Prove if g is outerplanar then rank is equals to frank of g

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Question: The graph below is planar but not outer planar and it satisfies rank(G) = frank(G) = 3. The regions of this embedding are not bounded by primitive cycles. Thus, the converse of Proposition fails.

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Proposition: If G is outerplanar, then rank(G) = frank(G).

Reference no: EM131587406

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