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 | |
| Publication status | Published - 1 Dec 2019 |
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On intriguing sets of the Penttila-Williford association scheme. / Bamberg, John; Metsch, Klaus.
In: Linear Algebra and Its Applications, Vol. 582, 01.12.2019, p. 327-345.Research output: Contribution to journal › Article
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
VL - 582
SP - 327
EP - 345
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
SN - 0024-3795
ER -