2 6 marks consider the following graph i if g had a planar drawing how
2. [6 marks]. Consider the following graph:
(i) If G had a planar drawing, how many faces would it have?
(ii) If G had a planar drawing, what would the be the sum of the face degrees?
(iii) What can you conclude from (ii) and (iii)? [Recall that in a planar drawing of a simple graph,
each face has degree at least three.]
(iv) Do you think G has a planar drawing?
In each part of this question, be sure to give a brief justification of how you got your answer; answers
without justification will not receive any marks.
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