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

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
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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.
S
3
u
2
4
V
1
W
4
2
t
Transcribed Image Text:S 3 u 2 4 V 1 W 4 2 t
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
∞
Transcribed Image Text: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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