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The unique coclique
extension property for apartments of buildings
Andries E. Brouwer, Jan Draisma and Çiçek Güven |
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Vol. 20 (2023), No. 2-3, 209–221
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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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Authors |
| Andries E. Brouwer | |
| Technical University of
Eindhoven Eindhoven Netherlands |
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| Jan Draisma | |
| Mathematical Institute University of Bern Bern Switzerland |
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| Çiçek Güven | |
| Tilburg University Tilburg Netherlands |
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| © 2023 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
