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

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Drawing a Network Diagram
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Vertices in network diagrams represent

Objects or people

Edges in network diagrams represent

Connections between vertices

Define connected graph

Every vertex accessible from every other vertex via edges

Quick test for graph connectivity

Can you reach all vertices from any starting vertex?

Define isomorphic graphs

Graphs with same structure but different visual layouts

Conditions for graphs to be isomorphic

Same # vertices/edges, same degrees, edges connect same vertices

Degree of a vertex

Number of edges connected to it

Define weighted graph

Network with numbers on edges (distance, time, cost)

Weighted edges represent

Numerical values like distance, time, or cost

Calculate total in weighted graph path

Add up all weights along the path

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