Artur Bikeev

collaborators

2 papers

cs.CG2025

Tree covers of size $2$ for the Euclidean plane

Artur Bikeev, Andrey Kupavskii, Maxim Turevskii

For a given metric space $(P, ϕ)$ , a tree cover of stretch $t$ is a collection of trees on $P$ such that edges $(x, y)$ of trees receive length $ϕ (x, y)$ , and such that for any pair o…

math.CO2025

Isomorphisms of unit distance graphs of layers

Arthur Igorevich Bikeev

For any $ε \in (0, + \infty)$ , consider the metric spaces $R \times [0, ε]$ in the Euclidean plane named layers or strips. B. Baslaugh in 1998 found the m…

Tree covers of size 2 for the Euclidean plane

Isomorphisms of unit distance graphs of layers

Tree covers of size $2$ for the Euclidean plane