Answered: Algorithm Bellman_Ford 1: procedure…

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 Bellman_Ford
1: procedure Bellman_Ford(G,s)
2: for all {v} ∈ V do initialize
3: d[v]←∞
4: p[v] ← Ø
5: end for
6: d[s] ← 0 s has 0 cost
7: for k = 1 to n − 1 do
8: for all (u, v) ∈ E do relaxation
9: if d[v] > d[u] + w[u, v] then
10: d[v] = d[u] + w[u, v]
11: p[v] ← u
12: end if
13: end for
14: end for
15: for all (u, v) ∈ E do
16: if d[v] > d[u] + W[u, v] then
17: return Ø a negative cycle detected
18: end if
19: end for
20: return d, P
21: end procedure

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