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
1
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Let w be the minimum weight among all edge weights in an undirected connected graph. Let e be a specific edge of weight w . Which of the following is FALSE?
A
There is a minimum spanning tree containing e.
B
If e is not in a minimum spanning tree T, then in the cycle formed by adding e to T, all edges have the same weight.
C
Every minimum spanning tree has an edge of weight w .
D
e is present in every minimum spanning tree.
2
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Suppose the letters a, b, c, d, e, f have probabilities 1/2, 1/4, 1/8, 1/16, 1/32, 1/32 respectively. What is the average length of Huffman codes?
A
3
B
2.1875
C
2.25
D
1.9375
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
In an unweighted, undirected connected graph, the shortest path from a node S to every other node is computed most efficiently, in terms of time complexity by
A
Dijkstra’s algorithm starting from S.
B
Warshall’s algorithm
C
Performing a DFS starting from S.
D
Performing a BFS starting from S.
4
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Suppose the letters a, b, c, d, e, f have probabilities 1/2, 1/4, 1/8, 1/16, 1/32, 1/32 respectively. Which of the following is the Huffman code for the letter a, b, c, d, e, f?
A
0, 10, 110, 1110, 11110, 11111
B
11, 10, 011, 010, 001, 000
C
11, 10, 01, 001, 0001, 0000
D
110, 100, 010, 000, 001, 111
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