Questions

CPSC_V 320 201/202/203 2024W2 Reading Quiz #11 (NP-Completeness 2)

Multiple choice

Which of these problems can be reduced to the Traveling Salesman Problem?

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Step-by-Step Analysis

Question restatement: Which of these problems can be reduced to the Traveling Salesman Problem? Answer choices: - Hamiltonian Cycle - Hamiltonian Path - 3-SAT - 2-SAT Analysis of each option: - Hamiltonian Cycle: This is a classic candidate for reduction to TSP. You can construct a graph where edges that exist in the original graph have weight 1 and non-edges have weight 2 (or a sufficiently large weight). A Hamiltonian cycle in the original graph corresponds to a TSP tour of total weight equal to the number of vertices (or below the chosen threshold), and v......Login to view full explanation

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