Problem 6. (a) State Kuratowski's theorem. (b) For each graph below, determine whether it is planar or not. If a graph is planar, show a planar embedding. If a graph is not planar, prove it. (Yon can use Euler's inequality, Kuratowski's theorem, or a direct argument.) G₁ 4 G₂

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.7: Graphing Linear Inequalities
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Problem 6. (a) Stalo Kuratowski's theorem.
(b) For each graph below, determine whether it is planar or not. If a graph is planar, show a planar
embedding. If a graph is not planar, prove it. (You can use Euler's inequality, Kuratowski's theorem,
or a direct argument.)
G₁
Transcribed Image Text:Problem 6. (a) Stalo Kuratowski's theorem. (b) For each graph below, determine whether it is planar or not. If a graph is planar, show a planar embedding. If a graph is not planar, prove it. (You can use Euler's inequality, Kuratowski's theorem, or a direct argument.) G₁
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