We’ll trace BFS from `A` on this graph, observing how the queue and node states change at each step.
- We will trace the BFS algorithm starting from the initial node A.
- The goal is to record the
levelandparentfor each node as it's discovered. - Pay close attention to how the queue evolves—which nodes are added and in what order.
- The key takeaway is that the order in which vertices are visited aligns with their increasing level (distance from the start).
| Vertex | Neighbors |
|---|---|
| A | B, C |
| B | A, D, F |
| C | A, E |
| D | B, E |
| E | C, D, F |
| F | B, E |