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arxiv: 1408.2662 · v2 · pith:XHTOVQENnew · submitted 2014-08-12 · 💻 cs.DM · math.CO

On the Structure and the Number of Prime Implicants of 2-CNFs

classification 💻 cs.DM math.CO
keywords implicantsnumberprimecnfsmaximumstructurevariables
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Let $m(n, k)$ be the maximum number of prime implicants that any $k$-CNF on n variables can have. We show that $3^{n/3} \le m(n,2) \le (1+o(1))3^{n/3}$.

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