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Random k-SAT : the limiting probability for satisfiability for moderately growing k
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Coja-Oghlan, Amin and Frieze, Alan (2008) Random k-SAT : the limiting probability for satisfiability for moderately growing k. Electronic Journal of Combinatorics, Vol.15 . N2. ISSN 1077-8926.
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Abstract
We consider a random instance Im=Im,n,k of k-SAT with n variables and m clauses, where k=k(n) satisfies k−log2n→∞. Let m=2k(nln2+c) for an absolute constant c. We prove that
limn→∞Pr(Im is satisfiable)=e−e−c.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Electronic Journal of Combinatorics | ||||
| Publisher: | Electronic Journal of Combinatorics | ||||
| ISSN: | 1077-8926 | ||||
| Official Date: | 2008 | ||||
| Dates: |
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| Volume: | Vol.15 | ||||
| Page Range: | N2 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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