M. Patrakeev

collaborators

2 papers

math.GN2026

Simple closed curves contained in~ $ε$ -boundaries of planar sets

Aleksei Volkov, Mikhail Patrakeev

The $ε$ -boundary of a set $A \subseteq R^{2}$ is the set ${p \in R^{2} : I ¨ (p, A) = ε}$ , where $I ¨ $ is the Euclidean distance. We prove that if $…

math.CO2025

Axiomatic and ErdÅs-Moon approaches to tournament rankings

Sergei Nokhrin, Mikhail Patrakeev

Tournament ranking is a function that assigns each vertex of a tournament (i.e., a directed graph without loops, in which each pair of different vertexes is connected by exactly on…

Simple closed curves contained in~ε-boundaries of planar sets

Axiomatic and ErdÅs-Moon approaches to tournament rankings

Simple closed curves contained in~ $ε$ -boundaries of planar sets

Axiomatic and ErdÅs-Moon approaches to tournament rankings