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".

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".

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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Disjoint set forest

The concept of the disjoint set forest was introduced by Bernard A. Galler and Michael J. Fischer in 1964. The disjoint set forest is a method of implementing disjoint sets quickly. In the disjoint-set forest, each tree member points only to its parent. The root of every tree includes its representative and its parent. The disjoint set forest is a special kind of forest that performs Union and Find operations in near-constant amortized time.

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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".

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Subject : Algorithm and Data Structure
5.04-4. Bellman Ford Algorithm - a change in DV (1, part 4). Consider the network below, and suppose that at t=0, the link between nodes b and c goes down. And so at t=0, node b recomputes its distance vector (DV) and sends out its new DV (as needed). At t=1 this new DV is received at b's neighbors, who then perform their calculation and send out their new DVs (as needed); these new DVs arrive at their neighbors at t=2, and so on. What is the last time in this network at which a DV calculation will take place as a result of the link change at t=0? U O O o 1 1 3 2 at t=0 the link (with a cost of 1) between nodes b and c goes down A 8 1 6 compute 1 1 1 1 an essentially infinite amount of time; this is the count-to-infinity problem 1 Second
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