Yury Yarovikov

collaborators

2 papers

math.CO2021

Minimum number of partial triangulations

Andrey Kupavskii, Aleksei Volostnov, Yury Yarovikov

We show that the number of partial triangulations of a set of $n$ points on the plane is at least the $(n - 2)$ -nd Catalan number. This is tight for convex $n$ -gons. We also describe…

math.CO2020

Wiener index and graphs, almost half of whose vertices satisfy Šoltés property

Margarita Akhmejanova, Konstantin Olmezov, Aleksei Volostnov +3

The Wiener index $W (G)$ of a connected graph $G$ is a sum of distances between all pairs of vertices of $G$ . In 1991, Šoltés formulated the problem of finding all graphs $G$ such t…