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Add planar lemmas #3

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bcs5 opened this issue Jun 17, 2023 · 0 comments
Open

Add planar lemmas #3

bcs5 opened this issue Jun 17, 2023 · 0 comments
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@bcs5
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bcs5 commented Jun 17, 2023

Let G = (V, E) be a connected planar graph. Let F be the set of faces of a planar drawing of G. Then |V | − |E| + |F| = 2.
If G = (V, E) is a connected planar graph and |V | > 2, then |E| ≤ 3|V | − 6.

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