Limits of vertex-transitive graphs
نویسندگان
چکیده
The class of all connected vertex-transitive graphs with finite valency forms a metric space under a natural combinatorially defined metric. We prove some basic properties of this metric space and discuss the structure of graphs which are limit points of the subset consisting of all finite graphs that admit a vertex-primitive group of automorphisms. A description of these limit graphs would provide a useful description of the possible local structures of generic finite graphs that admit a vertex-primitive automorphism group.
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تاریخ انتشار 2005