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Year 11 Maths - General Graphs and Networks

Planar Graphs and Euler’s Formula

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Questions
Question 1
31217

Which of these drawings is NOT in planar form?

A.
Drawing AA rectangle with a triangle on its right side: 5 vertices, 6 edges, no edges cross.
B.
Drawing BA rectangle with one diagonal: 4 vertices, 5 edges, no edges cross.
C.
Drawing CA rectangle with both diagonals, which cross in the middle (the crossing is not a vertex): 4 vertices, 6 edges.
D.
Drawing DA rectangle with one diagonal and a triangle on its right side: 5 vertices, 7 edges, no edges cross.
C

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