Complexity Classes on Data Structure and Algorithms related Questions and Answers

Question 1 : For a graph of degree three, in what time can a Hamiltonian path be found?
1. O(0.251n)
2. O(0.401n)
3. O(0.167n)
4. O(0.151n)
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Question 2 : In graphs, in which all vertices have an odd degree, the number of Hamiltonian cycles through any fixed edge is always even.
1. true
2. false
3.
4.
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Question 3 : For a hamming code of parity bit m=8, what is the total bits and data bits?
1. (255, 247)
2. (127, 119)
3. (31, 26)
4. (0, 8)
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Question 4 : What is the code rate of a repetition Hamming code (3, 1)?
1. 1
2. 3
3. 1/3
4. 1.3
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Question 5 : What is the code rate of a repetition Hamming code (3, 1)?
1. 1
2. 3
3. 1/3
4. 1.3
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Question 6 : Hamming codes can be used for both single-bit error and burst error detection and correction.
1. True
2. False
3.
4.
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Question 7 : An Extended hamming code is also called as __________
1. SEDDEC
2. SEDDED
3. SECDED
4. SECDEC
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Question 8 : Which of the following problems is similar to that of a Hamiltonian path problem?
1. knapsack problem
2. closest pair problem
3. travelling salesman problem
4. assignment problem
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