Hamiltonian Paths and Cycles (Extension) (VCE SSCE General Mathematics): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What do Hamiltonian paths and cycles focus on?
What do Hamiltonian paths and cycles focus on?
Vertices
What does a Hamiltonian path require?
What does a Hamiltonian path require?
Visit each vertex exactly once
What is the key feature of a Hamiltonian cycle?
What is the key feature of a Hamiltonian cycle?
Returns to starting vertex
Must a Hamiltonian path use all edges?
Must a Hamiltonian path use all edges?
No
How do you determine if a Hamiltonian cycle exists?
How do you determine if a Hamiltonian cycle exists?
Trial and error
What distinguishes a Hamiltonian path from a cycle?
What distinguishes a Hamiltonian path from a cycle?
Path ends at different vertex
Which applies to Hamiltonian paths?
Which applies to Hamiltonian paths?
Road trip without repeating towns
Which situation needs a Hamiltonian cycle?
Which situation needs a Hamiltonian cycle?
Courier returning to depot
Can a graph have multiple Hamiltonian paths?
Can a graph have multiple Hamiltonian paths?
Yes
What do Eulerian concepts require?
What do Eulerian concepts require?
Use every edge exactly once