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Consider the following graph,
Among the following sequences:
(I) a b e g h f 
(II) a b f e h g
(III) a b f h g e 
(IV) a f g h b e  
Which are depth first traversals of the above graph?
  • a)
    I, II and IV only
  • b)
    I and IV only
  • c)
    II, III and IV only
  • d)
    I, III and IV only
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following graph,Among the following sequences:(I) a b e g...
We can check all DFSs for following properties.
In DFS, if a vertex 'v' is visited
after 'u', then one of the following is true.
1) (u, v) is an edge.
     u
   /   \
  v     w
 /     / \
x     y   z
2) 'u' is a leaf node.
     w
   /   \
  x     v
 /     / \
u     y   z
In DFS, after visiting a node, we first recur for all unvisited children. If there are no unvisited children (u is leaf), then control goes back to parent and parent then visits next unvisited children.
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Most Upvoted Answer
Consider the following graph,Among the following sequences:(I) a b e g...
We can check all DFSs for following properties.
In DFS, if a vertex 'v' is visited
after 'u', then one of the following is true.
1) (u, v) is an edge.
     u
   /   \
  v     w
 /     / \
x     y   z
2) 'u' is a leaf node.
     w
   /   \
  x     v
 /     / \
u     y   z
In DFS, after visiting a node, we first recur for all unvisited children. If there are no unvisited children (u is leaf), then control goes back to parent and parent then visits next unvisited children.
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