1
GATE CSE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the following $$New-order$$ strategy for traversing a binary tree:

$$\,\,\,\,\,\,\, \bullet \,\,\,\,\,$$ Visit the root;
$$\,\,\,\,\,\,\, \bullet \,\,\,\,\,$$ Visit the right subtree using $$New-order;$$
$$\,\,\,\,\,\,\, \bullet \,\,\,\,\,$$ Visit the left subtree using $$New-order;$$

The New-order traversal of the expression tree corresponding to the reverse polish expression 3 4 * 5 - 2 ^ 6 7 * 1 + - is given by:

A
+ - 1 6 7 * 2 ^ 5 - 3 4 *
B
- + 1 * 6 7 ^ 2 - 5 * 3 4
C
- + 1 * 7 6 ^ 2 - 5 * 4 3
D
1 7 6 * + 2 5 4 3 * - ^ - New-order;
2
GATE CSE 2016 Set 2
Numerical
+2
-0
The number of ways in which the numbers $$1, 2, 3, 4, 5, 6, 7$$ can be inserted in an empty binary search tree, such that the resulting tree has height $$6,$$ is _____________.

$$Note:\,\,\,The\,\,height\,\,of\,\,a\,tree\,\,with\,\,a\,\,\sin gle\,\,node\,\,is\,\,0$$

Your input ____
3
GATE CSE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
In an adjacency list representation of an undirected simple graph $$G = (V,E),$$ each edge $$(u, v)$$ has two adjacency list entries: $$[v]$$ in the adjacency list of $$u,$$ and $$[u]$$ in the adjacency list of $$v.$$ These are called twins of each other. A twin pointer is a pointer from an adjacency list entry to its twin. If $$|E| = m$$ and $$|V| = n,$$ and the memory size is not a constraint, what is the time complexity of the most efficient algorithm to set the twin pointer in each entry in each adjacency list?
A
$$\Theta \left( {{n^2}} \right)$$
B
$$\Theta \left( {n + m} \right)$$
C
$$\Theta \left( {{m^2}} \right)$$
D
$$\Theta \left( {{n^4}} \right)$$
4
GATE CSE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
B+ Trees are considered BALANCED because
A
the lengths of the paths from the root to all leaf nodes are all equal.
B
the lengths of the paths from the root to all leaf nodes differ from each other by at most 1.
C
the number of children of any two non-leaf sibling nodes differ by at most 1.
D
the number of records in any two leaf nodes differ by at most 1.
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