DIJKSTRA'S LINK STATE ALGORITHM (FOR COMPUTING LEAST COST PATHS) Consider the 6-node network shown below, with the given link costs. u 5 QUESTION 1 OF 3 5 1 X 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 Z

DIJKSTRA'S LINK STATE ALGORITHM (FOR COMPUTING LEAST COST PATHS) Consider the 6-node network shown below, with the given link costs. u 5 QUESTION 1 OF 3 5 1 X 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 Z

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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111. distances between nodes in an eight-node network is presented in the from-to distance table below. What is the shortest distance between node 1 to node 8?
Given the following graph G1 in Figure 1, find the minimum spanning tree and total cost using the Prim's algorithm, and starting at node G. Show only the resulting minimum spanning tree and its total cost. At any point during the algorithm, if you have a tie between multiple nodes to add to the minimum spanning tree, choose the one with the smallest lexicographic (Alphabetical) order. Show intermediate results. 2 D 1 4 3 A E 1 1 1 В F 5 G 4 3 H 1 I J Figure 1. Graph G1 2.
Given the following weighted graph 6 A B 2 1 4 5 1 D E 0 Use Dijkstra's algorithm to find the shortest path and the total weight from the source node A to all other nodes. Show your steps clearly.
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 only
Q1 Consider the following graph representing a network with a, b, c, d, e and z routers andthe metric is the distance. Image attached based on the attached image please show execution of Dijkastra’s algorithm to find the shortest path from router a to all other routers. Thank you in advance!
9.a. Find the shortest paths from node 1 to all nodes of the following network using Dijkstra's algorithm. 3 4 7 25 15 11 16 13 5 3 8 2.
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4. For the graph below: 5 2 1 20 14 a. What is the shortest route from 0 to 3? What is the shortest route from 0 to 8? (Route length is the sum of the weights of the edges in the route. When no weight is assigned to an edge the weight is assumed to be 1.) b. What is the shortest route from 5 to 2? What is the shortest route from 5 to 5 to 2? c. What is the shortest route from 7 to 2? From 7 to 0?
For nodes 0000 and 1111, there exists four node-disjoint paths of length 4 (which happens to be the hamming distance between them). These paths are listed as travel from source 0000 through dimension 0-1-2-3 or 1-2-3-0 or 2-3-0-1 or 3-0-1-2 to the destination 1111. Question 1: how many node-disjoint paths between nodes 0000 and 1010 and what are their length? Question 2: for any two arbitrary nodes with the hamming distance r, how many node-disjoint paths among them with the distance r and what are they?
(NOTE: Please elaborate on the answer and explain. Please do not copy-paste the answer from the internet or from Chegg or any other sites)
3 Given the following network configuration (A,B... stand for node name, 1,2... stand for the length of the link), please apply Dijkstra's algorithm to caleulate the shortest path from A to all the other nodes and answer following questions. E 2 2 D F 5 3 A 1 G Simulate the execution of Dijkstra Algorithm round by round with fulfilling the following table. (6') Node Set B D E G A 2, A 1,A 5, A INF INF 4,A INF AC 2, A 5, A INF INF 3,С INF (Here, the row number stands for the iteration rounds. The column, node-set, stands for the node set which already been computed with the shortest path in each round. The column of each node stands for the length of the shortest path from node A to the corresponding node, and the previous node in the path in each round. INF stands for infinite. The first and second round execution has already been given.) (Draw the table in the paper and write the answer in the paper as well. Then upload the picture. LO 3.
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