A generalization of Wallis--Fon-Der-Flaass construction of strongly regular graphs

DOI10.1007/s10801-006-0030-7zbMath1111.05101OpenAlexW2033271298MaRDI QIDQ871281

Mikhail E. Muzychuk

Publication date: 16 March 2007

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-006-0030-7

zbMATH Keywords

prolific construction

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (13)

Implementing Brouwer's database of strongly regular graphs ⋮ Association schemes on 28 points as mergings of a half-homogeneous coherent configuration ⋮ New versions of the Wallis-Fon-Der-Flaass construction to create divisible design graphs ⋮ Strongly regular graphs from classical generalized quadrangles ⋮ The smallest strictly Neumaier graph and its generalisations ⋮ A new construction of strongly regular graphs with parameters of the complement symplectic graph ⋮ On the order of antipodal covers ⋮ On a family of highly regular graphs by Brouwer, Ivanov, and Klin ⋮ Some implications on amorphic association schemes ⋮ Developments on spectral characterizations of graphs ⋮ Strongly regular tri-Cayley graphs ⋮ On highly regular strongly regular graphs ⋮ Strongly regular graphs with the \(7\)-vertex condition

Cites Work

• Orthogonal partitions in designed experiments
• Spreads in strongly regular graphs
• A prolific construction of strongly regular graphs with the \(n\)-e. c. property
• Distance regular graphs of diameter 3 and strongly regular graphs
• Strongly regular graphs
• A root graph that is locally the line graph of the Petersen graph
• Strongly Regular Graphs Derived from Combinatorial Designs
• Construction of strongly regular graphs using affine designs
• Primitive rank 3 groups on symmetric designs
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