Multiplicative designs II. Uniform normal and related structures

DOI10.1016/0097-3165(79)90016-5zbMath0443.05023OpenAlexW2005379968MaRDI QIDQ1144023

S. H. Smith

Publication date: 1979

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(79)90016-5

zbMATH Keywords

incidence matrixgraph eigenvaluesmultiplicative designsupplementary difference set

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Combinatorial structures in finite projective spaces (51E20) General block designs in finite geometry (51E05) Other finite incidence structures (geometric aspects) (51E30)

Related Items (14)

Hoffman polynomials of nonnegative irreducible matrices and strongly connected digraphs ⋮ Rational congruence for uniform multiplicative designs ⋮ Bi-Cayley normal uniform multiplicative designs ⋮ On graphs with just three distinct eigenvalues ⋮ Combinatorial designs with two singular values. I: Uniform multiplicative designs ⋮ Difference sets with few character values ⋮ Matrices and set intersections ⋮ Applications of algebraic duality to group divisible structures ⋮ Multiplicative cones - a family of three eigenvalue graphs ⋮ Graphs with few distinct eigenvalues and extremal energy ⋮ Some new aspects of main eigenvalues of graphs ⋮ On graphs with three eigenvalues ⋮ Construction of integral graphs ⋮ Tactical decompositions in uniform normal designs

Cites Work

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• Multiplicative designs I: The normal and reducible cases
• The \(\lambda\)-designs with multiplicative duals
• Line graphs, root systems, and elliptic geometry
• On \(\lambda\)-designs
• On the replications of certain multiplicative designs
• Combinatorics. Room squares, sum-free sets, Hadamard matrices
• An extension of a theorem of the Bruijn and Erdős on combinatorial designs
• Symmetric designs and related configurations
• On supplementary difference sets
• On the Polynomial of a Graph
• On a combinatorial generalization of 27 lines associated with a cubic surface
• Square λ-Linked Designs
• GRAPHS WITH A SMALL NUMBER OF DISTINCT EIGENVALUES

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