WebFor the planar graphs, we have Euler's polyhedral formula: f - e + v = 2, where f, e, and v, are correspondingly the number of faces (countries), edges, and vertices of a graph. For a planar graph with girth c, f c ≤ 2e. The two formulas together give (1) 2e - c e + c v ≥ 2 c.
Planar Graph -- from Wolfram MathWorld
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Punnett Square Calculator Science Primer
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