Explanation of minimal spanning tree
The table below shows the order in which nodes are added to the minimal spanning tree rooted at node 0.
In each iteration, a new node is added to the tree, and the distance to that node from all nodes adjacent to it are updated.
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another randomly generated unweighted graph.
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|
| 0 | inf | inf | inf | inf | inf | inf | inf | inf | inf |
| 0 | inf | 1 | inf | inf | inf | 14 | inf | inf | inf |
| 0 | 8 | 1 | inf | 11 | inf | 14 | 12 | inf | inf |
| 0 | 8 | 1 | 6 | 11 | inf | 2 | 12 | inf | inf |
| 0 | 8 | 1 | 6 | 11 | inf | 2 | 12 | inf | inf |
| 0 | 8 | 1 | 6 | 11 | 7 | 2 | 10 | inf | inf |
| 0 | 8 | 1 | 6 | 3 | 7 | 2 | 10 | 13 | inf |
| 0 | 8 | 1 | 6 | 3 | 7 | 2 | 10 | 13 | 6 |
| 0 | 8 | 1 | 6 | 3 | 7 | 2 | 10 | 13 | 6 |
| 0 | 8 | 1 | 6 | 3 | 7 | 2 | 10 | 13 | 6 |