1
GATE CSE 2016 Set 2
+1
-0.3
The Floyd-Warshall algorithm for all-pair shortest paths computation is based on
A
B
C
D
neither Greedy nor Divide-and-Conquer nor Dynamic Programming paradigm.
2
GATE CSE 2015 Set 1
+1
-0.3
Match the following:

List 1

(P) Prim’s algorithm for minimum spanning tree
(Q) Floyd-Warshall algorithm for all pairs shortest paths
(R) Mergesort
(S) Hamiltonian circuit

List 2

(i) Backtracking
(ii) Greedy method
(iii) Dynamic programming
(iv) Divide and conquer
A
P - iii, Q - ii, R - iv, S - i
B
P - i, Q - ii, R - iv, S - iii
C
P - ii, Q - iii, R - iv, S - i
D
P - ii, Q - i, R - iii, S - iv
3
GATE CSE 2011
+1
-0.3
An algorithm to find the length of the longest monotonically increasing sequence of numbers in an array A[0:n−1] is given below.

Let Li, denote the length of the longest monotonically increasing sequence starting at index i in the array. Initialize Ln−1=1.

For all i such that $$0 \leq i \leq n-2$$

$$L_i = \begin{cases} 1+ L_{i+1} & \quad\text{if A[i] < A[i+1]} \\ 1 & \quad\text{Otherwise}\end{cases}$$

Finally, the length of the longest monotonically increasing sequence is max(L0, L1,…,Ln−1)
Which of the following statements is TRUE?
A
The algorithm uses dynamic programming paradigm
B
The algorithm has a linear complexity and uses branch and bound paradigm
C
The algorithm has a non-linear polynomial complexity and uses branch and bound paradigm
D
The algorithm uses divide and conquer paradigm
4
GATE CSE 2004
+1
-0.3
The tightest lower bound on the number of comparisons, in the worst case, for comparison-based sorting is of the order of
A
n
B
n2
C
n log n
D
$$n \log^2n$$
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
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