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A sufficient condition for Hamiltonicity in locally finite graphs
Karl Heuer · 2019-03-28 · via math.CO updates on arXiv.org

Using topological circles in the Freudenthal compactification of a graph as infinite cycles, we extend to locally finite graphs a result of Oberly and Sumner on the Hamiltonicity of finite graphs. This answers a question of Stein, and gives a sufficient condition for Hamiltonicity in locally finite graphs.

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