Practice Characterization of Euler Path - 1.1.4 | 1. Euler Path and Euler Circuit | Discrete Mathematics - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is an Euler circuit?

💡 Hint: Think about the starting and ending vertex.

Question 2

Easy

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

💡 Hint: Remember the acronym 'DOUBLE O'.

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

How many vertices need to have odd degrees for an Euler path?

  • None
  • One
  • Two
  • Three

💡 Hint: Recall the conditions for Euler paths.

Question 2

True or False: All vertices of a graph must have even degree for an Euler circuit.

  • True
  • False

💡 Hint: Think about the definitions you've learned.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given this graph structure: A-B (odd), B-C (even), C-D (even), D-E (odd), analyze and conclude if Euler paths or circuits are possible.

💡 Hint: Check the degree of each vertex.

Question 2

Design an original network that can effectively demonstrate an Euler circuit. What conditions will your graph need?

💡 Hint: Try to balance the edges for vertices.

Challenge and get performance evaluation