Graphs and Networks (VCE SSCE General Mathematics): Quizzes

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Graphs and Networks
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In a graph, what are the dots that represent objects or people called?

Vertices

If vertex AA has 5 edges connected to it, what is deg(A)\text{deg}(A)?

5

A vertex has one loop and 3 other edges. What is its degree?

5

Which feature defines a simple graph?

No loops and no multiple edges

What is the degree of an isolated vertex?

0

What is a bridge in a connected graph?

Edge that disconnects graph if removed

In a complete graph, which statement is true?

Edge between every pair of vertices

A graph has vertices AA, BB, CC with edges ABAB and BCBC. Is it connected?

Yes

When counting faces in a planar graph, what must you include?

The outer face

Using Euler's formula, if v=6v = 6 and e=9e = 9, what is ff?

5

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