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arxiv: 1708.03476 · v1 · pith:Q4FLJ5JRnew · submitted 2017-08-11 · 🧮 math.CO

From cycles to circles in Cayley graphs

classification 🧮 math.CO
keywords graphscayleycirclescyclesfinitehamiltoninfinitecompactification
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For locally finite infinite graphs the notion of Hamilton cycles can be extended to Hamilton circles, homeomorphic images of $S^1$ in the Freudenthal compactification. In this paper we extend some well-known theorems of the Hamiltonicity of finite Cayley graphs to infinite Cayley graphs.

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