Consider the directed network (D, w) with V(D) = {a, b, c, d, e}, and w: A(D)R with - A(D) {ab, ac, ace, bd, cd, ce, ea, eb}, w(ab) 2, w(ac)=2, w(ae) = 1, w(bd)=2, w(cd) 1, w(ce)=-3, w(ea)=1, w(eb)=1. Use the Bellman-Ford algorithm to find a shortest directed a-d-path in (D, w). Show your working, and give the path and its length.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
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Consider the directed network (D, w) with V(D) = {a, b, c, d, e},
and w: A(D)R with
-
A(D) {ab, ac, ace, bd, cd, ce, ea, eb},
w(ab) 2, w(ac)=2, w(ae) = 1, w(bd)=2,
w(cd) 1, w(ce)=-3, w(ea)=1, w(eb)=1.
Use the Bellman-Ford algorithm to find a shortest directed a-d-path in (D, w).
Show your working, and give the path and its length.
Transcribed Image Text:Consider the directed network (D, w) with V(D) = {a, b, c, d, e}, and w: A(D)R with - A(D) {ab, ac, ace, bd, cd, ce, ea, eb}, w(ab) 2, w(ac)=2, w(ae) = 1, w(bd)=2, w(cd) 1, w(ce)=-3, w(ea)=1, w(eb)=1. Use the Bellman-Ford algorithm to find a shortest directed a-d-path in (D, w). Show your working, and give the path and its length.
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