1Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary 2University of Oxford, Oxford, UK
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 3, pp. 695-699
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Peter Frankl; Andrey Kupavskii; Peter Frankl; Andrey Kupavskii. Some results around the Erdős Matching Conjecture. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 3, pp. 695-699. http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a52/
@article{AMUC_2019_88_3_a52,
author = {Peter Frankl and Andrey Kupavskii and Peter Frankl and Andrey Kupavskii},
title = { Some results around the {Erd\H{o}s} {Matching} {Conjecture}},
journal = {Acta mathematica Universitatis Comenianae},
pages = {695--699},
year = {2019},
volume = {88},
number = {3},
url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a52/}
}
TY - JOUR
AU - Peter Frankl
AU - Andrey Kupavskii
AU - Peter Frankl
AU - Andrey Kupavskii
TI - Some results around the Erdős Matching Conjecture
JO - Acta mathematica Universitatis Comenianae
PY - 2019
SP - 695
EP - 699
VL - 88
IS - 3
UR - http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a52/
ID - AMUC_2019_88_3_a52
ER -
%0 Journal Article
%A Peter Frankl
%A Andrey Kupavskii
%A Peter Frankl
%A Andrey Kupavskii
%T Some results around the Erdős Matching Conjecture
%J Acta mathematica Universitatis Comenianae
%D 2019
%P 695-699
%V 88
%N 3
%U http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a52/
%F AMUC_2019_88_3_a52
More than 50 years ago, Erd\H{o}s asked the following question: what is the largest family of $k$-element subsets of $[n]$ with no $s$ pairwise disjoint sets? In this abstract, we discuss recent progress on this problem and its generalizations.