1
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
Consider the label sequences obtained by the following pairs of traversals on a labeled binary tree. Which of these pairs identify a tree uniquely?
i) preorder and postorder
ii) inorder and postorder
iii) preorder and inorder
iv) level order and postorder
A
(i) only
B
(ii), (iii)
C
(iii) only
D
(iv) only
2
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
A program takes as input a balanced binary search tree with n leaf nodes and computes the value of a function g(x) for each node x. If the cost of computing g(x) is min{ no. of leaf-nodes in left-subtree of x, no. of leaf-nodes in right-subtree of x } then the worst-case time complexity of the program is
A
$$\Theta (n)$$
B
$$\Theta (n \log n)$$
C
$$\Theta(n^2)$$
D
$$\Theta (n^2\log n)$$
3
GATE CSE 2002
MCQ (Single Correct Answer)
+2
-0.6
The number of leaf nodes in a rooted tree of n nodes, with each node having 0 or 3 children is:
A
n/2
B
(n-1)/3
C
(n-1)/2
D
(2n+1)/3
4
GATE CSE 2000
MCQ (Single Correct Answer)
+2
-0.6
Let LASTPOST, LASTIN and LASTPRE denote the last vertex visited in a postorder, inorder and preorder traversal. Respectively, of a complete binary tree. Which of the following is always tree?
A
LASTIN = LASTPOST
B
LASTIN = LASTPRE
C
LASTPRE = LASTPOST
D
None of the above

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