result=ones(10,10)-diag(diag(ones(10,10))) & randi([0 1],[10 10]);
end
result
When it will works, depending on luck, as I have no idea how to control number on 1 generation in random matrics, but I have forced all diagonal elements to zeros.
During running the Matlab (Execution), you can stop it by pression Ctrl+S
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