Transitive graphs uniquely determined by their local structure

Frisch, Joshua; Tamuz, Omer

doi:10.1090/proc/12901

Transitive graphs uniquely determined by their local structure
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by Joshua Frisch and Omer Tamuz PDF

Proc. Amer. Math. Soc. 144 (2016), 1913-1918 Request permission

Abstract:

We give an example of an infinite, vertex transitive graph that has the following property: it is the unique completion to a transitive graph of a large enough finite subgraph of itself.

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