An algebraic approach to Erdős-Ko-Rado sets of flags in spherical buildings
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Publication:2169824
DOI10.1016/j.jcta.2022.105657zbMath1496.05182arXiv2007.01104OpenAlexW4285012791WikidataQ114162633 ScholiaQ114162633MaRDI QIDQ2169824
Jan De Beule, Klaus Metsch, Sam Mattheus
Publication date: 30 August 2022
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.01104
Association schemes, strongly regular graphs (05E30) Grassmannians, Schubert varieties, flag manifolds (14M15) Extremal set theory (05D05) Polar geometry, symplectic spaces, orthogonal spaces (51A50)
Related Items (3)
The proportion of non-degenerate complementary subspaces in classical spaces ⋮ The unique coclique extension property for apartments of buildings ⋮ On the chromatic number of some generalized Kneser graphs
Cites Work
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- An Erdős-Ko-Rado theorem for finite classical polar spaces
- Cocliques in the Kneser graph on the point-hyperplane flags of a projective space
- Cocliques in the Kneser graph on line-plane flags in \(\mathrm{PG}(4, Q)\)
- The Erdős-Ko-Rado theorem for vector spaces
- Buildings of spherical type and finite BN-pairs
- An EKR-theorem for finite buildings of type \(D_{\ell }\)
- An algebraic approach to association schemes
- The eigenspaces of the Bose-Mesner algebras of the association schemes corresponding to projective spaces and polar spaces
- Maximal cocliques in the Kneser graph on plane-solid flags in \(\mathrm{PG}(6,q)\)
- Homogeneous coherent configurations from spherical buildings and other edge-coloured graphs
- An Erdős-Ko-Rado theorem for finite buildings of type \(F_4\)
- An Erdős-Ko-Rado result for sets of pairwise non-opposite lines in finite classical polar spaces
- Theorems of Erdős-Ko-Rado type in polar spaces
- Buildings and Hecke algebras.
- Maximal cocliques in the Kneser graph on point-plane flags in \(\mathrm{PG}(4,q)\)
- Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
- Antidesigns and regularity of partial spreads in dual polar graphs
- Diagram Geometry
- INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
- Erdős–Ko–Rado Theorems: Algebraic Approaches
- Some remarks on representation theory in finite geometry
- Some Erdös–Ko–Rado Theorems for Chevalley Groups
- Seminormal Representations of Weyl Groups and Iwahori-Hecke Algebras
- Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques
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