Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661696 | Annals of Pure and Applied Logic | 2015 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Alexei Miasnikov, Dmytro Savchuk,