Odd-order Cayley graphs with commutator subgroup of order pq are hamiltonian
| dc.contributor.author | Morris, Dave W. | |
| dc.date.accessioned | 2025-12-18T23:27:25Z | |
| dc.date.available | 2025-12-18T23:27:25Z | |
| dc.date.issued | 2015 | |
| dc.description | Open access article. Creative Commons Attribution 4.0 International license (CC BY 4.0) applies | |
| dc.description.abstract | We show that if G is a nontrivial, finite group of odd order, whose commutator subgroup [G, G] is cyclic of order pμqν, where p and q are prime, then every connected Cayley graph on G has a hamiltonian cycle. | |
| dc.identifier.citation | Witte, D. W. (2015). Odd-order Cayley graphs with commutator subgroup of order pq are hamiltonian. Ars Mathematica Contemporanea, 8(1), 1-28. Odd-order Cayley graphs with commutator subgroup of order pq are hamiltonian | |
| dc.identifier.uri | https://hdl.handle.net/10133/7266 | |
| dc.language.iso | en | |
| dc.publisher | University of Primorska | |
| dc.publisher | The Slovenian Discrete and Applied Mathematics Society | |
| dc.publisher.department | Department of Mathematics and Computer Science | |
| dc.publisher.faculty | Arts and Science | |
| dc.publisher.institution | University of Lethbridge | |
| dc.publisher.url | https://doi.org/10.26493/1855-3974.330.0e6 | |
| dc.subject | Cayley graph | |
| dc.subject | Hamiltonian cycle | |
| dc.subject | Commutator subgroup | |
| dc.title | Odd-order Cayley graphs with commutator subgroup of order pq are hamiltonian | |
| dc.type | Article |