Problem 1E: For the graph shown in Fig. 6-19, a.find three different Hamilton circuits. b.find a Hamilton path... Problem 2E: For the graph shown in Fig. 6-20, a.find three different Hamilton circuits. b.find a Hamilton path... Problem 3E: Find all possible Hamilton circuits in the graph in Fig.6-21 Write your answers using A as the... Problem 4E: Find all possible Hamilton circuits in the graph Fig.6-22. Write your answers using A as the... Problem 5E: For the graph shown in Fig.6-23, a. find a Hamilton path that starts at A and ends at E. b. find a... Problem 6E: For the graph shown in Fig.6-24, a. find a Hamilton path that starts at A and ends at E. b. find a... Problem 7E: Suppose D,G,E,A,H,C,B,F,D is a Hamilton circuit in a graph. a.Find the number of vertices in the... Problem 8E: Suppose G,B,D,C,A,F,E,G is a Hamilton circuit in a graph. a.Find the number of vertices in the... Problem 9E: Consider the graph in Fig. 6-25. a. Find the five Hamilton paths that can be obtained by breaking... Problem 10E: Consider the graph in Fig.6-26. a. Find all the Hamilton circuits in the graph, using B as the... Problem 11E: Consider the graph in Fig.6-27. a. Find all the Hamilton circuits in the graph, using A as the... Problem 12E Problem 13E: For the graph in Fig.6-29 a. find a Hamilton path that starts at A and ends at F. b. find a Hamilton... Problem 14E: For the graph in Fig.6-30 a. find a Hamilton path that starts at B. b. find a Hamilton path that... Problem 15E: Explain why the graph shown in Fig.6-31 has neither Hamilton circuits nor Hamilton paths. Figure6-31 Problem 16E: Explain why the graph shown in Fig.6-32 has neither Hamilton circuits nor Hamilton paths. Figure6-32 Problem 17E: For the weighted shown in Fig 6-33, a.find the weight of edge BD. b.find a Hamilton circuit that... Problem 18E: For the weighted graph shown in Fig6-34, a.find the weight of edge AD. b.find a Hamilton circuit... Problem 19E: For the weighted graph shown in Fig6-35, a.find a Hamilton path that starts at A and ends at C, and... Problem 20E: For the weighted graph shown in Fig6-36, a.find a Hamilton path that starts at B and ends at D, and... Problem 21E: Suppose you have a supercomputer that can generate one billion (109) Hamilton circuits per second.... Problem 22E: Suppose you have a supercomputer that can generate one trillion (1012) Hamilton circuits per second.... Problem 23E Problem 24E: a. How many edges are there in K200? b. How many edges are there in K201? c. If the number of edges... Problem 25E: In each case, find the value of N. a. KN has 120 distinct Hamilton circuits. b. KN has 45 edges. c.... Problem 26E: In each case, find the value of N. a. KN has 720 distinct Hamilton circuits. b. KN has 66 edges. c.... Problem 27E: Find an optimal tour for the TSP given in Fig.6-37, and give its cost. Figure637 Problem 28E: Find an optimal tour for the TSP given in Fig.6-38, and give its cost. Figure638 Problem 29E: A truck must deliver furniture to stores located in five different cities A, B, C, D, and E. The... Problem 30E: A social worker starts from her home A, must visit clients at B, C, D, and Ein any order, and return... Problem 31E: You are planning to visit four cities A, B, C, and D. Table66 shows the time in hours that it takes... Problem 32E: An unmanned rover must be routed to visit four sites labeled A, B, C, and D on the surface of the... Problem 33E: For the weighted graph shown in Fig.6-41, i find the indicated tour, and ii give its cost. Note:... Problem 34E: A delivery service must deliver packages at Buckman (B), Chatfield (C), Dayton (D), and Evansville... Problem 35E Problem 36E: A space mission is scheduled to visit the moons Callisto C, Ganymede G, lo Mimas M, and Titan T to... Problem 37E: This exercise refers to the furniture truck TSP introduced in Exercise 29 see Fig. 6-39. a. Find the... Problem 38E: This exercise refers to the social worker TSP introduced in Exercise 30 see Fig. 6-40. a. Find the... Problem 39E: Darren is a sales rep whose territory consists of the six cities in the mileage chart shown in Fig.... Problem 40E: The Platonic Cowboys are a country and western band based in Nashville. The Cowboys are planning a... Problem 41E: Find the repetitive nearest-neighbor tour and give its cost for the furniture truck TSP discussed in... Problem 42E Problem 43E: This exercise is a continuation of Darrens sales trip problem Exercise 39. Find the repetitive... Problem 44E: This exercise is a continuation of the Platonic Cowboys concert tour Exercise 40. Find the... Problem 45E Problem 46E Problem 47E: Find the cheapest-link tour and give its cost for the furniture truck TSP discussed in... Problem 48E: Find the cheapest-link tour for the social worker TSP discussed in Exercise30(seeFig.640). Problem 49E: For the Brute-Force Bandits concert tour discussed in Exercise35, find the cheapest link tour, and... Problem 50E: For the weighted graph shown in Fig.6-47, find the cheapest-link tour. Write the tour using B as the... Problem 51E: For Darrens sales trip problem discussed in Exercise39, find the cheapest-link tour, and give the... Problem 52E: For the Platonic Cowboys concert tour discussed in Exercise40, find the cheapest-link tour, and give... Problem 53E: A rover on the planet Mercuria has to visit six sites labelled A through F, Figure 6-48 shows the... Problem 54E: A robotic laser must drill holes on five sites A, B, C, D, and E in a microprocessor chip. At the... Problem 55E Problem 56E Problem 57E: Suppose that in solving a TSP you find an approximate solution with the cost of 1614, and suppose... Problem 58E Problem 59E Problem 60E Problem 61E Problem 62E: If the number of edges in K500 is x and the number of edges in K502 is y, what is the value of yx? Problem 63E: Explain why the cheapest edge in any graph is always part of the Hamilton circuit obtained using the... Problem 64E: a. Explain why the graph that has a bridge cannot have a Hamilton circuit. b. Give an example of a... Problem 65E: Julie is the marketing manager for a small software company based in Boston. She is planning a sales... Problem 66E: 66. m by n grid graphs. An m by n grid graph represents a rectangular street grid that is m. blocks... Problem 67E: Complete bipartite graphs. A complete bipartite graph is a graph with the property that the vertices... Problem 68E Problem 69E: Diracs theorem. If G is a connected graph with N vertices (X)N2 for every vertex X, then G has a... format_list_bulleted
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