Answered: We have the following directed graph G,…

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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Question

We have the following directed graph G, where the number on each edge is the cost of the edge. 1. Step through Dijkstra’s Algorithm on the graph starting from vertex s, and complete the table below to show what the arrays d and p are at each step of the algorithm. For any vertex x, d[x] stores the current shortest distance from s to x, and p[x] stores the current parent vertex of x. 2. After you complete the table, provide the returned shortest path from s to t and the cost of the path.

Initialization
Immediately
after iteration 1
Immediately
after iteration 2
Immediately
after iteration 3
Immediately
after iteration 4
Final status
d[s] d[u] d[v] d[w] d[t] p[s] p[u] p[v] p[w] p[t]
0
∞o
∞o
∞
None None
None
None None
0
None
S
None None None
∞o
3
∞
∞o
∞

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