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arxiv: 1803.03805 · v2 · pith:MHSFW3FPnew · submitted 2018-03-10 · 🧮 math.CO · math.GR

Two comments on balls in vertex transitive graphs

classification 🧮 math.CO math.GR
keywords ballgraphtransitivevertexfiniteradiusappearsballs
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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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