Mathematical Models of Euler's Circuits & Euler's Paths


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question 1 of 3

How many Euler paths does this graph have?

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1. A graph with an Euler path can have at most how many odd vertices?

2. A graph with an Euler circuit can have at most how many odd vertices?

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About This Quiz & Worksheet

Euler's circuits and paths are specific models that you can use to solve real world problems, and this quiz and worksheet combo will help you test your understanding of these models. The quiz questions will test you on the properties of Euler paths and circuits, as well as identifying Euler paths on a graph.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Identifying Euler paths on a graph
  • The characteristics of a Euler path
  • Vertices and edges

Skills Practiced

This quiz and worksheet will allow you to test the following skills:

  • Reading comprehension - ensure that you draw the most important information on Euler's paths and circuits from the related lesson
  • Distinguishing differences - compare and contrast topics from the lesson, such as Euler's paths and Euler's circuits
  • Knowledge application - use your knowledge to answer questions about vertices and edges

Additional Learning

To learn more about these models, review the accompanying lesson, Mathematical Models of Euler's Circuits & Euler's Paths. This lesson covers the following objectives:

  • Define Euler's paths and Euler's circuits
  • Differentiate between these two concepts
  • Understand how to identify Euler's circuits and paths on a sample graphs