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Two comments on balls in vertex transitive graphs
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classification
math.COmath.GR
keywords
ballgraphtransitivevertexfiniteradiusappearsballs
abstract
We observe that a ball of radius $1$ in the grandfather graph can not be realized as a ball of radius $1$ in a finite vertex transitive graph. We remark on when a ball in a finite vertex transitive graph appears as a ball in an infinite vertex transitive graph.
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