Skew-symmetric association schemes with two classes and strongly regular graphs of type \(L_{2n-1}(4n-1)\)

DOI10.1007/BF00053382zbMath0760.05095OpenAlexW2150864125WikidataQ56872294 ScholiaQ56872294MaRDI QIDQ1201911

Dimitrii V. Pasechnik

Publication date: 17 January 1993

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00053382

zbMATH Keywords

strongly regular graphsskew-symmetric associated schemes

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (9)

A non-Schurian coherent configuration on 14 points exists ⋮ Implementing Brouwer's database of strongly regular graphs ⋮ The Paulus–Rozenfeld–Thompson Graph on 26 Vertices Revisited and Related Combinatorial Structures ⋮ On highly regular strongly regular graphs ⋮ Almost designs and their links with balanced incomplete block designs ⋮ On graphs with three eigenvalues ⋮ Association schemes of small order ⋮ Construction of strongly regular graphs having an automorphism group of composite order ⋮ Strongly regular graphs with the \(7\)-vertex condition

Cites Work

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• Hadamard tournaments with transitive automorphism groups
• Galois correspondence between permutation groups and cellular rings (association schemes)
• Strongly regular graphs
• On construction and identification of graphs. With contributions by A. Lehman, G. M. Adelson-Velsky, V. Arlazarov, I. Faragev, A. Uskov, I. Zuev, M. Rosenfeld and B. Weisfeiler
• Tournaments and Hadamard matrices
• Doubly regular tournaments are equivalent to skew Hadamard matrices
• The Rank 3 Permutation Representations of the Finite Classical Groups
• The Affine Permutation Groups of Rank Three
• Orthogonal Matrices with Zero Diagonal

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