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.

Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian / Ghaderpour, E.; Morris, D. W.. - In: ARS MATHEMATICA CONTEMPORANEA. - ISSN 1855-3974. - 7:1(2014), pp. 55-72. [10.26493/1855-3974.280.8d3]

Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian

Ghaderpour, E.;
2014

Abstract

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.
2014
Cayley graph; hamiltonian cycle; nilpotent group; commutator subgroup
01 Pubblicazione su rivista::01a Articolo in rivista
Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian / Ghaderpour, E.; Morris, D. W.. - In: ARS MATHEMATICA CONTEMPORANEA. - ISSN 1855-3974. - 7:1(2014), pp. 55-72. [10.26493/1855-3974.280.8d3]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1655267
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