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Q1 Give a greedy algorithm that attempts to compute a minimum-weight Hamiltonian cycle in a Euclidean graph. b. Prove by a counterexample that the greedy
Q1 Give a greedy algorithm that attempts to compute a minimum-weight Hamiltonian cycle in a Euclidean graph.
b. Prove by a counterexample that the greedy solution is not necessarily optimal.
c. Give a divide-and-conquer algorithm that attempts to compute a minimum-weight Hamiltonian cycle in a Euclidean graph. Analyze the time complexity of your algorithm.
d. Prove by a counterexample that your divide-and-conquer solution is not necessarily optimal
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