Determine the circuit of minimal length in the given graph.NEED STEPSSolution. We can chose any initial vertex, we start from A and we list all the possibilitieswith the corresponding lengths.Path LengthA, B, C, D, A 97A, B, D, C, A 108A, C, B, D, A 141A, C, D, B, A 108A, D, B, C, A 141A, D, C, B, A 97We could also have avoided the circuits in opposite directions.A shortest Hamilton circuit is A, B, C, D, A (or A, D, C, B, A) and it has length 97. 2. Determine the circuit of minimal length in the given graph.204234303512Solution. We can chose any initial vertex, we start from A and we list all the possibilitieswith the corresponding lengths.PathLength97А, В, С, D, AА, В, D, C, AА, С, В, D, AА, С, D, B, AА, D, B, C, AА, D, C, B, A10814110814197We could also have avoided the circuits in opposite directions.A shortest Hamilton circuit is A, B, C, D, A (or A, D, C, B, A) and it has length 97.

Consider the given graph. It has 4 vertices A, B, C and D. We have to determine a circuit of minimal…

Answered: Determine the circuit of minimal length…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Determine the circuit of minimal length in the given graph.

NEED STEPS

Solution. We can chose any initial vertex, we start from A and we list all the possibilities
with the corresponding lengths.
Path Length
A, B, C, D, A 97
A, B, D, C, A 108
A, C, B, D, A 141
A, C, D, B, A 108
A, D, B, C, A 141
A, D, C, B, A 97
We could also have avoided the circuits in opposite directions.
A shortest Hamilton circuit is A, B, C, D, A (or A, D, C, B, A) and it has length 97.

2. Determine the circuit of minimal length in the given graph.
20
42
34
30
35
12
Solution. We can chose any initial vertex, we start from A and we list all the possibilities
with the corresponding lengths.
Path
Length
97
А, В, С, D, A
А, В, D, C, A
А, С, В, D, A
А, С, D, B, A
А, D, B, C, A
А, D, C, B, A
108
141
108
141
97
We could also have avoided the circuits in opposite directions.
A shortest Hamilton circuit is A, B, C, D, A (or A, D, C, B, A) and it has length 97.

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