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• W2000252962 abstract "In this article we study Hamilton cycles in sparse pseudo-random graphs. We prove that if the second largest absolute value λ of an eigenvalue of a d-regular graph G on n vertices satisfies $$lambda leq{{(log , log , n)^2}over {1000, log , n , (log , log , log , n)}}d$$ and n is large enough, then G is Hamiltonian. We also show how our main result can be used to prove that for every c >0 and large enough n a Cayley graph X (G,S), formed by choosing a set S of c log5 n random generators in a group G of order n, is almost surely Hamiltonian. © 2002 Wiley Periodicals, Inc. J Graph Theory 42: 17–33, 2003" @default.
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• W2000252962 date "2003-01-01" @default.
• W2000252962 modified "2023-09-26" @default.
• W2000252962 title "Sparse pseudo-random graphs are Hamiltonian" @default.
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