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11:34 Practice Problem on Dijkstra's.. 12 8 4 LI P4. Consider the network shown in Problem...
4. Given a network of 8 nodes and the distance between each node as shown in Figure 1: 4 1 7 0 4 4 6 6 Figure 1: Network graph of 8 nodes a) Find the shortest path tree of node 1 to all the other nod...
4. Given a network of 8 nodes and the distance between each node as shown in Figure 1: 4 1 7 0 4 4 6 6 Figure 1: Network graph of 8 nodes a) Find the shortest path tree of node 1 to all the other nodes (node 0, 2, 3, 4, 5, 6 and 7) using Dijkstra's algorithm. b) Design the Matlab code to implement Dijkstra's algorithm
4. Given a network of 8 nodes and the distance between each...
Consider the network shown below. Use Dijkstra's algorithm to find the shortest paths from node a...
Consider the network shown below. Use Dijkstra's algorithm to find the shortest paths from node a to all other nodes. Enter your answers in the a shortest path answers in the following format: node-node-node. For example, if the ssignment link. Enter the shortest path from a to c is through node b, you would enter the answer as: a-b-c 3 5 6 6
Question 1 (1.5 marks) Consider the subnet of the following figure. Shortest Path routing is used, and the weights on each edge is shown. Compute the shortest path from E to D using Dijkstra's al...
Question 1 (1.5 marks) Consider the subnet of the following figure. Shortest Path routing is used, and the weights on each edge is shown. Compute the shortest path from E to D using Dijkstra's algorithm. Show your steps and describe your figures briefly. 4
Question 1 (1.5 marks) Consider the subnet of the following figure. Shortest Path routing is used, and the weights on each edge is shown. Compute the shortest path from E to D using Dijkstra's algorithm. Show...
1. (8 pts) Consider a network with the following topology. Unless indicated otherwise, all links have...
1. (8 pts) Consider a network with the following topology. Unless indicated otherwise, all links have distance = 1. (a) Use the first four steps of using the Dijkistra shortest path algorithm to find the shortest paths from A to the rest of the nodes. (b) Let's assume the distance vector routing algorithm is used. At t = 0, each node only knows the distances to its neighbors. The distances to the other nodes will be set to infinity. Nodes...
5. Apply Dijkstra's algorithm as discussed in class to solve the single-source shortest-paths problem for the...
5. Apply Dijkstra's algorithm as discussed in class to solve the single-source shortest-paths problem for the following graph. Consider node A to be the source. (20 points) a. Show the completed table. b. State the shortest path from A to E and state its length. C. State the shortest path from A to F and state its length. d. State the shortest path from A to G and state its length. A 12 9 B 17 8 7 10 8...
Apply Dijkstra's algorithm as discussed in class to solve the single-source shortest-paths problem for the following...
Apply Dijkstra's algorithm as discussed in class to solve the single-source shortest-paths problem for the following graph. Consider node A to be the source. (20 points) a. Show the completed table. b. State the shortest path from A to E and state its length. State the shortest path from A to F A 9 and state its length. d. State the shortest path from A to G 17 and state its length. 7 C. 12 B 8 10 D 8...
Problem 2. Apply Dijkstra's least-cost or shorted-path algorithm to the network shown on the right. Complete...
Problem 2. Apply Dijkstra's least-cost or shorted-path algorithm to the network shown on the right. Complete the table by filling the T, Lin), and Path on each row to show the result of each iteration. Result of the last iteration, 6, is already provided in red as a way to help you to verify if your iterations are performed correctly. (1 point each box, 30 points in total) Iteration I L(2) Path L(3) Path L(4) Path L(5) Path LO Path...
Consider the following network. a. (16 pt.) With the indicated link costs, use Dijkstra’s shortest-path algorithm...
Consider the following network.
a. (16 pt.)
With the indicated link costs, use Dijkstra’s shortest-path
algorithm to compute the shortest path from “w” to
all network nodes. Show how the algorithm works by computing the
table below. Note: If there exists any tie in each step, choose the
left-most column first.
Step
N’
D(s),
p(s)
D(t),
p(t)
D(u),
p(u)
D(v),
p(v)
D(x),
p(x)
D(y),
p(y)
D(z),
p(z)
0
1
2
3
4
5
6
7
b. (7 pt.)
Construct the...
12 8 4 6 4 6 2. Consider the same network as in Problem 1. Assume node r is the only destinatio...
