weight cycle reachable from the source. The following show its pseudocode assuming that is the case. A. Bellman-Ford(G, w, s) 1. Initialize-Single-Source(G, s) |2. for i = 1 to |G.V| – 1 3. 4. for each edge (u, v) E G.E Relax(u, v, w) Explain why the algorithm works. Particularly, regardless of in which order edges are relaxed in an arbitrary order in lines 3 and 4.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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The Bellman-Ford algorithm correctly finds shortest paths if there is no negative
weight cycle reachable from the source. The following show its pseudocode assuming that is
the case.
A. Bellman-Ford(G, w, s)
1. Initialize-Single-Source(G, s)
2. for i = 1 to |G.V| – 1
3.
4.
for each edge (u, v) E G.E
Relax(u, v, w)
Explain why the algorithm works. Particularly, regardless of in which order edges are relaxed
in an arbitrary order in lines 3 and 4.
Transcribed Image Text:The Bellman-Ford algorithm correctly finds shortest paths if there is no negative weight cycle reachable from the source. The following show its pseudocode assuming that is the case. A. Bellman-Ford(G, w, s) 1. Initialize-Single-Source(G, s) 2. for i = 1 to |G.V| – 1 3. 4. for each edge (u, v) E G.E Relax(u, v, w) Explain why the algorithm works. Particularly, regardless of in which order edges are relaxed in an arbitrary order in lines 3 and 4.
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