70 citations · 1.1k across the 129 of their papers we have counts for
Showing 2005Show all
4 papers · 1 filter
math.CO2005★ 5 cited
A note on Erdős-Diophantine graphs and Diophantine carpets
Axel Kohnert, Sascha Kurz
A Diophantine figure is a set of points on the integer grid where all mutual Euclidean distances are integers. We also speak of Diophantine graphs. In this languag…
math.CO2005★ 3 cited
On the characteristic of integral point sets in
Sascha Kurz
We generalise the definition of the characteristic of an integral triangle to integral simplices and prove that each simplex in an integral point set has the same characteristic. T…
math.CO2005
A bijection between the d-dimensional simplices with distances in {1,2} and the partitions of d+1
Christian Haase, Sascha Kurz
We give a construction for the d-dimensional simplices with all distances in {1,2} from the set of partitions of d+1.
math.CO2005★ 13 cited
Counting polyominoes with minimum perimeter
Sascha Kurz
The number of essentially different square polyominoes of order n and minimum perimeter p(n) is enumerated.