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Asymptotic connectivity, hamiltonicity and toughness
Agelos Georgakopoulos
Source abstract
We define coarse variants of the notions of connectivity, hamiltonicity, toughness, and spanning trees. Our notions are invariant under quasi-isometries, and they obey the same relationships between them as their classical analogs. We pose several open problems that are coarse versions of classical results and conjectures about hamiltonicity.
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