Planar Graphs and Euler’s Formula (VCE SSCE General Mathematics): Flashcards

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Planar Graphs and Euler's Formula
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Planar graph

Graph drawn with no edges crossing except at vertices

Edge intersection in planar graphs

Only at vertices

Equivalent/isomorphic graphs

Graphs with same connections, different drawings

Non-planar graph

Graph that cannot be redrawn without edges crossing

Face in graph theory

Region of space created by the graph

Infinite face

Region surrounding entire graph (must be counted)

Euler's formula

v+f=e+2v + f = e + 2

vv in Euler's formula

Number of vertices

ee in Euler's formula

Number of edges

ff in Euler's formula

Number of faces

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