The subconstituent algebra of a bipartite distance-regular graph; thin modules with endpoint two

DOI10.1016/j.disc.2007.03.071zbMath1136.05076arXivmath/0604351OpenAlexW1998490722MaRDI QIDQ2470002

Mark S. MacLean, Paul M. Terwilliger

Publication date: 11 February 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604351

zbMATH Keywords

Terwilliger algebradistance-regular graphassociation scheme

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (9)

An \(A\)-invariant subspace for bipartite distance-regular graphs with exactly two irreducible \(T\)-modules with endpoint 2, both thin ⋮ A new characterization of taut distance-regular graphs of odd diameter ⋮ A new approach to the bipartite fundamental bound ⋮ The local eigenvalues of a bipartite distance-regular graph ⋮ On bipartite distance-regular graphs with exactly two irreducible T-modules with endpoint two ⋮ A combinatorial basis for Terwilliger algebra modules of a bipartite distance-regular graph ⋮ A diagram associated with the subconstituent algebra of a distance-regular graph ⋮ Commutative association schemes ⋮ On (almost) \(2\)-\(Y\)-homogeneous distance-biregular graphs

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