Constructing dense GRID-Free linear 3-graphs

Lior Gishboliner; Asaf Shapira

doi:10.1090/proc/15673

Constructing dense GRID-Free linear 3-graphs

Lior Gishboliner, Asaf Shapira

School of Mathematical Sciences

Tel Aviv University

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

Abstract

We show that there exist linear 3-uniform hypergraphs with n vertices and Ω(n²) edges which contain no copy of the 3 × 3 grid. This makes significant progress on a conjecture of Füredi and Ruszinkó. We also discuss connections to proving lower bounds for the (9, 6) Brown-Erdos-Sós problem and to a problem of Solymosi and Solymosi.

Original language	English
Pages (from-to)	69-74
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	150
Issue number	1
DOIs	https://doi.org/10.1090/proc/15673
State	Published - 2022

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Access to Document

10.1090/proc/15673

Cite this

@article{34bdc43fb48042b899a4dcfe02fe0d11,

title = "Constructing dense GRID-Free linear 3-graphs",

abstract = "We show that there exist linear 3-uniform hypergraphs with n vertices and Ω(n2) edges which contain no copy of the 3 × 3 grid. This makes significant progress on a conjecture of F{\"u}redi and Ruszink{\'o}. We also discuss connections to proving lower bounds for the (9, 6) Brown-Erdos-S{\'o}s problem and to a problem of Solymosi and Solymosi.",

author = "Lior Gishboliner and Asaf Shapira",

note = "Publisher Copyright: 2021 American Mathematical Society",

year = "2022",

doi = "10.1090/proc/15673",

language = "الإنجليزيّة",

volume = "150",

pages = "69--74",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - Constructing dense GRID-Free linear 3-graphs

AU - Gishboliner, Lior

AU - Shapira, Asaf

PY - 2022

Y1 - 2022

N2 - We show that there exist linear 3-uniform hypergraphs with n vertices and Ω(n2) edges which contain no copy of the 3 × 3 grid. This makes significant progress on a conjecture of Füredi and Ruszinkó. We also discuss connections to proving lower bounds for the (9, 6) Brown-Erdos-Sós problem and to a problem of Solymosi and Solymosi.

AB - We show that there exist linear 3-uniform hypergraphs with n vertices and Ω(n2) edges which contain no copy of the 3 × 3 grid. This makes significant progress on a conjecture of Füredi and Ruszinkó. We also discuss connections to proving lower bounds for the (9, 6) Brown-Erdos-Sós problem and to a problem of Solymosi and Solymosi.

UR - http://www.scopus.com/inward/record.url?scp=85122040637&partnerID=8YFLogxK

U2 - 10.1090/proc/15673

DO - 10.1090/proc/15673

M3 - مقالة

SN - 0002-9939

VL - 150

SP - 69

EP - 74

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

Constructing dense GRID-Free linear 3-graphs

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this