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

1 - Euler Path and Euler Circuit

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is an Euler circuit?

💡 Hint: Consider how the path starts and ends.

Question 2 Easy

How many vertices must have odd degrees for an Euler path?

💡 Hint: Reflect on how many endpoints an Euler path has.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines an Euler circuit?

It must start and end at the same vertex
It must have odd degree vertices
It must only use cut edges

💡 Hint: Think about the path's start and endpoints.

Question 2

True or False: An Euler path can exist in a graph with all vertices having even degrees.

True
False

💡 Hint: Reflect on Euler path conditions.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a graph with 4 vertices of which 2 have odd degrees and 2 have even degrees. Show if it has an Euler path and explain your reasoning.

💡 Hint: Check how many vertices have even and odd degrees.

Challenge 2 Hard

Using Fleury's algorithm, find the Euler circuit for a given graph diagram (provided in class). Describe each step.

💡 Hint: Focus on the edges remaining as you traverse.

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Reference links

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