how to generate path matrix?

n=3;ri=0.9;lamda=0.7;

config = dec2bin(0:2.^L-1)-'0';

12 13 23

0 0 0

0 0 1 .r2

0 1 0

0 1 1 r1. .r3

1 0 0

1 0 1

1 1 0

1 1 1

consider 3 nodes (i.e., 1,2,3),this is fixed network. 1 is source node,3 is destination node and 2 is intermediate node. the shortest path is 1 to 3, because fixed network 1 is source and 3 is destination.

but i need this

12 13 23 path

0 0 0 0.00

0 0 1 0.00 % there is no connection with source node (that means 1 to 3 there is no path)

0 1 0 r1r3

0 1 1 r1r3

1 0 0 0.00 % there is no connection with destination node(that means 1 to 3 not connected)

1 0 1 r1r2r3

1 1 0 r1r3

1 1 1 r1r3

please to generate above table. please help me.

Answer 1

[Tejas]

Hello Ankanna,

To achieve the desired workflow, follow these steps:

• Start by generating all the paths.

    n = 3; L = 3; 
    allPaths = dec2bin(0:2^L-1) - '0';
    expr = cell(size(allPaths,1), 1);

• Find the relevant expression for each path.

    for i = 1:size(allPaths,1)
        adj = zeros(n);
    
        % If link 1-2 exists
        if allPaths(i,1)==1
            adj(1,2) = 1; adj(2,1) = 1;
        end
        % If link 1-3 exists
        if allPaths(i,2)==1
            adj(1,3) = 1; adj(3,1) = 1;
        end
        % If link 2-3 exists
        if allPaths(i,3)==1
            adj(2,3) = 1; adj(3,2) = 1;
        end
        
        if adj(1,3)
            expr{i} = 'r1r3';
        elseif adj(1,2) && adj(2,3)
            expr{i} = 'r1r2r3';
        else
            expr{i} = '0.00';
        end
    end

• Store the data in Table format.

    T = table(allPaths(:,1), allPaths(:,2), allPaths(:,3), expr, ...
    'VariableNames', {'12', '13', '23', 'path'})