The Terwilliger algebra of the incidence graph of the Hamming graph

DOI10.1007/s10801-017-0793-zzbMath1396.05050OpenAlexW2761132330MaRDI QIDQ1785715

Masato Tomiyama

Publication date: 1 October 2018

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

Full work available at URL: https://doi.org/10.1007/s10801-017-0793-z

zbMATH Keywords

Terwilliger algebradistance-regular graphHamming graphdistance-semiregular graphincidence graph

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

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 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

Cites Work

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• Completely regular clique graphs. II
• The Terwilliger algebra of the incidence graphs of Johnson geometry
• Completely regular clique graphs
• 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
• The Terwilliger algebra of the Johnson schemes
• The Terwilliger algebra of Odd graphs
• More on the Terwilliger algebra of Johnson schemes
• The Terwilliger algebra of the incidence graphs of Johnson geometry. II.
• The Terwilliger algebra of a Hamming scheme \(H(d,q)\)
• The Subconstituent Algebra of a Strongly Regular Graph