Alexei Miasnikov, Dmytro Savchuk
Published 2013-12-13, updated 2015-02-18Version 2
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.
Comments: 16 pages, 6 figures; referee's suggestions were incorporated; to appear in Annals of Pure and Applied Logic
Cayley automatic groups are not Cayley biautomatic
The Limit Space of Self-similar Groups and Schreier graphs
Cayley Automatic Groups and Numerical Characteristics of Turing Transducers
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