On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_2 = 0\) and \(c_2 = 2\)

DOI10.1016/j.disc.2016.09.001zbMath1351.05066OpenAlexW2550655811MaRDI QIDQ729780

Safet Penjić

Publication date: 22 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.disc.2016.09.001

zbMATH Keywords

Terwilliger algebradistance-regular graphssubconstituent algebra

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12)

Related Items (11)

On bipartite distance-regular graphs with exactly one non-thin \(T\)-module with endpoint two ⋮ On bounding the diameter of a distance-regular graph ⋮ On the trivial \(T\)-module of a graph ⋮ On the Terwilliger algebra of distance-biregular graphs ⋮ On standard bases of irreducible modules of Terwilliger algebras of Doob schemes ⋮ On the Terwilliger algebra of certain family of bipartite distance-regular graphs with Δ_2 = 0 ⋮ On symmetric association schemes and associated quotient-polynomial graphs ⋮ On bipartite graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin ⋮ Bipartite distance-regular graphs and taut pairs of pseudo primitive idempotents ⋮ 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 bipartite \(Q\)-polynomial distance-regular graphs with \(c_2 \leqslant 2\)
• The subconstituent algebra of an association scheme. I
• The Terwilliger algebra of the hypercube
• The Terwilliger algebra of a distance-regular graph of negative type
• The Terwilliger algebras of bipartite \(P\)- and \(Q\)-polynomial schemes
• Bipartite distance-regular graphs. I
• A new inequality for distance-regular graphs
• The structure of nonthin irreducible \(T\)-modules of endpoint 1: Ladder bases and classical parameters
• 2-homogeneous bipartite distance-regular graphs
• Almost 2-homogeneous bipartite distance-regular graphs
• Bipartite distance-regular graphs. II
• The local structure of a bipartite distance-regular graph
• On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_{2}=0\) and \(c_{2}=1\)

This page was built for publication: On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_2 = 0\) and \(c_2 = 2\)