Use the Edge-Picking Algorithm to find a Hamiltonian circuit in the weighted graph. B 54 42 36 -15- 34 24 38 49 E O A-B-C-D-E-A O A-E-D-C-B-A O A-C-E-D-B-A O A-D-E-C-B-A О А-С-E-B-D-A

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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**Transcription:**

**Title:** Use the Edge-Picking Algorithm to find a Hamiltonian circuit in the weighted graph.

**Graph Description:**

The graph is a pentagon with vertices labeled A, B, C, D, and E. The edges between these vertices have the following weights:

- AB: 27
- BC: 54
- CD: 49
- DE: 68
- EA: 38
- AC: 34
- AD: 36
- BE: 15
- BD: 42
- CE: 24

**Multiple Choice Options:**

- ○ A-B-C-D-E-A
- ○ A-E-D-C-B-A
- ○ A-C-E-D-B-A
- ○ A-D-E-C-B-A
- ○ A-C-E-B-D-A

**Instructions:** 
Apply the Edge-Picking Algorithm to determine which sequence represents a Hamiltonian circuit in the given weighted graph.
Transcribed Image Text:**Transcription:** **Title:** Use the Edge-Picking Algorithm to find a Hamiltonian circuit in the weighted graph. **Graph Description:** The graph is a pentagon with vertices labeled A, B, C, D, and E. The edges between these vertices have the following weights: - AB: 27 - BC: 54 - CD: 49 - DE: 68 - EA: 38 - AC: 34 - AD: 36 - BE: 15 - BD: 42 - CE: 24 **Multiple Choice Options:** - ○ A-B-C-D-E-A - ○ A-E-D-C-B-A - ○ A-C-E-D-B-A - ○ A-D-E-C-B-A - ○ A-C-E-B-D-A **Instructions:** Apply the Edge-Picking Algorithm to determine which sequence represents a Hamiltonian circuit in the given weighted graph.
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