Euler and Hamilton circuits, assignment help

Below is a link to a worksheet that allows you to practice finding Euler and Hamiltonian paths. Remember, this question is asking about a circuit which begins and ends at the same vertex. However, hopefully getting familiar with the differences between Euler and Hamiltonian will help you answer this question.

http://www.cut-the-knot.org/Curriculum/Combinatorics/GraphPractice.shtml

Describe a problem involving relationships that you could solve by applying a function. Determine the steps for solving this problem.
Provide an example of an application for Euler and Hamilton circuits that is not mentioned in your textbook. Provide a rationale with your response.

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