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Using Euler’s formula but not using Kuratowski’s Theorem, prove that K5 and K3;3 are not planar.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 32E

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Using Euler’s formula but not using Kuratowski’s Theorem, prove that K5 and K3;3
are not planar.

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