1
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3
Which of the following is TRUE?
A
The cost of searching an AVL tree is θ (log n) but that of a binary search tree is O(n)
B
The cost of searching an AVL tree is θ (log n) but that of a complete binary tree is θ (n log n)
C
The cost of searching a binary search tree is O (log n ) but that of an AVL tree is θ(n)
D
The cost of searching an AVL tree is θ (n log n) but that of a binary search tree is O(n)
2
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
The height of a binary tree is the maximum number of edges in any root to leaf path. The maximum number of nodes in a binary tree of height h is:
A
2h-1
B
2h-1-1
C
2h+1-1
D
2h+1
3
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
The maximum number of binary trees that can be formed with three unlabeled nodes is:
A
1
B
5
C
4
D
3
4
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
A scheme for storing binary trees in an array X is as follows. Indexing of X starts at 1 instead of 0. the root is stored at X[1]. For a node stored at X[i], the left child, if any, is stored in X[2i] and the right child, if any, in X[2i+1]. To be able to store any binary tree on n vertices the minimum size of X should be
A
log2 n
B
n
C
2n + 1
D
2n-1
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