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Generalize the statements and proofs of theorems i and ii

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Reference no: EM131585690

Question: Use the results of the previous problem to generalize the statements and proofs of Theorems I and II.

Theorem I: If G is simple, planar, and connected and has at least three vertices, then |E(G)| ≤ 3|V(G)| -6.

Theorem II: If G is simple, planar, connected, has no 3-cycles, and has at least three vertices, then |E(G)| ≤ 2|V(G)| -4.

Reference no: EM131585690

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