The numbers of edges of 5-polytopes with a given number of vertices

Takuya Kusunoki, Satoshi Murai

A basic combinatorial invariant of a convex polytope $P$ is its $f$-vector $f(P)=(f_0,f_1,\dots ,f_{\dim P-1})$, where $f_i$ is the number of $i$-dimensional faces of $P$. Steinitz…