Find a Hamiltonian circuit in the following graph. (There is more than one possible answer.) Either clearly mark the path you take with directional arrows and numbers or list the vertices in the order that you visit them
Find a Hamiltonian circuit in the following graph. (There is more than one possible answer.) Either clearly mark the path you take with directional arrows and numbers or list the vertices in the order that you visit them
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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Question
Find a Hamiltonian circuit in the following graph. (There is more than one possible answer.) Either clearly mark the path you take with directional arrows and numbers or list the vertices in the order that you visit them.

Transcribed Image Text:The image shows a geometrical diagram with a large rectangle labeled along the edges as follows:
- Top left corner: A
- Top right corner: B
- Bottom left corner: E
- Bottom right corner: F
Inside the rectangle, there are two points labeled C and D located near the center. Point C is slightly towards the left, while point D is slightly towards the right.
Lines are drawn connecting these points in the following manner:
- Line segment AC connects point A to point C.
- Line segment BD connects point B to point D.
- Line segment CD connects point C to point D.
- Line segment CE connects point C to point E.
- Line segment DF connects point D to point F.
These lines form two triangles within the rectangle: triangle ACB and triangle EFD. The rectangle itself is divided into several smaller sections by these intersecting lines. Each corner of the rectangle is connected to a central point, demonstrating a pattern of intersection that emphasizes the symmetry within the shape.
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