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arxiv: 1401.6711 · v1 · submitted 2014-01-27 · 🧮 math.CO

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Large subgraphs without complete bipartite graphs

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keywords analogousanswerbipartitecompletediscussedgeseveryfollowing
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In this note, we answer the following question of Foucaud, Krivelevich and Perarnau. What is the size of the largest $K_{r,s}$-free subgraph one can guarantee in every graph $G$ with $m$ edges? We also discuss the analogous problem for hypergraphs.

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