Krein conditions and near polygons

DOI10.1016/0097-3165(90)90030-ZzbMath0738.05025OpenAlexW2029119795MaRDI QIDQ1814040

Arnold Neumaier

Publication date: 25 June 1992

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(90)90030-z

zbMATH Keywords

Krein conditionnear hexagonsMathon's inequality

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Other designs, configurations (05B30)

Related Items (14)

A new inequality for distance-regular graphs ⋮ A characterization of the Coxeter cap ⋮ Extremal generalized hexagons and triple intersection numbers ⋮ On tetrahedrally closed line systems and a generalization of the Haemers-Roos inequality ⋮ Some notes on tetrahedrally closed spherical sets in Euclidean spaces ⋮ On near polygons all whose hexes are dual polar spaces ⋮ The completion of the classification of the finite dense near \(2d\)-gons, \(d \in \{3,4\}\), with four points on each line ⋮ On symmetric association schemes and associated quotient-polynomial graphs ⋮ A Higman inequality for regular near polygons ⋮ On \(Q\)-polynomial regular near \(2d\)-gons ⋮ The subconstituent algebra of an association scheme. I ⋮ The completion of the classification of the regular near octagons with thick quads ⋮ A generalization of the Haemers-Mathon bound for near hexagons ⋮ A combinatorial characterization of extremal generalized hexagons

Cites Work

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• The structure of near polygons with quads
• Near \(n\)-gons and line systems
• Strongly regular graphs having strongly regular subconstituents
• An inequality for generalized hexagons
• Automorphic graphs and the Krein condition
• A new inequality for distance-regular graphs
• On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs
• A new 5‐arc‐transitive cubic graph

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