Geometric and pseudo-geometric graphs \((q^ 2 + 1,q + 1,1)\)

DOI10.1007/BF02148139zbMath0226.05124MaRDI QIDQ2548967

S. S. Shrikhande, R. C. Bose

Publication date: 1972

Published in: Journal of Geometry (Search for Journal in Brave)

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (20)

A survey of some problems in combinatorial designs - a matrix approach ⋮ Ovoids of \(\operatorname {PG}(3,q)\) stabilized by a central collineation ⋮ Projective ovoids and generalized quadrangles ⋮ Extremal generalized hexagons and triple intersection numbers ⋮ Probabilistic constructions in generalized quadrangles ⋮ Strongly regular graphs having strongly regular subconstituents ⋮ Laguerre geometries and some connections to generalized quadrangles ⋮ Non-derivable strongly regular graphs from quasi-symmetric designs ⋮ Weighted intriguing sets of finite generalised quadrangles ⋮ A Higman inequality for regular near polygons ⋮ Generalized quadrangles with a spread of symmetry ⋮ Eggs in PG(\(4n-1,q\)), \(q\) even, containing a pseudo-pointed conic ⋮ Generalized quadrangles and regularity ⋮ Geometric characterizations of finite Chevalley groups of type B₂ ⋮ Special partially balanced incomplete block designs and associated graphs ⋮ Intriguing sets in partial quadrangles ⋮ On highly regular strongly regular graphs ⋮ An Inequality for Generalized Quadrangles ⋮ A combinatorial characterization of extremal generalized hexagons ⋮ Flock generalized quadrangles and tetradic sets of elliptic quadrics of PG\((3,q)\)

Cites Work

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• Strongly regular graphs, partial geometries and partially balanced designs
• On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs
• Some Results on Quadrics in Finite Projective Geometry Based on Galois Fields
• Application of the Geometry of Quadrics for Constructing PBIB Designs
• On the Polynomial of a Graph
• A New Family of Partially Balanced Incomplete Block Designs with Some Latin Square Design Properties
• Hermitian Varieties in a Finite Projective Space PG(N, q²)
• Combinatorial Properties of Group Divisible Incomplete Block Designs
• Classification and Analysis of Partially Balanced Incomplete Block Designs with Two Associate Classes
• Some Classes of Partially Balanced Designs

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