Walks, Trails, Paths, Circuits, and Cycles (VCE SSCE General Mathematics): Quizzes

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Walks, Trails, Paths, Circuits, and Cycles
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10 questions from this quiz

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What is a walk in a graph?

A sequence of edges linking vertices

What makes a trail different from a walk?

A trail has no repeated edges

What is a path?

A walk with no repeated edges or vertices

What is a circuit?

A walk starting and ending at same vertex

What distinguishes a cycle from a circuit?

A cycle has no repeated vertices

Can a trail have repeated vertices?

Yes, vertices can repeat

What is the most restrictive type of walk?

Path

If AA-BB-CC-DD-AA has no repeated edges, what is it?

A circuit

What progression shows increasing restrictiveness?

Walk to trail to path

If PP-WW-TT-PP has no repeated edges or vertices except PP, what is it?

A cycle

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