On the regularity problem in Terwilliger graphs
β Scribed by A. L. Gavrilyuk; A. A. Makhnev
- Book ID
- 111454470
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2007
- Tongue
- English
- Weight
- 152 KB
- Volume
- 76
- Category
- Article
- ISSN
- 1064-5624
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π SIMILAR VOLUMES
Let denote a distance-regular graph with diameter D 3. Assume has classical parameters (D, b, Ξ±, Ξ²) with b < -1. Let X denote the vertex set of and let A β Mat X (C) denote the adjacency matrix of . Fix x β X and let A \* β Mat X (C) denote the corresponding dual adjacency matrix. Let T denote the s
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