Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian

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dc.contributor.authorGhaderpour, Ebrahim
dc.contributor.authorMorris, Dave W.
dc.date.accessioned2025-12-18T23:38:41Z
dc.date.available2025-12-18T23:38:41Z
dc.date.issued2014
dc.descriptionOpen access article. Creative Commons Attribution 4.0 International license (CC BY 4.0) applies
dc.description.abstractWe 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.
dc.identifier.citationGhaderpour, E., & Morris, D. W. (2014). Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian. Ars Mathematica Contemporanea, 7, 55-72. https://doi.org/10.26493/1855-3974.280.8d3
dc.identifier.urihttps://hdl.handle.net/10133/7267
dc.language.isoen
dc.publisherUniversity of Primorska
dc.publisherThe Slovenian Discrete and Applied Mathematics Society
dc.publisher.departmentDepartment of Mathematics and Computer Science
dc.publisher.facultyArts and Science
dc.publisher.institutionUniversity of Lethbridge
dc.publisher.urlhttps://doi.org/10.26493/1855-3974.280.8d3
dc.subjectCayley graph
dc.subjectHamiltonian cycle
dc.subjectNilpotent group
dc.subjectCommutator subgroup
dc.titleCayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian
dc.typeArticle
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