A Note on Random k-SAT for Moderately Growing k

نویسندگان

  • Jun Liu
  • Zongsheng Gao
  • Ke Xu
چکیده

Consider a random instance I of k-SAT with n variables and m clauses. Suppose that θ, c > 0 are any fixed real numbers. Let k = k(n) ≥ ( 1 2 + θ ) log2 n. We prove that lim n→∞ Pr(I is satifiable) = { 1 m ≤ ( 1− c √ n ) 2kn ln 2 0 m ≥ ( 1 + c √ n ) 2kn ln 2.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2012