On bipartite graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin

DOI10.1016/j.ejc.2021.103387zbMath1469.05165OpenAlexW3179143526MaRDI QIDQ2048362

Blas Fernández, Štefko Miklavič

Publication date: 5 August 2021

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2021.103387

zbMATH Keywords

Terwilliger algebracommutative association schemenon-distance-regular graphs

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Distance in graphs (05C12) Combinatorial aspects of groups and algebras (05E16)

Related Items (3)

On the trivial \(T\)-module of a graph ⋮ Certain graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin ⋮ On (almost) \(2\)-\(Y\)-homogeneous distance-biregular graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Lee association schemes over \(\mathbb{Z}_4\) and their Terwilliger algebra
• On bipartite distance-regular graphs with exactly two irreducible T-modules with endpoint two
• The subconstituent algebra of an association scheme. I
• On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_2 = 0\) and \(c_2 = 2\)
• Terwilliger algebras of wreath products of association schemes
• An \(A\)-invariant subspace for bipartite distance-regular graphs with exactly two irreducible \(T\)-modules with endpoint 2, both thin
• On bipartite \(Q\)-polynomial distance-regular graphs with diameter 9, 10, or 11
• 1-homogeneous, pseudo-1-homogeneous, and 1-thin distance-regular graphs
• The Terwilliger algebra of a distance-regular graph that supports a spin model
• The Terwilliger algebra of the incidence graph of the Hamming graph
• The quantum adjacency algebra and subconstituent algebra of a graph
• The isomorphism problem of trees from the viewpoint of Terwilliger algebras
• The Norton algebra of a \(Q\)-polynomial distance-regular graph
• On the Terwilliger algebra of distance-biregular graphs
• The Terwilliger algebra of the Grassmann scheme \(J_q(N,D)\) revisited from the viewpoint of the quantum affine algebra \(U_q(\hat{\mathfrak{sl}}_2)\)
• The Terwilliger algebra of the Johnson scheme \(J(N, D)\) revisited from the viewpoint of group representations
• On bipartite distance-regular graphs with exactly one non-thin \(T\)-module with endpoint two
• On a certain class of 1-thin distance-regular graphs
• On pseudo-distance-regularity
• On the algebraic theory of pseudo-distance-regularity around a set
• On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_{2}=0\) and \(c_{2}=1\)

This page was built for publication: On bipartite graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin