On a certain class of 1-thin distance-regular graphs

DOI10.26493/1855-3974.2193.0b0zbMath1464.05360OpenAlexW3037428931MaRDI QIDQ4988848

Mark S. MacLean, Štefko Miklavič

Publication date: 19 May 2021

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/1855-3974.2193.0b0

zbMATH Keywords

Terwilliger algebradistance-regular graphsubconstituent algebra

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (6)

On the trivial \(T\)-module of a graph ⋮ On standard bases of irreducible modules of Terwilliger algebras of Doob schemes ⋮ Distance-regular graphs with classical parameters that support a uniform structure: case \(q \leq 1\) ⋮ On bipartite graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin ⋮ Certain graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin ⋮ On (almost) \(2\)-\(Y\)-homogeneous distance-biregular graphs

Cites Work

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• The subconstituent algebra of an association scheme. I
• The subconstituent algebra of an association scheme. III
• The subconstituent algebra of an association scheme. II
• The Terwilliger algebra of the hypercube
• Bipartite distance-regular graphs. I
• Tight distance-regular graphs
• 1-homogeneous, pseudo-1-homogeneous, and 1-thin distance-regular graphs
• Tight distance-regular graphs and the subconstituent algebra
• \(Q\)-polynomial distance-regular graphs with \(a_1=0\) and \(a_2\neq 0\)
• A generalization of the Terwilliger algebra

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