Separating rank 3 graphs

John Bamberg; Michael Giudici; Jesse Lansdown; Gordon F. Royle

doi:10.1016/j.ejc.2023.103732

Separating rank 3 graphs

John Bamberg, Michael Giudici, Jesse Lansdown, Gordon F. Royle

Mathematics and Statistics

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

2 Citations (Scopus)

Abstract

We classify, up to some notoriously hard cases, the rank 3 graphs which fail to meet either the Delsarte or the Hoffman bound. As a consequence, we resolve the question of separation for the corresponding rank 3 primitive groups and give new examples of synchronising, but not QI, groups of affine type.

Original language	English
Article number	103732
Number of pages	13
Journal	European Journal of Combinatorics
Volume	112
DOIs	https://doi.org/10.1016/j.ejc.2023.103732
Publication status	Published - Aug 2023

Access to Document

10.1016/j.ejc.2023.103732

https://arxiv.org/abs/2211.02326

Cite this

@article{946dee6f1bdc40368fc880ba50d2b7a5,

title = "Separating rank 3 graphs",

abstract = "We classify, up to some notoriously hard cases, the rank 3 graphs which fail to meet either the Delsarte or the Hoffman bound. As a consequence, we resolve the question of separation for the corresponding rank 3 primitive groups and give new examples of synchronising, but not QI, groups of affine type.",

author = "John Bamberg and Michael Giudici and Jesse Lansdown and Royle, {Gordon F.}",

year = "2023",

month = aug,

doi = "10.1016/j.ejc.2023.103732",

language = "English",

volume = "112",

journal = "European Journal of Combinatorics",

issn = "0195-6698",

publisher = "Academic Press",

}

TY - JOUR

T1 - Separating rank 3 graphs

AU - Bamberg, John

AU - Giudici, Michael

AU - Lansdown, Jesse

AU - Royle, Gordon F.

PY - 2023/8

Y1 - 2023/8

N2 - We classify, up to some notoriously hard cases, the rank 3 graphs which fail to meet either the Delsarte or the Hoffman bound. As a consequence, we resolve the question of separation for the corresponding rank 3 primitive groups and give new examples of synchronising, but not QI, groups of affine type.

AB - We classify, up to some notoriously hard cases, the rank 3 graphs which fail to meet either the Delsarte or the Hoffman bound. As a consequence, we resolve the question of separation for the corresponding rank 3 primitive groups and give new examples of synchronising, but not QI, groups of affine type.

UR - http://www.scopus.com/inward/record.url?scp=85157992015&partnerID=8YFLogxK

U2 - 10.1016/j.ejc.2023.103732

DO - 10.1016/j.ejc.2023.103732

M3 - Article

AN - SCOPUS:85157992015

SN - 0195-6698

VL - 112

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

M1 - 103732

ER -

Separating rank 3 graphs

Abstract

Access to Document

Other files and links

Fingerprint

The synchronisation hierarchy of permutation groups

Cite this

Separating rank 3 graphs

Abstract

Access to Document

Other files and links

Fingerprint

Projects

The synchronisation hierarchy of permutation groups

Cite this