Coarse distinguishability of graphs with symmetric growth

Jesús Antonio Álvarez López, Ramón Barral Lijó, Hiraku Nozawa

Let $X$ be a connected, locally finite graph with symmetric growth. We prove that there is a vertex coloring $\varphi :X\to \{0,1\}$ and some $R\in \mathbb{N}$ such that every automor…