activity
20052008
most citedOn the minimum diameter of plane integral point sets

18 citations · 27 across the 9 of their papers we have counts for

collaborators

9 papers

math.OC2008

Lotsize optimization leading to a -median problem with cardinalities

Constantin Gaul, Sascha Kurz, Joerg Rambau

We consider the problem of approximating the branch and size dependent demand of a fashion discounter with many branches by a distributing process being based on the branch deliver…

math.CO20085 cited

Enumeration of integral tetrahedra

Sascha Kurz

We determine the numbers of integral tetrahedra with diameter up to isomorphism for all via computer enumeration. Therefore we give an algorithm that enumerates the…

math.CO200818 cited

On the minimum diameter of plane integral point sets

Sascha Kurz, Alfred Wassermann

Since ancient times mathematicians consider geometrical objects with integral side lengths. We consider plane integral point sets , which are sets of points in the…

math.CO2008

There are integral heptagons, no three points on a line, no four on a circle

Tobias Kreisel, Sascha Kurz

We give two configurations of seven points in the plane, no three points in a line, no four points on a circle with pairwise integral distances. This answers a famous question of P…

math.CO20081 cited

Integral point sets over

Axel Kohnert, Sascha Kurz

There are many papers studying properties of point sets in the Euclidean space or on integer grids , with pairwise integral or rational distances. In t…

math.CO20081 cited

Bounds for the minimum oriented diameter

Sascha Kurz, Martin Laetsch

We consider the problem of finding an orientation with minimum diameter of a connected bridgeless graph. Fomin et. al. discovered a relation between the minimum oriented diameter a…