## error in finding shortest path

### FIR (view profile)

on 28 Jan 2014
Latest activity Answered by Walter Roberson

### Walter Roberson (view profile)

on 17 Jul 2015

I have created a graph with values

```y =
```
```   (1,3)       0.8615
(2,3)       0.8479
(1,5)       0.1064
(2,5)       0.9705
(3,5)       0.6588
(4,5)       0.8535
(1,6)       0.3939
(3,6)       0.7948
(1,7)       0.5726
(4,7)       0.6146
(6,7)       0.8340
(2,8)       0.6760
(4,8)       0.5518
(5,8)       0.7033
(4,9)       0.2783
(7,9)       0.3425
(8,9)       0.7412```
```bg=(biograph(y,[],'ShowArrows', 'off','ShowWeights','on'));
```
```view(bg)
```

now i have found shortest path between two nodes,it works for some nodes and gives the path and distance,but for some nodes the path is empty ,for example

```[dist,path,pred] = graphshortestpath(y,3,4)
```

the path is empty, kindly tell why i get empty path

### Walter Roberson (view profile)

on 17 Jul 2015

You have a link from 3 to 5 and from 3 to 6.

If you use (3,5) then the only link from 5 is (5,8) so you have to take that. Once you are at 8, the only link is (8,9) so you take that. There are no links from 9 so the path is a dead end.

So you need to instead use (3,6). Once you are at 6 the only link is (6,7) so you have to take that. Once you are at 7, the only link is (7,9) so you take that. There are no links from 9 so the path is a dead end.

Therefor with the data matrix you have, there is no route from 3 to 5.

If you want the routes to be symmetric then you need to add in the symmetric entries.

```Y = y + y';
```

Now if you ask for the path on Y you will get a result.