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Abstract
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We show that the Kneser graph of objects of a fixed type in a building of spherical
type has the unique coclique extension property when the corresponding
representation has minuscule weight and also when the diagram is simply laced and
the representation is adjoint.
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Keywords
Kneser graph, Erdős–Ko–Rado
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Mathematical Subject Classification
Primary: 05E18, 51E24
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Milestones
Received: 2 August 2022
Revised: 19 November 2022
Accepted: 4 December 2022
Published: 13 September 2023
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© 2023 The Author(s), under
exclusive license to MSP (Mathematical Sciences
Publishers). |
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