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

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a graph with an Euler circuit and illustrate it.

💡 Hint: Try using simple shapes, like squares.

Question 2

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

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

Challenge and get performance evaluation