Hamilton Circuits and Hamilton Paths


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question 1 of 3

How many times do you visit a vertex when traveling either a Hamilton circuit or path?

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1. How many vertices in a graph do you visit by traveling a Hamilton path or circuit?

2. If you started at vertex 1, at which vertex will you end up if you are traveling a Hamilton circuit?

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About This Quiz & Worksheet

Hamilton circuits and paths serve similar purposes but do so in different manners. This quiz/worksheet combo will help you understand what purpose they serve as well as the differences between the two.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • How many times you visit a vertex in a Hamilton circuit and path
  • Choosing how many vertices you visit in a Hamilton path or circuit
  • Identifying what vertex you end on in a Hamilton circuit
  • Practicing finding a Hamilton circuit and path

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on Hamilton circuits and paths
  • Problem solving - use acquired knowledge to find Hamilton circuit and paths in practice problems
  • Knowledge application - use your knowledge to answer questions about vertices in Hamilton circuits and paths

Additional Learning

You're encouraged to also read the related lesson called Hamilton Circuits and Paths. This lesson covers the following objectives:

  • Providing an example of how Hamilton circuits and paths may be used in practice
  • Defining key terms, such as Hamilton circuit and Hamilton path
  • Explaining the differences between circuits and paths