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

1.2.1 - Proof of Correctness

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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

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

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Reference links

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