3 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.FA2021
The subspace is not complemented in
Nikolai Avdeev
We prove that the subspace of sequences that converge to zero is not complemented in the space of sequences that almost converge to zero. We proceed with applying the…
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…