how to generate symmetric matrix with zero-one elements, complexity index of this matrix (number of ones / (size )^2) = any number from zero to 1 and diagonal equal ones

how to generate symmetric matrix with zero-one elements, complexity index of this matrix (number of ones / (size )^2) = any number from zero to 1 and diagonal equal ones???

[Star Strider]

@Hayam — I thought you might be the only person who wanted the matrix, but it’s gotten several downloads in the 8 hours since I uploaded it!

Answer 1

[Star Strider]

Here you go: Random Binary Matrix With Specified Probability Constrained To Have Ones On The Main Diagonal.

I have no idea if anyone else will ever use it, but it was intriguing enough as a problem for me to make it reasonably robust and put it up on the File Exchange. I’ll take it down eventually if it doesn’t generate any other interest.

Answer 2

[Triveni]

 A = [1 2 3 4 5; 1 2 3 4 5; 1 2 3 4 5];

 symmetry = [A, flip(A)];

if you need diagonal as ones use

 B =diag(symmetry) ==ones;

[Hayam Wahdan]

I need zero one matrix with number of ones = 0.7 ( any number from zero to one ) and oned in diagonal