An Example of an Automatic Graph of Intermediate Growth
arXiv:1312.3710
Abstract
We give an example of a 4-regular infinite automatic graph of intermediate growth. It is constructed as a Schreier graph of a certain group generated by 3-state automaton. The question was motivated by an open problem on the existence of Cayley automatic groups of intermediate growth.
16 pages, 6 figures; referee's suggestions were incorporated; to appear in Annals of Pure and Applied Logic