2 citations · 2 across the 6 of their papers we have counts for
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math.CO2019
On particular diameter bounds for integral point sets in higher dimensions
N. N. Avdeev, R. E. Zvolinsky, E. A. Momot
We give an attempt to build a classification of planar integral point sets. For two obtained classes, we provide general constructions of upper bounds for minimal diameter of integ…
math.CO2019
On diameter bounds for planar integral point sets in semi-general position
N. N. Avdeev
A point set in the Euclidean plane is called a planar integral point set if all the distances between the elements of are integers, and is not situated on a straight li…
math.CO2019★ 2 cited
On existence of integral point sets and their diameter bounds
Nikolai Avdeev
A point set in -dimensional Euclidean space is called an integral point set if all the distances between the elements of are integers, and is not situated on an $(m-…