Practice Examples of Euler Circuit and Path - 1.1.2 | 1. Euler Path and Euler Circuit | Discrete Mathematics - Vol 3
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Examples of Euler Circuit and Path

1.1.2 - Examples of Euler Circuit and Path

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define an Euler circuit.

💡 Hint: Remember that it ends where it starts.

Question 2 Easy

What is an Euler path?

💡 Hint: Think of starting at one point and finishing at another.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is required for a graph to have an Euler circuit?

At least two odd degree vertices
All vertices have even degrees
At least one vertex with odd degree

💡 Hint: Think about what makes a circuit.

Question 2

True or False: An Euler Path can have more than two odd degree vertices.

True
False

💡 Hint: Consider the definition of odd vertices.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a graph with an Euler circuit and illustrate it.

💡 Hint: Try using simple shapes, like squares.

Challenge 2 Hard

Create a graph with no Euler path or circuit and explain why.

💡 Hint: Draw several parts and tally the odd vertices.

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Reference links

Supplementary resources to enhance your learning experience.