Assume G is a finite group such that vertical bar G vertical bar = pqrs, where p, q, r and s are distinct prime numbers, and let S be a minimal generating set of G, such that vertical bar S vertical bar >= 3. We prove there is a Hamiltonian cycle in the corresponding Cayley graph Cay(G; S).
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Maoming Univ, Ctr Comp Network & Informat, Maoming 525000, Peoples R ChinaS China Univ Technol, Sch Software Engn, Guangzhou 510641, Peoples R China
Qin, Yong
Xiao, Wenjun
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S China Univ Technol, Sch Software Engn, Guangzhou 510641, Peoples R ChinaS China Univ Technol, Sch Software Engn, Guangzhou 510641, Peoples R China
Xiao, Wenjun
Miklavic, Stefko
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Univ Primorska, Primorska Inst Nat Sci & Technol, Koper 6000, SloveniaS China Univ Technol, Sch Software Engn, Guangzhou 510641, Peoples R China
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Tarbiat Modares Univ, Fac Math Sci, Dept Math, POB 14115-137, Tehran, Iran
Univ West Bohemia, NTIS, Tech 8, Plzen 30100 3, Czech RepublicTarbiat Modares Univ, Fac Math Sci, Dept Math, POB 14115-137, Tehran, Iran
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Univ Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USAUniv Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USA
Berman, Leah Wrenn
Kovacs, Istvan
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Univ Primorska, UP IAM, Muzejski Trg 2, Koper 6000, Slovenia
Univ Primorska, UP FAMNIT, Glagoljaska 8, Koper 6000, SloveniaUniv Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USA
Kovacs, Istvan
Williams, Gordon I.
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Univ Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USAUniv Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USA