has a Hamilton path that starts at G and ends at D. has no Hamilton path. has a Hamilton path that starts at E and ends at G. has a Hamilton path that starts at A and ends at B.

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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**Question 11: The following graph**

**Diagram Description:**
The diagram is a graph consisting of seven vertices labeled A, B, C, D, E, F, and G. The vertices are connected by edges forming a series of paths:

- A is connected to B, D, and E.
- B is connected to A, F, and G.
- C is connected to D and G.
- D is connected to A, C, and F.
- E is connected to A.
- F is connected to B and D.
- G is connected to B and C.

**Options:**
A) The graph has a Hamilton path that starts at G and ends at D.
B) The graph has no Hamilton path.
C) The graph has a Hamilton path that starts at E and ends at G.
D) The graph has a Hamilton path that starts at A and ends at B.
Transcribed Image Text:**Question 11: The following graph** **Diagram Description:** The diagram is a graph consisting of seven vertices labeled A, B, C, D, E, F, and G. The vertices are connected by edges forming a series of paths: - A is connected to B, D, and E. - B is connected to A, F, and G. - C is connected to D and G. - D is connected to A, C, and F. - E is connected to A. - F is connected to B and D. - G is connected to B and C. **Options:** A) The graph has a Hamilton path that starts at G and ends at D. B) The graph has no Hamilton path. C) The graph has a Hamilton path that starts at E and ends at G. D) The graph has a Hamilton path that starts at A and ends at B.
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