We'll trace a recursive DFS on our 6-node graph, starting from node A. The path taken by the traversal forms a structure known as a DFS Tree.

  • For this walkthrough, we will visit neighbors in alphabetical order to ensure a predictable traversal path.
  • As DFS explores, the edges it takes to discover new vertices form a DFS Tree (or a forest if the graph is disconnected).
  • This tree represents the path of the recursion and is fundamental to many DFS applications, such as finding cycles and topological sorting.
Rule: Visit neighbors in alphabetical order.