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arXiv · 0911.0900

Construction of a Non-2-colorable k-uniform Hypergraph with Few Edges

Heidi Gebauer
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Abstract

We show how to construct a non-2-colorable k-uniform hypergraph with (2^(1 + o(1)))^k edges. By the duality of hypergraphs and monotone k-CNF-formulas this gives an unsatisfiable monotone k-CNF with (2^(1 + o(1)))^k clauses

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Heidi Gebauer. 2009-11-05. Construction of a Non-2-colorable k-uniform Hypergraph with Few Edges. https://arxiv.org/abs/0911.0900

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