Two comments on balls in vertex transitive graphs
Combinatorics
2018-03-14 v2 Group Theory
Abstract
We observe that a ball of radius in the grandfather graph can not be realized as a ball of radius in a finite vertex transitive graph. We remark on when a ball in a finite vertex transitive graph appears as a ball in an infinite vertex transitive graph.
Cite
@article{arxiv.1803.03805,
title = {Two comments on balls in vertex transitive graphs},
author = {Itai Benjamini and Gady Kozma},
journal= {arXiv preprint arXiv:1803.03805},
year = {2018}
}
Comments
The main result appeared already in arXiv:1411.6534