Minimal Spanning Trees (HSC SSCE Mathematics Standard): Quizzes

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Minimal Spanning Trees
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A tree is a connected graph with which properties?

No cycles, multiple edges or loops

How many edges does a tree with nn vertices have?

n1n - 1

A tree has 1111 vertices. How many edges does it have?

1010

What is a spanning tree?

A tree connecting all vertices of a graph

What is a minimum spanning tree?

Spanning tree with minimum total weighting

What is the first step in Prim's algorithm?

Choose any starting vertex

In Prim's algorithm, which edge should you select?

Lowest weight that doesn't create cycle

Which feature means a graph is NOT a tree?

It contains a cycle

Weights in a graph might represent what in real-world applications?

Costs, distances or time

A spanning tree has edges with weights 33, 55, 22, 44. What is the total length?

1414 units

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