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.
@article{10_37236_11477,
author = {P\'eter P\'al Pach and M\'at\'e Vizer},
title = {Improved lower bounds for multiplicative square-free sequences},
journal = {The electronic journal of combinatorics},
year = {2023},
volume = {30},
number = {4},
doi = {10.37236/11477},
zbl = {1532.05168},
url = {http://geodesic.mathdoc.fr/articles/10.37236/11477/}
}
TY - JOUR
AU - Péter Pál Pach
AU - Máté Vizer
TI - Improved lower bounds for multiplicative square-free sequences
JO - The electronic journal of combinatorics
PY - 2023
VL - 30
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/11477/
DO - 10.37236/11477
ID - 10_37236_11477
ER -
%0 Journal Article
%A Péter Pál Pach
%A Máté Vizer
%T Improved lower bounds for multiplicative square-free sequences
%J The electronic journal of combinatorics
%D 2023
%V 30
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/11477/
%R 10.37236/11477
%F 10_37236_11477
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