Consider the network shown below, and assume that each node initially knows the costs of to each of its neighbors. Consider the distance-vector algorithm and show the distance vector entries at node Y. Show your work.
Homework Answers
U V X Y Z
U 0 2 6 2 8
V 1 0 7 3 5
X 6 7 0 4 2
Y 2 3 4 0 6
Z 6 5 2 6 0
From left to right row to column will show th distance to reach at that router and 0 will tell that its self loop.
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Consider the network shown below, and assume that each node
initially knows the costs of to...
1. (20 points) Consider the network shown below, and assume that each node initially knows the...
1. (20 points) Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm and show the distance table entries at each node iteration by iteration until the algorithm converges at all nodes. 10 Iteration 0 Iteration 1 Iteration 2 Iteration n (trust me, n won't be crazily too large)
4. Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm. 6 2 What are the distances from y to all oth...
4. Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm. 6 2 What are the distances from y to all other nodes after y receives one message from each of its direct neighbors (assuming that these messages are the only messages that have been sent and received so far in the entire system)? What are the distances from x to all other nodes after x receives...
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...
Consider the network shown below. The numbers shown for each link are the delays between nearest...
Consider the network shown below. The numbers shown for each
link are the delays between nearest neighbors for that link. Apply
Dijkstra’s algorithm to this network starting at node 1, and label
each node with the shortest path route to node 1.
2 Al 3 5
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...
Distance vector routing In the illustrated network, routes are determined using the distance vector algorithm ....
Distance vector routing
In the illustrated network, routes are determined using the
distance vector algorithm . The marked router
v has been newly added, it only knows the direct
costs to its neighbor routers u ,
y and z .
(a) Specify the distance vectors in all routers
except v before adding v . We
assume that the distance vector algorithm for all routers existing
at this time is already terminated.
(b) Give the initial distance vector in the
router...
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
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...
9 Consider the computer network with nodes and communication links as shown below Each link has...
9 Consider the computer network with nodes and communication links as shown below Each link has a cost associated with it. Find a minimum spanning tree of the network that connects all nodes with minimum total link cost. Specify the minimum total cost You t use Prim's algorithm. Show all steps of the algorithm. mus 2 2 4
Problem 3: Consider the wireless topology below. The solid circles represent the transmission rad...
Problem 3: Consider the wireless topology below. The solid circles represent the transmission radius of nodes A and D, respectively, and the dashed circles represent the transmission range of B and C, respectively. In these problems, assume that losses only occur due to collisions. list the potential hidden terminals and exposed terminals when i) A is transmittng to B (ii) B is transmitting to A (iii) A is transmitting to C (iv) D is transmitting to HB Problem 4: Consider...
1. (20 points) Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm and show the distance table entries at each node iteration by iteration until the algorithm converges at all nodes. 10 Iteration 0 Iteration 1 Iteration 2 Iteration n (trust me, n won't be crazily too large)
4. Consider the network shown below, and assume that each node initially knows the costs to each of its neighbors. Consider the distance-vector algorithm. 6 2 What are the distances from y to all other nodes after y receives one message from each of its direct neighbors (assuming that these messages are the only messages that have been sent and received so far in the entire system)? What are the distances from x to all other nodes after x receives...
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...
Consider the network shown below. The numbers shown for each
link are the delays between nearest neighbors for that link. Apply
Dijkstra’s algorithm to this network starting at node 1, and label
each node with the shortest path route to node 1.
2 Al 3 5
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...
Distance vector routing
In the illustrated network, routes are determined using the
distance vector algorithm . The marked router
v has been newly added, it only knows the direct
costs to its neighbor routers u ,
y and z .
(a) Specify the distance vectors in all routers
except v before adding v . We
assume that the distance vector algorithm for all routers existing
at this time is already terminated.
(b) Give the initial distance vector in the
router...
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
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...
9 Consider the computer network with nodes and communication links as shown below Each link has a cost associated with it. Find a minimum spanning tree of the network that connects all nodes with minimum total link cost. Specify the minimum total cost You t use Prim's algorithm. Show all steps of the algorithm. mus 2 2 4
Problem 3: Consider the wireless topology below. The solid circles represent the transmission radius of nodes A and D, respectively, and the dashed circles represent the transmission range of B and C, respectively. In these problems, assume that losses only occur due to collisions. list the potential hidden terminals and exposed terminals when i) A is transmittng to B (ii) B is transmitting to A (iii) A is transmitting to C (iv) D is transmitting to HB Problem 4: Consider...
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