Weighted association schemes, fusions, and minimal coherent closures

DOI10.1007/s10801-014-0553-2zbMath1332.05156OpenAlexW1965076496MaRDI QIDQ2346762

A. D. Sankey

Publication date: 4 June 2015

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

Full work available at URL: https://doi.org/10.1007/s10801-014-0553-2

zbMATH Keywords

association schemecoherent configurationregular weightcoherent closureWeisfeiler-Lehman stabilization

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Signed and weighted graphs (05C22)

Related Items (1)

On symmetric association schemes and associated quotient-polynomial graphs

Uses Software

• GAP
• Maple
• SageMath

Cites Work

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• Distance-regular graphs
• Commutative association schemes
• Coherent algebras
• Coherent configurations. I: Ordinary representation theory
• Coherent configurations. II: Weights
• Three-class association schemes
• Directed strongly regular graphs obtained from coherent algebras
• Regular weights of full rank on strongly regular graphs
• Classification of association schemes of small order
• Switching of edges in strongly regular graphs. I: A family of partial difference sets on 100 vertices
• Association schemes on 28 points as mergings of a half-homogeneous coherent configuration
• Regular 2-Graphs
• Imprimitive association schemes of low ranks and Higmanian graphs

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