What is the primary goal of the Backtracking approach in solving the…

2025

What is the primary goal of the Backtracking approach in solving the Hamiltonian Cycle problem?

Answer: C. To find a cycle that visits every vertex exactly onceIn the Hamiltonian Cycle problem, backtracking tries to construct a cycle that visits every vertex exactly once and returns to the starting vertex.

  1. A.

    To find a cycle with the fewest edges

  2. B.

    To find a cycle with the lowest weight

  3. C.

    To find a cycle that visits every vertex exactly once

  4. D.

    To find a cycle with the maximum number of edges

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Correct answer: C

In the Hamiltonian Cycle problem, backtracking tries to construct a cycle that visits every vertex exactly once and returns to the starting vertex.

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