Question: Problem 2 (2pts). Let g 2 2 be an integer and let G be a connected plane graph on n vertices wherein every face

Problem 2 (2pts). Let g 2 2 be an integer and let

Problem 2 (2pts). Let g 2 2 be an integer and let G be a connected plane graph on n vertices wherein every face is bounded by a cycle of G. Prove that if G has no cycles of length g or smaller, then |E(G)| s g+1 (n-2). - 1

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