Shellable drawings and the cylindrical crossing number of $K_n$

Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant +2

The Harary-Hill Conjecture States that the number of crossings in any drawing of the complete graph $K_n$ in the plane is at least $Z(n):=\frac{1}{4}\left\lfloor \frac{n}{2}\righ…