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# UGC-NET | UGC NET CS 2015 Jun – II | Question 4

Consider the following statements:
(a) Depth – first search is used to traverse a rooted tree.
(b) Pre – order, Post-order and Inorder are used to list the vertices of an ordered rooted tree.
(c) Huffman’s algorithm is used to find an optimal binary tree with given weights.
(d) Topological sorting provides a labelling such that the parents have larger labels than their children.
Which of the above statements are true?

(A) (a) and (b)
(B) (c) and (d)
(C) (a), (b) and (c)
(D) (a), (b), (c) and (d)

Explanation:

• Depth – first search is used to traverse a rooted tree. Correct
• Pre – order, Post-order and Inorder are used to list the vertices of an ordered rooted tree. Correct
• Huffman’s algorithm is used to find an optimal binary tree with given weights.
• Correct
• Topological sorting provides a labelling such that the parents have larger labels than their children.Correct

So, option (D) is correct.

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