Theorem requires that g have no 3-cycles this requirement


Question: Theorem requires that G have no 3-cycles. This requirement could be replaced with the constraint that G be drawn with no faces of size 3. Why is this a weaker constraint?

Theorem: If G is simple, planar, connected, and has no 3-cycles, then 4|F(G)| ≤ 2|E(G)|.

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Mathematics: Theorem requires that g have no 3-cycles this requirement
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