Homework Answers
since bellman ford is a dynamic algorithm, we can relax the edges till the end of the algorithm.Bellman Ford is used to find distance from a vertex to all vertices. Initially I found distance from vertex 7 to 1 . Distance of vertex 2 and 3 to 1 is directly given in graph...distance from remaining other vertex to vertex 1 is also computed above...
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Problem 1. (50 points) Given the following network topology 54 270118 2/36 27 81 (1) Find...
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...
For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15....
For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15. Show BFS traversal. 16. Show the result of a topological sorting of the graph 17. Dijikstra's single source shortest paths for all nodes 18. Show a tabular form soultion of following 0/1 knapsack problem. Value {5,7, 3, 10, 12, 4, 10} Weight {2,3,1,5, 6, 2,4} Total Weight: 12 19. Show a solution to Fractional knapsack problem with the same weight, value, and total weight...
3. Given the graph G shown, we find the shortest paths from node S using the...
3. Given the graph G shown, we find the shortest paths from node S using the Bellman-Ford algorithm. How many iterations does it take before the algorithm converges to the solution? 4 A 1 -2 10 S -9 E 1 10 -8 B 2
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...
Computer Communication Networking 3. Given the following network with assigned weights (10 Points) 3 1 4...
Computer Communication Networking
3. Given the following network with assigned weights (10 Points) 3 1 4 1 Using Dijkstra's algorithm, show shortest path from node u to node z. (Hint, make a table)
2. Consider a set of intersecting rings as in the following figure. Here, a small square represents a node, including nodes that can transfer packets between rings, and each ring has an arrow that in...
2. Consider a set of intersecting rings as in the following
figure. Here, a small square represents a node, including nodes
that can transfer packets between rings, and each ring has an arrow
that indicates the direction of packet flow on that ring. Each ring
is labeled by a lower case Greek letter with the first ring labeled
α .
2.1. Display the adjacency matrix for the network in the
figure.
2.2. Which, if any, nodes are equivalent on the...
Problem 2. (50 points) a) Using nodal analysis find the matrix Y and 1 of the...
Problem 2. (50 points) a) Using nodal analysis find the matrix Y and 1 of the equation Y× V-1. b) Find the unknown node voltages Vı, V2, Vs, and VRI, VR4 of the network in Volt using nodal analysis. R5 R6 RI R4 VRA VRI 4;60552; 19211214 3456 EIRRRRRR 2 1
computer networking help 4. 120 points) Consider a network with the following topology (1) Use Djikistra shortest...
computer networking help
4. 120 points) Consider a network with the following topology (1) Use Djikistra shortest path algorithm to find the spanning tree which contains all form router A to the rest of the routers the network. Show the first 4 steps of the results of the algorithm. (Note that unless specified in figure, all link metrics are 1.) Answer: Step N LA 3.A 2.A (2) Assume that RIP is used as the routing protocol and all link metrics...
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...
Please help me with this answer. Performance Comparison for Dijkstra Algorithm and Bellman-Ford Algorithm Problem Description...
Please help me with this answer. Performance Comparison for Dijkstra Algorithm and Bellman-Ford Algorithm Problem Description The shortest path problem is one of most important problems in graph theory and computer science in general. Shortest path problem is one of typical optimization problems. Given a graph G = (V,E), the goal is to nd a minimum cost path from s → t, s,t ∈ V . This variant is called one-to-one shortest path problem. Other variants are one-to-all (compute shortest...
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...
For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15. Show BFS traversal. 16. Show the result of a topological sorting of the graph 17. Dijikstra's single source shortest paths for all nodes 18. Show a tabular form soultion of following 0/1 knapsack problem. Value {5,7, 3, 10, 12, 4, 10} Weight {2,3,1,5, 6, 2,4} Total Weight: 12 19. Show a solution to Fractional knapsack problem with the same weight, value, and total weight...
3. Given the graph G shown, we find the shortest paths from node S using the Bellman-Ford algorithm. How many iterations does it take before the algorithm converges to the solution? 4 A 1 -2 10 S -9 E 1 10 -8 B 2
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...
Computer Communication Networking
3. Given the following network with assigned weights (10 Points) 3 1 4 1 Using Dijkstra's algorithm, show shortest path from node u to node z. (Hint, make a table)
2. Consider a set of intersecting rings as in the following
figure. Here, a small square represents a node, including nodes
that can transfer packets between rings, and each ring has an arrow
that indicates the direction of packet flow on that ring. Each ring
is labeled by a lower case Greek letter with the first ring labeled
α .
2.1. Display the adjacency matrix for the network in the
figure.
2.2. Which, if any, nodes are equivalent on the...
Problem 2. (50 points) a) Using nodal analysis find the matrix Y and 1 of the equation Y× V-1. b) Find the unknown node voltages Vı, V2, Vs, and VRI, VR4 of the network in Volt using nodal analysis. R5 R6 RI R4 VRA VRI 4;60552; 19211214 3456 EIRRRRRR 2 1
computer networking help
4. 120 points) Consider a network with the following topology (1) Use Djikistra shortest path algorithm to find the spanning tree which contains all form router A to the rest of the routers the network. Show the first 4 steps of the results of the algorithm. (Note that unless specified in figure, all link metrics are 1.) Answer: Step N LA 3.A 2.A (2) Assume that RIP is used as the routing protocol and all link metrics...
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...
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