Euler Paths and Euler's Circuits

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

How many Euler circuits are in this graph?

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1. Which of the following is a Euler path?

2. At most, _____ of the verticies will be of an odd degree in a semi-Eulerian graph.

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About This Quiz & Worksheet

The test will present you with images of Euler paths and Euler circuits. The questions will then ask you to pinpoint information about the images, such as the number of circuits or the number of paths. Some questions will also ask you to identify the correct Euler path from a collection of images.

Quiz & Worksheet Goals

The assessment will require you to know the following definitions :

  • Euler paths
  • Euler circuits
  • Semi-Euler graphs
  • Vertices

Skills Practiced

The quiz will help you practice the following skills:

  • Making connections - use understanding of the concept of Euler paths and Euler circuits
  • Problem solving - use acquired knowledge to solve Euler path and circuits practice problems
  • Defining key concepts - ensure that you can accurately define main phrases, such as vertices and semi-Euler graphs

Additional Learning

Go over to the corresponding lesson called Euler's Paths and Euler's Circuits to further deepen your grasp on the material. The lesson covers these following topics:

  • Defining Euler paths
  • Understanding Euler circuits
  • Distinguishing between Euler paths and Euler circuits
  • Identifying semi-Euler graphs
  • Characterizing vertices in Euler paths and circuits
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