10. If we have two different non-crossing drawings of the same connected graph, is it possible for the two drawings to have different numbers of faces? If yes, give an example; if no, explain why not.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 14CT
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E
10. If we have two different non-crossing drawings of the same connected graph, is it
possible for the two drawings to have different numbers of faces? If yes, give an
example; if no, explain why not.
2
11. Determine whether the graph below is planar, and justify your answer.
Transcribed Image Text:E 10. If we have two different non-crossing drawings of the same connected graph, is it possible for the two drawings to have different numbers of faces? If yes, give an example; if no, explain why not. 2 11. Determine whether the graph below is planar, and justify your answer.
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