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The Terwilliger algebra of Odd graphs

✍ Scribed by Kong, Qian; Lv, Benjian; Wang, Kaishun

Book ID
121676096
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
204 KB
Volume
313
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES

The Terwilliger algebra of a distance-re
The Terwilliger algebra of a distance-regular graph of negative type
✍ Ε tefko Miklavič πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 258 KB

Let denote a distance-regular graph with diameter D 3. Assume has classical parameters (D, b, α, β) with b < -1. Let X denote the vertex set of and let A ∈ Mat X (C) denote the adjacency matrix of . Fix x ∈ X and let A \* ∈ Mat X (C) denote the corresponding dual adjacency matrix. Let T denote the s

The Terwilliger Algebra of a 2-Homogeneo
The Terwilliger Algebra of a 2-Homogeneous Bipartite Distance-Regular Graph
✍ Brian Curtin πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 200 KB

Let 1 denote a 2-homogeneous bipartite distance-regular graph with diameter D 3 and valency k 3. Assume that 1 is not isomorphic to a Hamming cube. Fix a vertex x of 1, and let T=T(x) denote the Terwilliger algebra of T with respect to x. We give three sets of generators for T, two of which satisfy

The Terwilliger Algebra of the Hypercube
The Terwilliger Algebra of the Hypercube
✍ Junie T Go πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 285 KB

Using the above equations, we find the irreducible T -modules. For each irreducible T -module W , we display two orthogonal bases, which we call the standard basis and the dual standard basis. We describe the action of A and A \* on each of these bases. We give the transition matrix from the standar

A Generalization of the Terwilliger Alge
A Generalization of the Terwilliger Algebra
✍ Eric S. Egge πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 226 KB

bra generated by a given Bose Mesner algebra M and the associated dual Bose Mesner algebra M U . This algebra is now known as the Terwilliger algebra and is usually denoted by T. Terwilliger showed that each vanishing intersection number and Krein parameter of M gives rise to a relation on certain g