2 papers
math.CO2021
On particular examples of planar integral point sets and their classification
Nikolai Avdeev, Ekaterina Momot, Aleksandr Zvolinskiy
A planar integral point set is a set of non-collinear points in plane such that for any pair of the points the Euclidean distance between the points is integral. We discuss the cla…
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…