The hyperplanes of the near hexagon on the 2-factors of the complete graph \(K_8\)

DOI10.1016/j.disc.2007.10.028zbMath1178.05079OpenAlexW2064887775MaRDI QIDQ998445

Harm Pralle, Bart De Bruyn

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.10.028

zbMATH Keywords

hyperplanegeneralized quadrangleuniversal embeddingnear hexagon\(2\)--factor

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (3)

Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\) ⋮ The hyperplanes of the \(U_{4}(3)\) near hexagon ⋮ The hyperplanes of the glued near hexagon \(Q(5,2)\otimes Q(5,2)\)

Cites Work

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• Embeddings and hyperplanes of discrete geometries
• The exceptional hyperplanes of \(DH(5,4)\)
• The combinatorial properties of the hyperplanes of \(D\)W\((5,q)\) arising from embedding
• The structure of near polygons with quads
• Near \(n\)-gons and line systems
• On Veldkamp lines
• Near polygons and Fischer spaces
• The hyperplanes of the \(M_{24}\) near polygon
• The universal embedding dimension of the binary symplectic dual polar space
• The universal embedding dimension of the near polygon on the \(1\)-factors of a complete graph
• The distance-2-sets of the slim dense near hexagons
• Hyperplanes of dual polar spaces of rank 3 with no subquadrangular quad
• The hyperplanes of DH(5, q 2)
• Geometric hyperplanes in generalized hexagons of order (2,2)
• VALUATIONS OF NEAR POLYGONS
• The Hyperplanes ofDW(5, 2)
• On the universal embedding of the \(Sp_{2n}(2)\) dual polar space
• Uniform hyperplanes of finite dual polar spaces of rank 3

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