A pr 2 00 9 Hamilton cycles in 3 - out
نویسندگان
چکیده
Let G3−out denote the random graph on vertex set [n] in which each vertex chooses 3 neighbors uniformly at random. Note that G3−out has minimum degree 3 and average degree 6. We prove that the probability that G3−out is Hamiltonian goes to 1 as n tends to infinity.
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