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....


The Bellman-Ford algorithm correctly finds shortest paths if there is no negative<br>weight cycle reachable from the source. The following show its pseudocode assuming that is<br>the case.<br>A. Bellman-Ford(G, w, s)<br>1. Initialize-Single-Source(G, s)<br>2. for i = 1 to |G.V| – 1<br>3.<br>4.<br>for each edge (u, v) E G.E<br>Relax(u, v, w)<br>Explain why the algorithm works. Particularly, regardless of in which order edges are relaxed<br>in an arbitrary order in lines 3 and 4.<br>

Extracted 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.

Jun 07, 2022
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