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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.

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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 26E
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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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