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Algorithms
Complexity Analysis and Asymptotic Notations
Marks 1Marks 2
Searching and Sorting
Marks 1Marks 2
Divide and Conquer Method
Marks 1Marks 2
Greedy Method
Marks 1Marks 2
P and NP Concepts
Marks 1Marks 2
Dynamic Programming
Marks 1Marks 2
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1
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
The subset-sum problem is defined as follows:
Given a set S of n positive integers and a positive integer W, determine whether there is a subset of S Whose elements sum to W. An algorithm Q solves this problem in O(nW) time. Which of the following statements is false?
A
Q solves the subset-sum problem in polynomial time when the input is encoded in unary
B
Q solves the subset-sum problem in polynomial time when the input is encoded in binary
C
The subset sum problem belongs to the class NP
D
The subset sum problem is NP-hard
2
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Let SHAM3 be the problem of finding a Hamiltonian cycle in a graph G = (V, E) with |V| divisible by 3 and DHAM3 be the problem of determining if a Hamiltonian cycle exists in such graphs. Which one of the following is true?
A
Both DHAM3 and SHAM3 are NP-hard
B
SHAM3 is NP-hard, but DHAM3 is not
C
DHAM3 is NP-hard, but SHAM3 is not
D
Neither DHAM3 nor SHAM3 is NP-hard
3
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider three decision problems P1, P2 and P3. It is known that P1 is decidable and P2 is undecidable. Which one of the following is TRUE?
A
P3 is decidable if P1 is reducible to P3
B
P3 is undecidable if P3 is reducible to P2
C
P3 is undecidable if P2 is reducible to P3
D
P3 is decidable if P3 is reducible to P2 's complement
4
GATE CSE 1992
MCQ (Single Correct Answer)
+2
-0.6
Which of the following problems is not NP-hard?
A
Hamiltonian circuit problem
B
The 0/1 Knapsack problem
C
Finding bi-connected components of a graph
D
The graph coloring problem
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Questions Asked from Marks 2
GATE CSE 2014 Set 3 (1) GATE CSE 2014 Set 1 (1) GATE CSE 2008 (1) GATE CSE 2006 (1) GATE CSE 2005 (1) GATE CSE 1992 (1)
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization