List of neighbors from adjacency matrix

Hi everyone,

I have an adjacency matrix:

 0  1  1  1
 1  0  0  1
 1  0  0  1
 1  1  1  0

I'm trying to create an array that will list the neighbours of each node. Such that I have an output:

[1] 2,3,4
[2] 1,4
[3] 1,4
[4] 1,2,3

An efficient and fast way to compute this would be much appreciated. Cheers.

Answer 1

[Matt J]

    yourMatrix=[0  1  1  1
               1  0  0  1
               1  0  0  1
               1  1  1  0];

[i,j]=find(yourMatrix);

result = accumarray(i,j,[size(yourMatrix,1), 1],@(x) {sort(x).'});

 >> result{:}

      ans =

         2     3     4

    ans =

         1     4

    ans =

         1     4

    ans =

         1     2     3

[Abhishek Varghese]

Oh my goodness you are everywhere

[Abhishek Varghese]

Thanks heaps though

[Matt J]

You're quite welcome.

[Nitika Kandhari]

@MattJ I need 1 single matrix of the output result. Can you please help me with that?

[Nitika Kandhari]

I tried this:

for i = 1:length(result)
output(i,:)= cellstr(num2str(result{i,1}));
end

and I got 5 X 1 matrix as output:

'1  2'
'3   4   5   6   7'
'8   9  10  11  12  13  14  15  16'
'17  18  19  20  21  22  23  24  29  30  38  39  40  46'
'47  48  49  55  56  61  67  93  94  95  96'

[Steven Lord]

You can't have a matrix in MATLAB where one row has 3 columns and another has 2 columns. You could try padding the shorter rows with missing data using either missing or NaN or padding with 0, but depending on what you want to do with this information it may be simpler just to use the cell array Matt's code creates.

If you tell us what you would do with such a neighbors matrix, we may be able to offer suggestions that will make your later processing easier.