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13.025 Hamiltonian paths

Interactive practice questions

Which of the following correctly describes a Hamiltonian cycle?

A cycle that passes through every vertex and every edge exactly once.

A

A path that visits every vertex exactly once.

B

A cycle that passes through every edge exactly once.

C

A path that begins and ends at the same vertex and passes through every other vertex exactly once.

D
Easy
< 1min

Is it possible to draw a Hamiltonian path on the following diagram?

Easy
< 1min

Is it possible to draw a Hamiltonian path on the following diagram?

Easy
< 1min

Is it possible to draw a Hamiltonian path on the following diagram?

Easy
< 1min
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Outcomes

ACMEM084

optimise distances through trial-and-error and systematic methods; for example, shortest path, routes to visit all towns, and routes to use all roads

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