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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Tel Aviv Univ, Sch Math Sci, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Sch Math Sci, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel
Krivelevich, Michael
Lee, Choongbum
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MIT, Dept Math, Cambridge, MA 02139 USATel Aviv Univ, Sch Math Sci, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel
Lee, Choongbum
Sudakov, Benny
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ETH, Dept Math, CH-8092 Zurich, Switzerland
Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USATel Aviv Univ, Sch Math Sci, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel
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CUNY, Hunter Coll, Dept Comp Sci, New York, NY 10021 USA
CUNY, Grad Ctr, New York, NY 10021 USACUNY, Hunter Coll, Dept Comp Sci, New York, NY 10021 USA
Zamfirescu, Christina
Zamfirescu, Tudor
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Univ Dortmund, Fachbereich Math, D-44221 Dortmund, GermanyCUNY, Hunter Coll, Dept Comp Sci, New York, NY 10021 USA