# Graph Theory/Weighted graphs and algorithms

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**Algorithm (Dijkstra's algorithm)**:

Let be a finite digraph with weight . Fix a node . Then the following algorithm computes a shortest path from any node other than to :

In C, the graph and the function shall be given by the nodes (where and ) and a weight function `double long weight(int source, int target)`

which is whenever `source`

and `target`

are not incident.

```
boolean nextStep[n];
int nextStepLength;
nextStepLength = 1;
for(k=0;k<n;k++) {
nextStep[k] = k;
}
int step;
int vNo;
for(step=0;step<n;step++) {
for(vNo = 0; vNo < nextStepLength; vNo++) {
}
}
```