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# creating random n*n matrix satisfying particular constraints using matlab?

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reshdev on 12 Sep 2014
Closed: reshdev on 20 Sep 2014
Hello all,
i have following code to create n*n matrix(say n=5 this time) which is following certain constraints.
function selectingset
% n = input ('Enter Num_Nodes :');
% inputData=input ('Enter inputdata :');
n=5;
inputData=[5 1 2];
for z = 1:n
f = inputData(1,1); % f= Demand
S = inputData(1,2); % S= Source node
T = inputData(1,3); % T= Termination node
[idx,p] = sort(rand(n-1,f));
M = accumarray([reshape(p+(p>=T),[],1),repmat([1:S-1,S+1:n]',f,1)],1,[n,n]);
M(1:n+1:n^2) = 0;
end
disp(M);
end
So, my o/p from following code is---
0 0 2 3 0
0 0 0 0 0
0 0 0 0 3
0 4 1 0 0
0 1 0 2 0
Note that as in given code
input S=1, so column 1 is zero and
As T=2, so row 2 is zero.
As f= 5, so sum of row S(i.e. S=1)=Sum of column T(i.e. T=2)= 5
and i am making diagonal elements zero.
all the remaining rows and columns, sum of row(i)=sum of column(i)
Now, How can i modify code such that row(1,3) will always come zero in output but output still follows previous mentioned constraints.