in the following MATLAB Programme, I want print the resultant Matrix D with two conditions i) D has exactly one Zero ii) D with exactly two pairs like as (-x, x) and (-y, y)

A = [0 1 0 0 1 ; 1 0 1 0 0 ; 0 1 0 1 0 ; 0 0 1 0 1 ; 1 0 0 1 0]

B = [-1 -2 1 2 0];

C = perms (B);

E=C

D=C*A

Answer 1

[Arif Hoq]

A = [0 1 0 0 1 ; 1 0 1 0 0 ; 0 1 0 1 0 ; 0 0 1 0 1 ;  1 0 0 1 0];
B = [-1 -2 1 2 0];
C = perms (B);
D=C*A;
[Lia, Locb] = ismember(C,D, 'rows');
samerow=unique(Locb);   % this row of D satifies the 2 condition
samerow(1)=[];  % delete the first 0 value
% rownumber=samerow(2:end);
output=D(samerow,:)

output = 10×5

0 2 -1 1 -2 0 -2 1 -1 2 -1 2 0 -2 1 -1 1 -2 0 2 2 0 -2 1 -1 2 -1 1 -2 0 1 -1 2 0 -2 1 -2 0 2 -1 -2 0 2 -1 1 -2 1 -1 2 0

[bala maths]

First of all Big thanks for your valuable answer.

i need generalized program

Example in this program

A - Adjacency Matrix for Cycle on 5 vertices C5

so i take B = {-1 -2 0 1 2} (i.e. i take first two natural pair number with zero)

then i want output like as pairs (-x1, x1) , (-x2, x2) and (0) where x1, x2 may be any natural number

Example 2

suppose i take cycle on 6 vertices C6

here I take A - Adjacency matrix for C6 and B = {-1 -2 -3 1 2 3} (i.e. i take first three natural pair number without zero).

then i want output such as pairs (-x1, x1) , (-x2, x2) and (-x3, x3) where x1,x2, x3 may be any natural number

Counter program

A = [0 1 0 0 0 1 ; 1 0 1 0 0 0 ; 0 1 0 1 0 0 ; 0 0 1 0 1 0; 0 0 0 1 0 1 ; 1 0 0 0 1 0];

B = [1; 2; -3; 3; -2; -1];

D=A*B

D = 1 -2 5 -5 2 -1 this output sample one i want find more combination.

[Arif Hoq]

did you try with perms function ?

A = [0 1 0 0 0 1 ; 1 0 1 0 0 0 ; 0 1 0 1 0 0 ; 0 0 1 0 1 0; 0 0 0 1 0 1  ;  1 0 0 0 1 0];
B = [1;2; -3; 3; -2; -1];
D=(A*B)';
per=perms(D);

[bala maths]

i try this function but i can't to make generalized...

[Arif Hoq]

please clarify again about your expectation.

[bala maths]

A = [0 1 0 0 1 ; 1 0 1 0 0 ; 0 1 0 1 0 ; 0 0 1 0 1 ; 1 0 0 1 0];

B = [-1 -2 1 2 0];

C = perms (B);

D=C*A;

[Lia, Locb] = ismember(C,D, 'rows');

samerow=unique(Locb); % this row of D satifies the 2 condition

samerow(1)=[]; % delete the first 0 value

% rownumber=samerow(2:end);

output=D(samerow,:)

In this program, suppose i want change instead of -2,2 replace -3,3 its doesn't work.

A = [0 1 0 0 1 ; 1 0 1 0 0 ; 0 1 0 1 0 ; 0 0 1 0 1 ; 1 0 0 1 0];

B = [-1 -3 1 3 0];

C = perms (B);

D=C*A;

[Lia, Locb] = ismember(C,D, 'rows');

samerow=unique(Locb); % this row of D satifies the 2 condition

samerow(1)=[]; % delete the first 0 value

% rownumber=samerow(2:end);

output=D(samerow,:)

octave:3> source("arif.m")output = [](0x5)

i think for generalized result we must use conditional statement for or if loop.

[Arif Hoq]

if you change variable A you can get the output

A = [0 2 0 0 2 ; 1 0 1 0 0 ; 0 1 0 1 0 ; 0 0 1 0 1 ;  1 0 0 1 0];