An Example of an Automatic Graph of Intermediate Growth
classification
🧮 math.GR
keywords
automaticgraphgrowthintermediateexampleautomatoncayleycertain
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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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