Drawing a Network Diagram (HSC SSCE Mathematics Standard): Quizzes

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Drawing a Network Diagram
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In a network diagram, what do vertices represent?

The objects or people being connected

What do edges represent in a network diagram?

The lines showing relationships

When is a graph considered connected?

When every vertex is reachable from any other

What makes a graph not connected?

At least one vertex cannot be reached

What is the degree of a vertex?

The number of edges connected to it

For graphs to be isomorphic, what must be true about corresponding vertices?

They must have the same degree

Is having the same number of vertices and edges sufficient for isomorphism?

No, connections must also match

What does a weight on an edge represent?

A numerical value like distance or cost

To find the distance from AA to CC via BB with weights AB=7AB=7 and BC=5BC=5, what is the total?

1212

In a weighted graph table, what do the row and column headings represent?

The vertices of the graph

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