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Shortest path between two single nodes

`P = shortestpath(G,s,t)`

`P = shortestpath(G,s,t,'Method',algorithm)`

```
[P,d] =
shortestpath(___)
```

```
[P,d,edgepath] =
shortestpath(___)
```

computes the shortest path starting at source node `P`

= shortestpath(`G`

,`s,t`

)`s`

and ending
at target node `t`

. If the graph is weighted (that is,
`G.Edges`

contains a variable `Weight`

), then
those weights are used as the distances along the edges in the graph. Otherwise, all
edge distances are taken to be `1`

.

The

`shortestpath`

,`shortestpathtree`

, and`distances`

functions do not support undirected graphs with negative edge weights, or more generally any graph containing a negative cycle, for these reasons:A

*negative cycle*is a path that leads from a node back to itself, with the sum of the edge weights on the path being negative. If a negative cycle is on a path between two nodes, then no shortest path exists between the nodes, since a shorter path can always be found by traversing the negative cycle.A single negative edge weight in an undirected graph creates a negative cycle.

`digraph`

| `distances`

| `graph`

| `nearest`

| `shortestpathtree`