Where does the result $$ e=3v-6 $$
For planar graphs come from?
I can't find an original source for this property
2026-03-26 06:28:40.1774506520
What is the source of the property: $e=3v-6$ for planar graphs
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The source of this relation really is Euler, if one sets up a simple planar graph, $\Gamma$ with at least three vertices and two edges, it can be shown that
$$\frac{2}{3}f \leq e \leq 3v-6$$
for faces, $f$, edges $e$ and vertices $v$.
For a further consideration see Planar Graph theory, here