Find a Hamiltonian circuit for the graph using the Cheapest-Link (Sorted edge) Algorithm. 2. Find a...
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?
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?
6. Solve the Traveling Salesperson Problem using the Cheapest Link Algorithm: A 24 B
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...
3. Apply Topological sort algorithm on the following graph. Then, draw the sorted graph. 11 marvel
(a) Using the three rules that must be followed to when building a Hamiltonian circuit, give a careful step by step argument to show that the following graph G does not have a Hamiltonian circuit. Explain your work in details Consider two possible cases: Case 1: At the vertex 1, choose edges 17 and 12 4. 4 Case 2: At the vertex 1. Choose edges 16 and 12. (a) Using the three rules that must be followed to when building...
Question 3 Apply Kruskal's algorithm to find Minimum Spanning Tree for the following graph. (In the final exam, you might be asked about Prim's algorithm or both). Weight of edge(1,2) = 10 Weight of edge(2,4)= 5 Weight of edge(6,4)=10 Weight of edge(1,4) = 20 Weight of edge(2,3) = 3 Weight of edge(6,5)= 3 Weight of edge(1,6) = 2 Weight of edge(3,5) = 15 Weight of edge(4,5)= 11
Algorithm Question 5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in which the edges are chosen, breaking ties by using vertices at the same length in alphabetic orde. 3 Ga 2 5. Below is a graph with edge lengths. Apply Dijkstra's algorithm to find the shortest paths, starting at vertex A, to all other vertices. Write down the sequence in...
11. Apply backtracking to the problem of finding a Hamiltonian circuit in the following graph. d.
G3: I can determine whether a graph has an Euler trail (or circuit), or a Hamiltonian path (or cycle), and I can clearly explain my reasoning. Answer each question in the space provided below. 1. Draw a simple graph with 7 vertices and 11 edges that has an Euler circuit. Demonstrate the Euler circuit by listing in order the vertices on it. 2. For what pairs (m, n) does the complete bipartite graph, Km,n contain a Hamiltonian cycle? Justify your...