arXiv Open Access 2020

On the size of maximal intersecting families

Dmitrii Zakharov
Lihat Sumber

Abstrak

We show that an $n$-uniform maximal intersecting family has size at most $e^{-n^{0.5+o(1)}}n^n$. This improves a recent bound by Frankl. The Spread Lemma of Alweiss, Lowett, Wu and Zhang plays an important role in the proof.

Topik & Kata Kunci

Penulis (1)

D

Dmitrii Zakharov

Format Sitasi

Zakharov, D. (2020). On the size of maximal intersecting families. https://arxiv.org/abs/2010.02541

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2020
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