English

Asymptotic rays

Geometric Topology 2011-08-23 v1 Combinatorics

Abstract

We prove that a graph G is asymptotically isomorphic to the ray if and only if G is uniformly spherically bounded and is of bounded local degrees. This problem arouse in combinatorics and was posed in [3] (Problem 10.1).

Keywords

Cite

@article{arxiv.1108.4092,
  title  = {Asymptotic rays},
  author = {Oleksii Kuchaiev and Anastasiia Tsvietkova},
  journal= {arXiv preprint arXiv:1108.4092},
  year   = {2011}
}

Comments

5 pages

R2 v1 2026-06-21T18:53:07.798Z