Consider the following graph, Among the following sequences : (I) a b e g h f…

Depth First Search (DFS) explores as far as possible along each branch before backtracking. For the given graph, valid DFS sequences must respect parent-child relationships and visit all reachable nodes without skipping unvisited neighbors prematurely. Sequence I (a b e g h f) follows a valid path where each node is visited before its siblings. Sequence II (a b f e h g) incorrectly visits f before exploring all children of b, violating DFS rules. Sequence III (a b f h g e) maintains proper traversal order by completing branches before backtracking. Sequence IV (a f g h b e) starts with a different branch but remains valid if the graph structure allows it. Therefore, sequences I, III, and IV are correct DFS traversals.