Improved lower bounds for multiplicative square-free sequences
The electronic journal of combinatorics, Tome 30 (2023) no. 4
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In this short paper we improve an almost 30 years old result of Erdős, Sárközy and Sós 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.
DOI : 10.37236/11477
Classification : 05D99, 05C65, 11B75
Mots-clés : multiplicative Sidon problem, hypergraph girth problem

Péter Pál Pach    ; Máté Vizer  1

1 Alfréd Rényi Institute of Mathematics,Hungarian Academy of Sciences
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Péter Pál Pach; Máté Vizer. Improved lower bounds for multiplicative square-free sequences. The electronic journal of combinatorics, Tome 30 (2023) no. 4. doi: 10.37236/11477

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