Graphs and Networks (VCE SSCE General Mathematics): Flashcards

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Graphs and Networks
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Graph (mathematics)

Diagram showing connections between objects or people

Vertices in a graph

Dots representing objects or people

Edges in a graph

Lines joining vertices together

Degree of a vertex

Number of edges connected to that vertex

Degrees a loop contributes

2 degrees (attaches to vertex twice)

Simple graph

No loops and no multiple edges between vertices

Connected graph

Every vertex can reach every other vertex

Planar graph

Graph that can be redrawn without edge crossings

Face in a planar graph

Enclosed region bounded by edges

Euler's formula for planar graphs

v+f=e+2v + f = e + 2 (vertices + faces = edges + 2)

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