English

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

Computational Complexity 2012-06-27 v1 Discrete Mathematics Classical Analysis and ODEs Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.1206.6068,
  title  = {On the CNF-complexity of bipartite graphs containing no $K_{2,2}$'s},
  author = {Nets Hawk Katz},
  journal= {arXiv preprint arXiv:1206.6068},
  year   = {2012}
}

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6 pages