Near-sunflowers and focal families

Noga Alon, Ron Holzman

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)21-33
Number of pages13
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - Sep 2023

All Science Journal Classification (ASJC) codes

  • General Mathematics


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