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Title: Near-sunflowers and focal families
We present some problems and results about variants of sunflowers in families of sets. In particular, we improve an upper bound of the first author, Körner and Monti on the maximum number of binary vectors of length n so that every four of them are split into two pairs by some coordinate. We also propose a weaker version of the Erdős-Rado sunflower conjecture.  more » « less
Award ID(s):
2154082
PAR ID:
10498649
Author(s) / Creator(s):
;
Publisher / Repository:
Springer Link
Date Published:
Journal Name:
Israel Journal of Mathematics
Volume:
256
Issue:
1
ISSN:
0021-2172
Page Range / eLocation ID:
21 to 33
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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