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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define Euler Circuit.
💡 Hint: Think about circuits and where they start and end.
Question 2
Easy
What is needed for an Euler Path to exist?
💡 Hint: Consider what happens when a vertex has an odd number of edges.
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 defines an Euler Circuit?
- Visits every edge once and ends at a different vertex
- Visits every edge once and returns to the starting vertex
- Only visits some edges
💡 Hint: Think about the shape it makes.
Question 2
Can a graph with all vertices of odd degree have an Euler Circuit?
- True
- False
💡 Hint: Recall the conditions for Euler paths and circuits.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a connected multigraph with vertices of degrees 4, 4, 2, and 2, is it possible to form an Euler Circuit? Justify your answer.
💡 Hint: Verify the degrees of all vertices.
Question 2
Create a graph with five vertices where two have odd degrees and demonstrate an Euler path using Fleury's algorithm.
💡 Hint: Think about how edges connect these vertices.
Challenge and get performance evaluation