Transitive graphs uniquely determined by their local structure

Transitive graphs uniquely determined by their local structure

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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Veröffentlicht in:Proceedings of the American Mathematical Society 2016-05, Vol.144 (5), p.1913-1918
Hauptverfasser: Frisch, Joshua, Tamuz, Omer
Format: Artikel
Sprache:eng
Schlagworte:
A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS
Research article
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/12901