Solved: If a graph 𝐺 with 𝑛 vertices and 𝑚 edges is planar, then 𝑚 ≀ 3 𝑛 – 6 . Is the converse true?

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Subgraphs and planarity.
(c) If a graph 𝐺 with 𝑛 vertices and 𝑚 edges is planar, then 𝑚≀3𝑛-6. Is the
converse true? If a graph has 𝑚 edges and 𝑛 vertices such that 𝑚≀3𝑛-6, then is it
always true that 𝐺 is planar?

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