6. (6) Use the graph on the left to find the nearest neighbor solution and its total weight for a Hamilton circuit starting at vertex A. Shade the appropriate edges. Do the same problem on the right starting at B. Be sure to give the total weights of our solutions.
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Consider the graph given above. Use the nearest neighbor algorithm to find the Hamiltonian circuit starting at vertex V. a. List the vertices in this Hamiltonian circuit in the order they are visited. Do not forget to include the starting vertex at both ends. b. What is the total weight along this Hamiltonian circuit? Now use the sorted edges algorithm to find a Hamiltonian circuit. c. List the weights in this Hamiltonian circuit in the order they are chosen by the algorithm. d. What is the total weight along this Hamiltonian circuit?
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AB = 122 AC = 178 AD = 194 AE = 106 BC = 179 BD = 200 BE = 135 CD = 166 CE = 185 DE = 148 Find the Nearest Neighbor Circuit for each vertex. Also give the weight of each circuit: Starting Vertex Circuit Weight
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4. Solve the travelling problem for the given graph by finding the total weight of all Hamilton circuits and determining a circuit with minimum total weight.
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