On intriguing sets of the Penttila-Williford association scheme

John Bamberg; Klaus Metsch

doi:10.1016/j.laa.2019.08.005

On intriguing sets of the Penttila-Williford association scheme

John Bamberg, Klaus Metsch

Mathematics and Statistics

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

Abstract

We investigate intriguing sets of an association scheme introduced by Penttila and Williford (2011) that was the basis for their construction of primitive cometric association schemes that are not P-polynomial nor the dual of a P-polynomial scheme. In particular, we give examples and characterisation results for the four types of intriguing sets that arise in this scheme.

Original language	English
Pages (from-to)	327-345
Number of pages	19
Journal	Linear Algebra and Its Applications
Volume	582
DOIs	https://doi.org/10.1016/j.laa.2019.08.005
Publication status	Published - 1 Dec 2019

Access to Document

10.1016/j.laa.2019.08.005

https://arxiv.org/abs/1902.03695Licence: CC BY-ND

Cite this

@article{5b04ad61bc4647b2a0029ecd74259396,

title = "On intriguing sets of the Penttila-Williford association scheme",

abstract = "We investigate intriguing sets of an association scheme introduced by Penttila and Williford (2011) that was the basis for their construction of primitive cometric association schemes that are not P-polynomial nor the dual of a P-polynomial scheme. In particular, we give examples and characterisation results for the four types of intriguing sets that arise in this scheme.",

keywords = "Association scheme, Elliptic quadric, Intriguing set",

author = "John Bamberg and Klaus Metsch",

year = "2019",

month = dec,

day = "1",

doi = "10.1016/j.laa.2019.08.005",

language = "English",

volume = "582",

pages = "327--345",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier",

}

TY - JOUR

T1 - On intriguing sets of the Penttila-Williford association scheme

AU - Bamberg, John

AU - Metsch, Klaus

PY - 2019/12/1

Y1 - 2019/12/1

N2 - We investigate intriguing sets of an association scheme introduced by Penttila and Williford (2011) that was the basis for their construction of primitive cometric association schemes that are not P-polynomial nor the dual of a P-polynomial scheme. In particular, we give examples and characterisation results for the four types of intriguing sets that arise in this scheme.

AB - We investigate intriguing sets of an association scheme introduced by Penttila and Williford (2011) that was the basis for their construction of primitive cometric association schemes that are not P-polynomial nor the dual of a P-polynomial scheme. In particular, we give examples and characterisation results for the four types of intriguing sets that arise in this scheme.

KW - Association scheme

KW - Elliptic quadric

KW - Intriguing set

UR - http://www.scopus.com/inward/record.url?scp=85070650979&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2019.08.005

DO - 10.1016/j.laa.2019.08.005

M3 - Article

AN - SCOPUS:85070650979

VL - 582

SP - 327

EP - 345

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

ER -

On intriguing sets of the Penttila-Williford association scheme

Abstract

Access to Document

Other files and links

Fingerprint

Cite this