12 8 4 6 4 6 2. Consider the same network as in Problem 1. Assume node r is the only destination in the network. Use a table to show the computation process of the Bellman-Ford algorithm. Each row in the table corresponds to one iteration of the algorithm, and each column is a pair (D (A), H(A)) where D,(A) is the cost from node i to A and Hi(A) is the next hop on the path from i to...
5. If we apply binary dilation to the same large object twice using the same small...
5. If we apply binary dilation to the same large object twice using the same small structuring element, the effect, if any, of the second dilation on the object is that the object: (a) is unchanged (b) is completely removed (c) becomes larger (d) becomes smaller (e) does not change 6. Which of the following is/are true? (a) Dijkstra's algorithm can be used to find shortest paths in a network (b) Dijkstra's algorithm is a method to find straight lines...
4. Given a network of 8 nodes and the distance between each node as shown in Figure 1: 4 1 7 0 4 4 6 6 Figure 1: Network graph of 8 nodes a) Find the shortest path tree of node 1 to all the other nodes (node 0, 2, 3, 4, 5, 6 and 7) using Dijkstra's algorithm. b) Design the Matlab code to implement Dijkstra's algorithm
4. Given a network of 8 nodes and the distance between each...
Consider the network shown below. Use Dijkstra's algorithm to find the shortest paths from node a to all other nodes. Enter your answers in the a shortest path answers in the following format: node-node-node. For example, if the ssignment link. Enter the shortest path from a to c is through node b, you would enter the answer as: a-b-c 3 5 6 6
Question 1 (1.5 marks) Consider the subnet of the following figure. Shortest Path routing is used, and the weights on each edge is shown. Compute the shortest path from E to D using Dijkstra's algorithm. Show your steps and describe your figures briefly. 4
Question 1 (1.5 marks) Consider the subnet of the following figure. Shortest Path routing is used, and the weights on each edge is shown. Compute the shortest path from E to D using Dijkstra's algorithm. Show...
1. (8 pts) Consider a network with the following topology. Unless indicated otherwise, all links have distance = 1. (a) Use the first four steps of using the Dijkistra shortest path algorithm to find the shortest paths from A to the rest of the nodes. (b) Let's assume the distance vector routing algorithm is used. At t = 0, each node only knows the distances to its neighbors. The distances to the other nodes will be set to infinity. Nodes...
5. Apply Dijkstra's algorithm as discussed in class to solve the single-source shortest-paths problem for the following graph. Consider node A to be the source. (20 points) a. Show the completed table. b. State the shortest path from A to E and state its length. C. State the shortest path from A to F and state its length. d. State the shortest path from A to G and state its length. A 12 9 B 17 8 7 10 8...
Apply Dijkstra's algorithm as discussed in class to solve the single-source shortest-paths problem for the following graph. Consider node A to be the source. (20 points) a. Show the completed table. b. State the shortest path from A to E and state its length. State the shortest path from A to F A 9 and state its length. d. State the shortest path from A to G 17 and state its length. 7 C. 12 B 8 10 D 8...
Problem 2. Apply Dijkstra's least-cost or shorted-path algorithm to the network shown on the right. Complete the table by filling the T, Lin), and Path on each row to show the result of each iteration. Result of the last iteration, 6, is already provided in red as a way to help you to verify if your iterations are performed correctly. (1 point each box, 30 points in total) Iteration I L(2) Path L(3) Path L(4) Path L(5) Path LO Path...
Consider the following network.
a. (16 pt.)
With the indicated link costs, use Dijkstra’s shortest-path
algorithm to compute the shortest path from “w” to
all network nodes. Show how the algorithm works by computing the
table below. Note: If there exists any tie in each step, choose the
left-most column first.
Step
N’
D(s),
p(s)
D(t),
p(t)
D(u),
p(u)
D(v),
p(v)
D(x),
p(x)
D(y),
p(y)
D(z),
p(z)
0
1
2
3
4
5
6
7
b. (7 pt.)
Construct the...
12 8 4 6 4 6 2. Consider the same network as in Problem 1. Assume node r is the only destination in the network. Use a table to show the computation process of the Bellman-Ford algorithm. Each row in the table corresponds to one iteration of the algorithm, and each column is a pair (D (A), H(A)) where D,(A) is the cost from node i to A and Hi(A) is the next hop on the path from i to...
5. If we apply binary dilation to the same large object twice using the same small structuring element, the effect, if any, of the second dilation on the object is that the object: (a) is unchanged (b) is completely removed (c) becomes larger (d) becomes smaller (e) does not change 6. Which of the following is/are true? (a) Dijkstra's algorithm can be used to find shortest paths in a network (b) Dijkstra's algorithm is a method to find straight lines...
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