# polyhedral graphs, distribution

## Asymptotic Distribution of Form of Polyhedra ★★

Author(s): Rüdinger

\begin{problem} Consider the set of all topologically inequivalent polyhedra with $k$ edges. Define a form parameter for a polyhedron as $\beta:= v/(k+2)$ where $v$ is the number of vertices. What is the distribution of $\beta$ for $k \to \infty$? \end{problem}

Keywords: polyhedral graphs, distribution