On representing sylvester-gallai designs

Endre Boros; Zoltan Füredi; L. M. Kelly

doi:10.1007/BF02187735

On representing sylvester-gallai designs

Endre Boros, Zoltan Füredi, L. M. Kelly

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

4 Scopus citations

Abstract

A misstated conjecture in [3] leads to an interesting "(1, 3) representation" of the 7-point projective plane in R⁴ where points are represented by lines and planes by 3-spaces. The corrected form of the original conjecture will be negated if there is a (1, 3) representation of the 13-point projective plane in R⁴ but that matter is not settled.

Original language	English (US)
Pages (from-to)	345-348
Number of pages	4
Journal	Discrete & Computational Geometry
Volume	4
Issue number	1
DOIs	https://doi.org/10.1007/BF02187735
State	Published - Dec 1989
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

Access to Document

10.1007/BF02187735

Cite this

@article{683860f491724ced95ae80f7904cf78a,

title = "On representing sylvester-gallai designs",

abstract = "A misstated conjecture in [3] leads to an interesting {"}(1, 3) representation{"} of the 7-point projective plane in R4 where points are represented by lines and planes by 3-spaces. The corrected form of the original conjecture will be negated if there is a (1, 3) representation of the 13-point projective plane in R4 but that matter is not settled.",

author = "Endre Boros and Zoltan F{\"u}redi and Kelly, {L. M.}",

year = "1989",

month = dec,

doi = "10.1007/BF02187735",

language = "English (US)",

volume = "4",

pages = "345--348",

journal = "Discrete & Computational Geometry",

issn = "0179-5376",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - On representing sylvester-gallai designs

AU - Boros, Endre

AU - Füredi, Zoltan

AU - Kelly, L. M.

PY - 1989/12

Y1 - 1989/12

N2 - A misstated conjecture in [3] leads to an interesting "(1, 3) representation" of the 7-point projective plane in R4 where points are represented by lines and planes by 3-spaces. The corrected form of the original conjecture will be negated if there is a (1, 3) representation of the 13-point projective plane in R4 but that matter is not settled.

AB - A misstated conjecture in [3] leads to an interesting "(1, 3) representation" of the 7-point projective plane in R4 where points are represented by lines and planes by 3-spaces. The corrected form of the original conjecture will be negated if there is a (1, 3) representation of the 13-point projective plane in R4 but that matter is not settled.

UR - http://www.scopus.com/inward/record.url?scp=34249972315&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34249972315&partnerID=8YFLogxK

U2 - 10.1007/BF02187735

DO - 10.1007/BF02187735

M3 - Article

AN - SCOPUS:34249972315

SN - 0179-5376

VL - 4

SP - 345

EP - 348

JO - Discrete & Computational Geometry

JF - Discrete & Computational Geometry

IS - 1

ER -

On representing sylvester-gallai designs

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this