Near-sunflowers and focal families

Noga Alon; Ron Holzman

doi:10.1007/s11856-023-2500-1

Near-sunflowers and focal families

Noga Alon
, Ron Holzman

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	21-33
Number of pages	13
Journal	Israel Journal of Mathematics
Volume	256
Issue number	1
DOIs	https://doi.org/10.1007/s11856-023-2500-1
State	Published - Sep 2023

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-023-2500-1

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title = "Near-sunflowers and focal families",

abstract = "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, K{\"o}rner 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 Erd{\H o}s–Rado sunflower conjecture.",

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AU - Alon, Noga

AU - Holzman, Ron

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AB - 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.

UR - https://www.scopus.com/pages/publications/85173708791

UR - https://www.scopus.com/pages/publications/85173708791#tab=citedBy

U2 - 10.1007/s11856-023-2500-1

DO - 10.1007/s11856-023-2500-1

M3 - Article

AN - SCOPUS:85173708791

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VL - 256

SP - 21

EP - 33

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

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Near-sunflowers and focal families

Abstract

All Science Journal Classification (ASJC) codes

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