DFS Exercise
Consider the following graph:
Exercise Write the vertices of the above graph in the order in which they would be visited in a depth-first traversal starting at node $0$. Assume neighbors are visited in numerical order.
Solution
| Stack | Edges | Explored |
|---|---|---|
| 0 | - | 0 |
| 1 | (0, 1) | 1 |
| 2, 1 | (0, 2) | 2 |
| 5, 2, 1 | (0, 5) | 5 |
| 7, 2, 1 | (5, 7) | 7 |
| 4, 2, 1 | (7, 4) | 4 |
| 3, 2, 1 | (4, 3) | 3 |
| 6, 3, 2, 1 | (4, 6) | 6 |
| 8, 3, 2, 1 | (6, 8) | 8 |
| 3, 2, 1 | - | - |
| 2, 1 | - | - |
| 1 | - | - |
| - | - | - |
The answer is $0, 1, 2, 5, 7, 4, 3, 6, 8$.