Practice Definition of Hamiltonian Circuit and Hamiltonian Path - 2.1.1 | 2. Hamiltonian Circuit | Discrete Mathematics - Vol 3
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2.1.1 - Definition of Hamiltonian Circuit and Hamiltonian Path

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define Hamiltonian Circuit.

💡 Hint: Think about a loop that goes around a graph.

Question 2

Easy

What is a Hamiltonian Path?

💡 Hint: Consider it like a tour that doesn't have to loop back.

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 constitutes a Hamiltonian circuit?

  • Visits all edges
  • Visits all vertices exactly once
  • Can repeat vertices

💡 Hint: Focus on the vertex requirement.

Question 2

True or False: An Euler circuit can also be a Hamiltonian circuit.

  • True
  • False

💡 Hint: Think about what each circuit focuses on.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with a vertex degree distribution, prove whether it satisfies Dirac's or Ore's theorem or neither.

💡 Hint: Compare degree sums and adjacency pairs carefully.

Question 2

Create your own small graph and identify Hamiltonian circuits or paths within it.

💡 Hint: Use graphical tools or drawings for clarity.

Challenge and get performance evaluation