A counterexample to a conjecture of Erdős, Graham and Spencer (Q1010704)
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scientific article; zbMATH DE number 5540905
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample to a conjecture of Erdős, Graham and Spencer |
scientific article; zbMATH DE number 5540905 |
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A counterexample to a conjecture of Erdős, Graham and Spencer (English)
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7 April 2009
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Summary: It is conjectured by Erdős, Graham and Spencer that if \(1 \leq a_1 \leq a_2 \leq \dots \leq a_s\) with \(\sum_{i=1}^s 1/a_i < n - 1/30\), then this sum can be decomposed into \(n\) parts so that all partial sums are \(\leq 1\). In this note we propose a counterexample which gives a negative answer to this conjecture.
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Erdős-Graham-Spencer conjecture
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Erdős problem
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partition
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