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AustraliaVIC
VCE 11 General 2023

8.03 Planar graphs and Euler's formula

Interactive practice questions

Match the given graph with its equivalent planar representation.

A

B

C

D
Easy
< 1min

Match the following graph with its equivalent planar representation.

Easy
< 1min

Match the given graph with its equivalent planar representation.

Easy
< 1min

Which of the following graphs have a planar representation?

Select all that apply.

Easy
< 1min
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Outcomes

U2.AoS2.1

the language, properties and types of graphs, including edge, face, loop, vertex, the degree of a vertex, isomorphic and connected graphs, and the adjacency matrix, Euler’s formula for planar graphs, and walks, trails, paths, circuits, bridges and cycles in the context of traversing a graph

U2.AoS2.4

describe a planar graph in terms of the number of faces (regions), vertices and edges and apply Euler’s formula to solve associated problems

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