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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 |
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Article number | 103732 |
Number of pages | 13 |
Journal | European Journal of Combinatorics |
Volume | 112 |
DOIs | |
Publication status | Published - Aug 2023 |
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Dive into the research topics of 'Separating rank 3 graphs'. Together they form a unique fingerprint.Projects
- 1 Finished
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The synchronisation hierarchy of permutation groups
Bamberg, J. (Investigator 01), Giudici, M. (Investigator 02) & Royle, G. (Investigator 03)
ARC Australian Research Council
1/07/20 → 31/12/23
Project: Research