2.1 - Hamiltonian Circuit
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Practice Questions
Test your understanding with targeted questions
Define Hamiltonian circuit in your own words.
💡 Hint: Think of a tour where you return to the start.
What is the key difference between Hamiltonian and Eulerian circuits?
💡 Hint: Consider what each path emphasizes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a Hamiltonian Circuit?
💡 Hint: Compare with Euler circuits.
True or False: Ore’s theorem can guarantee a Hamiltonian graph for all configurations.
💡 Hint: Consider if other conditions exist.
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Challenge Problems
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Create a graph of 6 vertices that fails both Dirac's and Ore's conditions but is still Hamiltonian.
💡 Hint: Think of how to strategically place vertices for limited connections.
Using Ore's theorem, illustrate how to modify a graph to ensure it meets Hamiltonian conditions.
💡 Hint: Identify pairs and keep track of their degree counts.
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