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Improved lower bounds for multiplicative square-free sequences - MaRDI portal

Improved lower bounds for multiplicative square-free sequences (Q6117250)

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scientific article; zbMATH DE number 7806258
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Improved lower bounds for multiplicative square-free sequences
scientific article; zbMATH DE number 7806258

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    Improved lower bounds for multiplicative square-free sequences (English)
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    16 February 2024
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    Summary: In this short paper we improve an almost 30 years old result of \textit{P. Erdős} et al. [Eur. J. Comb. 16, No. 6, 567--588 (1995; Zbl 0840.11010)] on lower bounds for the size of multiplicative square-free sequences. Our construction uses Berge-cycle free hypergraphs that is interesting in its own right.
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    multiplicative Sidon problem
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    hypergraph girth problem
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