EBK COMPUTER NETWORKING
7th Edition
ISBN: 8220102955479
Author: Ross
Publisher: PEARSON
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Chapter 5, Problem P5P
Program Plan Intro
Distance
In data network, the distance vector algorithm determines the best route for data packets calculated based on the distance.
- The distance is measured by the number of routers a packet has to pass.
- The exchange of information with one another helps to determine the best route across the network.
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P5. 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 node z. The resulting answer should replicate the technique used in Fig 5.6, though it will vary slightly as there are more than three variables in this specific problem.
In a network of N nodes, how many iterations are required for Dijkstra's algorithm to completes its
execution.
Hint: Section 5.2.1 has the pseudo code for Dijkstra's link state algorithm that finds the shortest
path from a source node to every node in the network. Professor Kurose shows the pseudo code in
his video. The pseudo code in the text shows an initialization step and then a loop. How many
times would the loop be executed for a network of N nodes?
O N+1 times
ON-1 times
ON times
O N² times
Use 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.
Chapter 5 Solutions
EBK COMPUTER NETWORKING
Ch. 5 - SECTION 5.1 R1. What is meant by a control plane...Ch. 5 - Prob. R2RQCh. 5 - Prob. R3RQCh. 5 - Prob. R4RQCh. 5 - Prob. R5RQCh. 5 - Prob. R6RQCh. 5 - Prob. R7RQCh. 5 - Prob. R8RQCh. 5 - Prob. R9RQCh. 5 - Prob. R10RQ
Ch. 5 - Prob. R11RQCh. 5 - Prob. R12RQCh. 5 - Prob. R13RQCh. 5 - Prob. R14RQCh. 5 - Prob. R15RQCh. 5 - Prob. R16RQCh. 5 - Prob. R17RQCh. 5 - Prob. R18RQCh. 5 - Prob. R19RQCh. 5 - Prob. R20RQCh. 5 - Prob. R21RQCh. 5 - Prob. R22RQCh. 5 - Prob. R23RQCh. 5 - Prob. P1PCh. 5 - Prob. P2PCh. 5 - Prob. P5PCh. 5 - Prob. P7PCh. 5 - Prob. P8PCh. 5 - Prob. P9PCh. 5 - Prob. P10PCh. 5 - Prob. P12PCh. 5 - Prob. P13PCh. 5 - Prob. P14PCh. 5 - Prob. P15PCh. 5 - Prob. P16PCh. 5 - Prob. P17PCh. 5 - Prob. P18PCh. 5 - Prob. P19PCh. 5 - Prob. P20PCh. 5 - Prob. P21PCh. 5 - Prob. P22P
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Similar questions
- Write the algorithm that finds and returns how many paths in k units of length between any given two nodes (source node, destination node; source and target nodes can also be the same) in a non-directional and unweighted line of N nodes represented as a neighborhood matrix. (Assume that each side in the unweighted diagram is one unit long.) Note: By using the problem reduction method of the Transform and Conquer strategy, you have to make the given problem into another problem. Algorithm howManyPath (M [0..N-1] [0..N-1], source, target, k)// Input: NxN neighborhood matrix, source, target nodes, k value.// Ouput: In the given line, there are how many different paths of k units length between the given source and target node.arrow_forwardExample: Find the shortest path between the Node (x) and all the remaining Nodes (y, w, z, v, t, u and s) in the network shown in Figure below by Dijkstra’s Algorithm.arrow_forwardgive an example of a network with no more than 6 nodes and define all the data structure used by a distence vector and a link state algorithm. perform one iteration for both the algorithm families and show the aforementioned structires are uptadedarrow_forward
- 5.04-3. Bellman Ford Algorithm - a change in DV (1, part 3). Consider the network below, and suppose that at t=0, the link between nodes g and h goes down. And so at t=0, nodes g and h recompute their DVs. Following this recomputation, to which nodes will h send its new distance vector? (Note: to answer this question, you'll need to know some of the DV entries at g and h at t=0, but hopefully they'll be obvious by inspection). a 1 1 at t=0 the link (with a cost of 6) between nodes g and h goes down b. compute ∞ g all nodes 8 1 6 1 e 1 compute h 1 1 1 1 node i only nodes i and e only O node h does not send out its distance vector, since none of the least costs have changed to any destination. O nodes i and e and g only node e onlyarrow_forward5.04-3. Bellman Ford Algorithm - a change in DV (1, part 3). Consider the network below, and suppose that at t=0, the link between nodes g and h goes down. And so at t=0, nodes g and h recompute their DVs. Following this recomputation, to which nodes will h send its new distance vector? (Note: to answer this question, you'll need to know some of the DV entries at g and hat t=0, but hopefully they'll be obvious by inspection). 1 compute g- node i only node e only all nodes at t=0 the link (with a cost of 6) between nodes g and h goes down 8. 00 1 1 1 compute h nodes i and e and g only 1 1 1 1 node h does not send out its distance vector, since none of the least costs have changed to any destination. O nodes i and e onlyarrow_forward5.04-3. Bellman Ford Algorithm - a change in DV (1, part 3). Consider the network below, and suppose that at t=0, the link between nodes g and h goes down. And so at t=0, nodes g and h recompute their DVs. Following this recomputation, to which nodes will h send its new distance vector? (Note: to answer this question, you’ll need to know some of the DV entries at g and h at t=0, but hopefully they’ll be obvious by inspection).arrow_forward
- 5.01-1. Dijkstra's Algorithm (1, part 1). Consider the network shown below, and Dijkstra's link-stat algorithm to find the least cost path from source node U to all other destinations. Using the algorithm statement and its visual representation used in the textbook, complete the first row in the table below showing the link state algorithm's execution by matching the table entries (a), (b), (c), an (d) with their values. Write down your final [correct] answer, as you'll need it for the next question. Step 0 (a) (b) (c) (d) 3 8 V 2 X N' u 4 2 6 -W 3 D(v),p(v) D(v).p(v) (a) 1 SZ 1 W X D(w),p(w) D(x).p(x) (b) (c) [Choose ] [Choose ] 5,x 6,v 3,u 4,v 1,u 8,u 2,u infinity 7,u [Choose ] Z D(y).p(y) D(z).p(z) (d) ∞arrow_forwarda. Build an adjacency matrix ? for this map. b. How many paths of length 2 from V5 to V1 exist? c. How many paths of length 3 from V5 to V1 exist?arrow_forwardConsider a network that is a rooted tree, with the root as its source, the leaves as its sinks, and all the edges directed along the paths from the root to the leaves. Design an efficient algorithm for finding a maximum flow in such a network. What is the time efficiency of your algorithm? Describe your algorithm step by step.arrow_forward
- 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.arrow_forwardQ-3: Write a linear programming model for the network given below which can be used to find the shortest path between nodes 1 to 7. 16 9 35 3 15 12 25 22 14 17 19 6 14 8arrow_forwardUse 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:arrow_forward
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