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arxiv: 1111.6216 · v1 · pith:3H7XT7MSnew · submitted 2011-11-27 · 🧮 math.CO

Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian

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keywords cayleycommutatorcyclichamiltoniannilpotentsubgroupconnectedcycle
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We show that if G is any nilpotent, finite group, and the commutator subgroup of G is cyclic, then every connected Cayley graph on G has a hamiltonian cycle.

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