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arXiv · 1312.3710

An Example of an Automatic Graph of Intermediate Growth

Alexei Miasnikov·Dmytro Savchuk
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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.

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Alexei Miasnikov, Dmytro Savchuk. 2013-12-13. An Example of an Automatic Graph of Intermediate Growth. https://arxiv.org/abs/1312.3710

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