A = [ 1 2 1;1 3 1;1 4 1;2 5 2;3 5 3;4 5 4] ; For above matrix first i need out put like all possible path like 1-2-5 and its total weight (1+2 =3); path 1-3-5 and its total weight (1+3 = 4), Path 1-4-5 and its total weight (1+4 =5);
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Finding Longest Path in Directed Acyclic Graph
2 Comments
KALYAN ACHARJYA
on 30 Jul 2018
Edited: KALYAN ACHARJYA
on 30 Jul 2018
What are the path represents? Matrix element values?
Accepted Answer
Magdy Saleh
on 30 Jul 2018
You can try this:
A = [ 1 2 1;1 3 1;1 4 1;2 5 2;3 5 3;4 5 4];
cntr = 1;
path = [];
for i = 1:length(A)
path(i).startNode = A(i, 1);
path(i).path = [A(i, 2)];
path(i).weight = A(i, 3);
end
for i = 1:length(A)
for j = 1:length(A)
if(path(j).path(end) == A(i, 1))
path(j).path = [path(j).path, A(i, 2)];
path(j).weight = path(j).weight + A(i, 2);
end
end
end
But this assumes that your paths are at most of length two. Otherwise you might want to consider a recursive approach.
11 Comments
Guillaume
on 30 Jul 2018
I suggest you make a start at implementing and when you have a specific problem with it, come back and ask for help, showing what you have come up with so far.
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