English

End-transitive graphs

Combinatorics 2010-03-19 v1

Abstract

We investigate the structure of connected graphs, not necessarily locally finite, with infinitely many ends. On the one hand we study end-transitive such graphs and on the other hand we study such graphs with the property that the stabilizer of some end acts transitively on the vertices of the graph. In both cases we show that the graphs have a tree-like structure.

Keywords

Cite

@article{arxiv.1003.3665,
  title  = {End-transitive graphs},
  author = {Matthias Hamann},
  journal= {arXiv preprint arXiv:1003.3665},
  year   = {2010}
}

Comments

19 pages

R2 v1 2026-06-21T14:59:36.355Z