Hamiltonian Path Problem Multiple choice Questions and Answers (MCQs)
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Which of the following algorithm can be used to solve the Hamiltonian path problem efficiently?
branch and bound
divide and conquer
Question 1 Explanation:
The Hamiltonian path problem can be solved efficiently using branch and bound approach. It can also be solved using a backtracking approach.
The problem of finding a path in a graph that visits every vertex exactly once is called?
Hamiltonian path problem
Hamiltonian cycle problem
Subset sum problem
Turnpike reconstruction problem
Question 2 Explanation:
Hamiltonian path problem is a problem of finding a path in a graph that visits every node exactly once whereas Hamiltonian cycle problem is finding a cycle in a graph.
Hamiltonian path problem is .....
N class problem
P class problem
NP complete problem
Question 3 Explanation:
Hamiltonian path problem is found to be NP complete. Hamiltonian cycle problem is also an NP- complete problem.
There is no existing relationship between a Hamiltonian path problem and Hamiltonian circuit problem.
Question 4 Explanation:
There is a relationship between Hamiltonian path problem and Hamiltonian circuit problem. The Hamiltonian path in graph G is equal to Hamiltonian cycle in graph H under certain conditions.
Which of the following problems is similar to that of a Hamiltonian path problem?
closest pair problem
travelling salesman problem
Question 5 Explanation:
Hamiltonian path problem is similar to that of a travelling salesman problem since both the problem traverses all the nodes in a graph exactly once.
There are 5 questions to complete.