Practice Proof of Correctness - 1.2.1 | 1. Euler Path and Euler Circuit | Discrete Mathematics - Vol 3
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Practice Questions

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Question 1

Easy

What is an Euler Circuit?

💡 Hint: Think about what makes a path closed.

Question 2

Easy

How many vertices can have an odd degree in an Euler Path?

💡 Hint: Remember the conditions for Euler paths.

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 a necessary condition for an Euler circuit?

  • All vertices have odd degrees
  • All vertices have even degrees
  • Two vertices have odd degrees

💡 Hint: Think about the degrees of the vertices.

Question 2

True or False: Fleury's Algorithm should always avoid cut edges.

  • True
  • False

💡 Hint: Recall the 'not burning bridges' concept.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Construct a graph with exactly two vertices of odd degree and demonstrate finding an Euler path.

💡 Hint: Focus on how you connect the odd-degree vertices.

Question 2

Using Fleury's Algorithm, analyze a provided graph step by step to find the Euler circuit.

💡 Hint: Ensure you prioritize non-cut edges first.

Challenge and get performance evaluation