(1) How many distinct Hamilton circuits are there in this graph starting at vertex A?
(2) Find the minimum-cost Hamilton circuit using the brute force method starting at A.
(3) Use the nearest-neighbor algorithm to find a Hamilton circuit for this graph starting at C. What is the total weight?
(1) How many distinct Hamilton circuits are there in this graph starting at vertex A?
6. HAMILTONIAN CIRCUITS (a) In the graph, there are three distinct Hamiltonian circuits up to the edges used. Find the total cost of these three circuits. (b) If the edge costs represent the distance, in miles, between cities, then which Hamiltonian circuit represents the solution to the traveling salesperson problem? (c) Use the Nearest| Neighbor algorithm starting from vertex H to determine a low cost Hamiltonian circuit. What is the total cost of this circuit? (d) Use the Nearest Neighbor algorithm starting from vertex...
Consider the graph given above. Use the nearest neighbor algorithm to find the Hamiltonian circuit starting at vertex C. a. List the vertices in the 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 the Hamiltonian circuit?
Consider the graph given above. Use the nearest neighbor algorithm to find the Hamiltonian circuit starting at vertex E. 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?
2. Use the brute force algorithm to find and list ALL the weighted Hamilton circuit for the graph, that start and end at W. Then identify the weight and minimum Hamilton circuit for the graph: W 22 2 15 18 Z 30
Apply the repeated nearest neighbor algorithm to the graph above. Starting at which vertex or vertices produces the circuit of lowest cost? А B C DE
Question 5# This question introduces the idea of using a traveling salesman algo- rithm to search for a Hamilton circuit in any simple graph. (a) Find a Hamilton circuit for the graph G in dicated by the diagram at right. Do this by eye', without using any particular algo- rithm. Answer by drawing heavy lines over each edge on your circuit. There are many correct answers. (b) TSP algorithms usually work on a complete V(G)V(G) weighted graph. One wayEG)-[lu.v :...
12 23 Apply the nearest neighbor algorithm to the graph above starting at vertex A. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDA Points possible: 3 This is attempt 1 of 3. Submit
please answer all of the question Brute Force Search A Write all possible circuits for the graph in the form <V,, V2V»,V4,V1> Example: <A,B,C,D,A> 1. There will be 24 possible circuits to list 24 18 27 2 For each circuit, calculate the total distance traveled The to tal distance is the sum of each distance on the route 17 Identify the Optimal Circuit 3. 15 The optimal path is the one with the shortest distance 23 Reflection 4. What about...
Suppose that you start at your home warehouse, visit each of the retum to the home warehouse. Use this information for probleme visit each of the other three cities and formation for problems 7 through 9. 35 Willoughby Home Brecksville 20 33 30 11 Parma 7. List all possible Hamilton circuits for this graph. 8. Using the nearest neighbor method, determine the optimal solution using the brute force method, determine the optimal solution. 9. Using the brute force method, determine...
Consider the graph below. Use Dijkstra's algorithm to find the shortest path from vertex A to vertex C. Write your answer as a sequence of nodes with no blank spaces or any separators in between, starting with the source node: What's the weight of the shortest path?