On the Terwilliger algebra of certain family of bipartite distance-regular graphs with Δ_2 = 0

DOI10.26493/2590-9770.1271.e54zbMath1441.05248OpenAlexW3081159332MaRDI QIDQ5121558

Safet Penjić, Štefko Miklavič

Publication date: 15 September 2020

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/2590-9770.1271.e54

zbMATH Keywords

Terwilliger algebradistance-regular graphsirreducible modules

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (2)

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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• On bipartite distance-regular graphs with exactly two irreducible T-modules with endpoint two
• The Terwilliger algebra of the hypercube
• On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_2 = 0\) and \(c_2 = 2\)
• The Terwilliger algebra of a distance-regular graph of negative type
• Bipartite distance-regular graphs. I
• 2-homogeneous bipartite distance-regular graphs
• Almost 2-homogeneous bipartite distance-regular graphs
• An \(A\)-invariant subspace for bipartite distance-regular graphs with exactly two irreducible \(T\)-modules with endpoint 2, both thin
• Bipartite distance-regular graphs. II
• The local structure of a bipartite distance-regular graph
• On bipartite distance-regular graphs with exactly one non-thin \(T\)-module with endpoint two
• A generalization of the Terwilliger algebra
• On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_{2}=0\) and \(c_{2}=1\)

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