Maurice Tutor

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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 30 Dec 2017 My Price 5.00

weighted, directed graph

1. Let G = (V,E) be a weighted, directed graph with source vertex s, and let Gbe initialized by INITIALIzE-SINGLE-SOURCE(G,s). Prove that if a sequence of relaxation steps sets s.Ï€ to a non-NIL value, then G contains a negative-weight cycle.

2. Let G = (V,E) be a weighted, directed graph with no negative-weight edges. Let s ∈V be the source vertex, and suppose that we allow υ.π to be the predecessor of υ on any shortest path to υ from source s if υ ∈V – {s} is reachable from s, and NIL otherwise. Give an example of such a graph G and an assignment of υvalues that produces a cycle in Gπ. (By Lemma 24.16, such an assignment cannot be produced by a sequence of relaxation steps.)

Answers

Maurice Tutor
(5)
Status NEW Posted 30 Dec 2017 08:12 PM My Price 5.00

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