V2 4 U5 Consider the following network (G, w). VI 2 2 4 1 U3 00 2 2 2 2 07 (b) Explain the effect each of the following changes of the length of a single edge would have on the length of a shortest v₁-17-path: an increase of w(v3v4) from 1 to 2;

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Consider the following network (G, w).
V2
4
2
Vi
་
2
1
V3
00
VA
1
2
V5
2
-
2
2
07
(b) Explain the effect each of the following changes of the length of a single edge
would have on the length of a shortest v₁-7-path:
an increase of w(v3v4) from 1 to 2;
a decrease of w(v6v7) from 2 to 1;
a decrease of w(v3v5) from 4 to 1.
Transcribed Image Text:2. Consider the following network (G, w). V2 4 2 Vi ་ 2 1 V3 00 VA 1 2 V5 2 - 2 2 07 (b) Explain the effect each of the following changes of the length of a single edge would have on the length of a shortest v₁-7-path: an increase of w(v3v4) from 1 to 2; a decrease of w(v6v7) from 2 to 1; a decrease of w(v3v5) from 4 to 1.
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