Let $n$ be a positive integer and let $G$ be a graph with vertices $2,...,n+1$ such that every vertex is connected to the vertex which is the number of its divisors. How can we prove that such a graph is planar? Also, does such a graph have a name?
2026-03-26 22:17:30.1774563450
Is this graph with $n$ vertices a planar graph?
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When n is large enough, we have vertices 2,4,8,16,32 whose spanning graph is a copy of clique of size 5, so G does not be planar.