On the CNF-complexity of bipartite graphs containing no $K_{2,2}$'s

Nets Hawk Katz

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arXiv · 1206.6068

On the CNF-complexity of bipartite graphs containing no $K_{2,2}$'s

Nets Hawk Katz

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Abstract

By a probabilistic construction, we find a bipartite graph having average degree $d$ which can be expressed as a conjunctive normal form using $C \log d$ clauses. This contradicts research problem 1.33 of Jukna.

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Nets Hawk Katz. 2012-06-26. On the CNF-complexity of bipartite graphs containing no $K_{2,2}$'s. https://arxiv.org/abs/1206.6068

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