14. Give a careful proof that the graph below is not planar. ▼ Hint. The girth of the graph is 4. 15. Explain why we cannot use the same sort of proof we did in Exercise 2.3.14 to prove that the graph below is not planar. Then explain how you know the graph is not planar anyway.

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
Problem 5E: a If a graph is symmetric with respect to the x-axis and (a,b) is on the graph, then (,) is also on...
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Discrete math: Planar Graphs

14. Give a careful proof that the graph below is not planar.
▼ Hint.
The girth of the graph is 4.
15. Explain why we cannot use the same sort of proof we did in Exercise 2.3.14
to prove that the graph below is not planar. Then explain how you know the
graph is not planar anyway.
▼ Hint.
What has happened to the girth? Careful: we have a different number of edges
as well. Better check Euler's formula.
Transcribed Image Text:14. Give a careful proof that the graph below is not planar. ▼ Hint. The girth of the graph is 4. 15. Explain why we cannot use the same sort of proof we did in Exercise 2.3.14 to prove that the graph below is not planar. Then explain how you know the graph is not planar anyway. ▼ Hint. What has happened to the girth? Careful: we have a different number of edges as well. Better check Euler's formula.
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