2.1.1 - Definition of Hamiltonian Circuit and Hamiltonian Path
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Practice Questions
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Define Hamiltonian Circuit.
💡 Hint: Think about a loop that goes around a graph.
What is a Hamiltonian Path?
💡 Hint: Consider it like a tour that doesn't have to loop back.
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Interactive Quizzes
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What constitutes a Hamiltonian circuit?
💡 Hint: Focus on the vertex requirement.
True or False: An Euler circuit can also be a Hamiltonian circuit.
💡 Hint: Think about what each circuit focuses on.
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Challenge Problems
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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.
Create your own small graph and identify Hamiltonian circuits or paths within it.
💡 Hint: Use graphical tools or drawings for clarity.
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