3. Consider the following network. With the indicated link costs, use Dijkstra's shortest-path algorithm to compute the shortest path from x to all network nodes. Show how the algorithm works by computing a table similar to Table 4.3.
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Network Routing Analysis - Algorithms
Consider the following network. With the indicated link costs, use Dijkstra’s
shortest-path
Show how the algorithm works by computing a table similar to Table 4.3.
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- Consider the network shown below, and Dijkstra’s link-state algorithm. Here, we are interested in computing the least cost path from node E to all other nodes using Dijkstra's algorithm. Using the algorithm statement used in the textbook and its visual representation, complete the "Step 3" row in the table below showing the link state algorithm’s execution by matching the table entries (i), (ii), (iii), (iv) and (v) with their values.Consider the following three-node topology, with link costs c(x,y)=2, c(y,z)=3, c(zx)=6. Compute the distance tables after the initialization step and after each iteration of a synchronous version of the distance-vector algorithm (as the slide #92 in network slides). Na) Given the following undirected graph: 4 1 5 3 Represent the graph as: (i) Adjacency matrix (ii) Adjacency list (iii) Incidence matrix 5 9 A 6 15 20 2 10 7 3 درا 2
- DIJKSTRA'S LINK STATE ALGORITHM (FOR COMPUTING LEAST COST PATHS) Consider the 6-node network shown below, with the given link costs. 5 QUESTION 1 OF 3 5 2 1 X 7 6 6 W 6 Using Dijkstra's algorithm, find the least cost path from source node U to all other destinations and answer the following questions What is the shortest distance to node v and what node is its predecessor? Write your answer as n,p ZUse the provided data to create the Dijkstra Shortest Weighted Path method.Precondition: S is a node in the weighted (directed or undirected) network G.Post-cond: specifies the shortest weighted route between each node of G and s, and d specifies the lengths of those paths.Consider the following network. With the indicated link costs, use Djikstra’s shortest- path algorithm to compute the table of shortest paths from A to all other network nodes. Show how the algorithm works by filling out the table below. Use column “N" for “all visited nodes in current step", and each row for "distance and predecessor of each destination node once a new node is visited".
- d) Consider the network shown on the link below, with the indicated link costs. Use Dijkstra's shortest path algorithm to compute the graph of the shortest path from A to all network nodes i.e. B, C, D, E, and F. B 2 C 4. A •D 1. É 8 FUsing Dijkstra’s algorithm, and showing your work using a table similar to Table 5.1 , do the following: a. Compute the shortest path from t to all network nodes.Link State (Dijkstra's) Routing Algorithm. Find the shortest paths from source node D toevery other node in the network, and write the distances and the previous node P(j) at each time step t in the tablegiven below. Make sure t is sufficiently large for the algorithm to fınd all the shortest paths from D to other nodes. D A F 2 E B H 2
- Question 2 a) Given the following undirected graph: LO 5 1 3 LO 5 Represent the graph as: (i) Adjacency matrix (ii) Adjacency list (iii) Incidence matrix 4 2 6 15 20 2 4 10 7 3 3 2Use your tabulated solutions from the uploaded pdf to answer the following questions. Based on your tabulation of executed iteration for the Dijkstra Algorithm with Customer 6 (C6) connected to Router 6 (R6), which iteration Node Sets consist of the shortest path for R10? Your answer must correspond to the exact Nodes Sets indicated in the table. Examples: [6] or [6,3,2,1,4], etc. Answer:What is the shortest path from node A to node D, where shortest path is defined as the path with the smallest sum of the delays on each individual link? Explain exactly how you went about finding that path.