# How to find All possible paths from one node to another node......

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raj singh on 30 May 2016
Commented: ankanna on 19 Apr 2021 at 16:09
ld=[1 2 2;
1 3 2;
1 4 3;
2 3 3;
3 4 2;
4 5 4;
4 6 4;
5 6 3];
first two column represent edge (node connectivity) of graph and third column represent distance between that line. For example: I want to know all paths from 3 to 4.
My answer will be :
[3 4]
[3 1 4]
[3 2 1 4]
Please help me to solve this. I already use Dijkstra algorithm but Dijkstra algorithm is in xy plane or xyz plane, which is not like my problem.
##### 1 CommentShowHide None
Walter Roberson on 31 May 2016
In a duplicate copy of the question, Roger Stafford commented,
The Dijkstra algorithm is concerned with finding the shortest path between a pair of nodes, or the shortest between a given source node and all the other nodes, and that would involve your column three. However, your request is different - you want all possible paths between a pair of nodes - so the Dijkstra algorithm would be of no use to you in any case, nor is there any use for your column three.
If you have a graph with 246 nodes, the chances are that you would have an astronomically large number of possible paths between nodes. What would you do with such a list after you have obtained it?

Walter Roberson on 30 May 2016
ankanna on 19 Apr 2021 at 16:09
node = 3; ri=0.9;
L=(node*(node-1))/2;
configuration = dec2bin(0:(2^L-1))-'0';
alfak=configuration;
source node=1; destination node=3;
m = Limit on intermediate node;
2TR(alfak) == ri^m;
how to calculate two terminal reliability.
alfak Path 2TR(alfak)
1 r1r3 0.81
2 r1r3 0.81
3 r1r2r3 0.73
4 r1r3 0.81
5 None 0.00
6 r1r3 0.81
7 None 0.00
8 None 0.00
please help me to generate above and i want that 2terminal reliability at output.