Infinitely many nonsolvable groups whose Cayley graphs are hamiltonian
We show there are infinitely many finite groups~$G$, such that every connected Cayley graph on~$G$ has a hamiltonian cycle, and $G$ is not solvable. Specifically, we show that if $A_5$~is the alternating group on five letters, and $p$~is any prime, such that $p \equiv 1 \pmod{30}$, then every connec...
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| Format: | Article |
| Language: | English |
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Yildiz Technical University
2016-01-01
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| Series: | Journal of Algebra Combinatorics Discrete Structures and Applications |
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| Online Access: | http://www.eds.yildiz.edu.tr/AjaxTool/GetArticleByPublishedArticleId?PublishedArticleId=2232 |