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- W2277029106 abstract "Bollobás and Scott showed that the vertices of a graph of m edges can be partitioned into k sets such that each set contains at most m / k 2 + o ( m ) edges. They conjectured that the vertices of an r -uniform hypergraph, where r ≥ 3 , of m edges may likewise be partitioned into k sets such that each set contains at most m / k r + o ( m ) edges. In this paper, we prove the weaker statement that a partition into k sets can be found in which each set contains at most m ( k − 1 ) r + r 1 / 2 ( k − 1 ) r / 2 + o ( m ) edges. Some partial results on this conjecture are also given." @default.
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- W2277029106 date "2016-07-01" @default.
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- W2277029106 title "On judicious partitions of uniform hypergraphs" @default.
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- W2277029106 doi "https://doi.org/10.1016/j.jcta.2016.02.004" @default.
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