21 Jul Assignment 2: Hamiltonian Circuits and AlgorithmsP
Assignment 2: Hamiltonian Circuits and AlgorithmsPlease show your work.Question 1:Give one similarity and one difference between Euler and Hamiltonian circuits.Question 2:Please find a Hamiltonian circuit in the following graph:Question 3:Please find a Hamiltonian circuit in the following graph:Question 4:You are planning a road trip starting at your home in Chicago. Use the Method of Trees to find a minimum-cost Hamiltonian circuit between the following cities. Give both the route and the cost.Question 5:Use the brute force algorithm to find the minimum cost Hamiltonian circuit. Give the route and the total cost. Start at K.Question 6:Now, use the nearest-neighbour algorithm on the same graph. Start at K. Give the route and the total cost.Question 7:Based on your results in the previous two questions, give real-world one advantage and one disadvantage of using the nearest neighbor algorithm when compared to the brute force algorithm.Question 8:Use the sorted-edges algorithm to find a Hamiltonian circuit. Give both the route and the total cost.Question 9:Use Kruskal’s algorithm to find minimum cost spanning trees:
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