Consider the graph given above. Use the nearest neighbor algorithm to find the Hamiltonian circuit starting at vertex E.

Question

Question

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?

Answer 1

Answer #1

The solution of the given problem is below:

Hamiltonian circuit-- It is a sequence of vertices in which we traverse each and every vertices of a graph exactly one.

and starting and ending vertices should be the same.

There can be more than one hamiltonian circuit possible for every graph.

The hamiltonian circuit of the given graph by nearest algorithm is:

( EHFGIJE )

The total weight along this circuit is:

11+12+19+16+ 24+21=103

Please upvote if u have any doubts comment me.

Answer 2

Similar Homework Help Questions

Consider the graph given above. Use the nearest neighbor algorithm to find the Hamiltonian circuit starting at vertex C.

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?
Apply the repeated nearest neighbor algorithm to the graph above. Starting at which vertex or vertices produces the circuit of lowest cost?

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
12 23 Apply the nearest neighbor algorithm to the graph above starting at vertex A. Give...

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

Apply the repeated nearest neighbor algorithm to the graph above.

Apply the repeated nearest neighbor algorithm to the graph above. Give your answer as a list of vertices, starting at vertex A, continuing through vertex E, and ultimately ending at vertex A.
Apply the repeated nearest neighbor algorithm to the graph above. Give your answer as a list of vertices, starting and ending at vertex A.

Apply the repeated nearest neighbor algorithm to the graph above. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDEFA
In the graph, there are three distinct Hamiltonian circuits up to the edges used. Find the total cost of these three circuits.

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...

(1) How many distinct Hamilton circuits are there in this graph starting at vertex A?

(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?
Consider the graph given above. Use Dijkstra's algorithm to find the shortest path between B and ...

Consider the graph given above. Use Dijkstra's algorithm to find the shortest path between B and O. a. List the vertices in the order they are visited as specified by the algorithm. b. What is the total weight along the path? 52 41 G 26 14 H 12 50 35 44 15 9 47 8 37 38 42 29 H 32 51 30 19 46 48 43 18 34 17 0 13 F 52 41 G 26 14 H 12...
for this graph starting at vertex H. Ties should be resolved by whichever vertex is alphabetically...

for this graph starting at vertex H. Ties should be resolved by whichever vertex is alphabetically earlier. list the order the vertices are removed during Dijkstra's algorithm for this graph starting at vertex H. Also list any update to the known distance values for neighboring vertices (including the initial update from infinity to a known value). Also include a list of edges (pairs of vertices) in the tree that is formed as part of the traversal in Dijkstra's algorithm. Ties...

Consider the weighted graph below: Demonstrate Prim's algorithm starting from vertex A. Write the edges in...

Consider the weighted graph below: Demonstrate Prim's algorithm starting from vertex A. Write the edges in the order they were added to the minimum spanning tree. Demonstrate Dijkstra's algorithm on the graph, using vertex A as the source. Write the vertices in the order which they are marked and compute all distances at each step.