Answered: Algorithm 7.3 Dijkstra’s Algorithm 1:…

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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Algorithm 7.3 Dijkstra’s Algorithm
1: Input : G = (V, E, w) connected, weighted graph G and a source vertex s
2: Output : d[n] and p[n] distances and parents of vertices in shortest path tree
3: for all v ∈ V \ {s} do initialize all vertices except source s
4: d[v]←∞
5: p[v]←−1
6: end for
7: d[s] = 0; p[s] = s initialize source
8: S ← V
9: while S = Ø do
10: find u ∈ S with minimum distance value
11: for all (u, v) ∈ E do update neighbor distances to v
12: if d[v] > d[u] + w(u, v) then
13: d[v] ← d[v] > d[u] + w(u, v)
14: p[v] ← u update parent
15: end if
16: end for
17: S ← S \ {u} remove u from searched
18: end while

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