Tight Distance-Regular Graphs and the Q-Polynomial Property
โ Scribed by Arlene A. Pascasio
- Publisher
- Springer Japan
- Year
- 2001
- Tongue
- English
- Weight
- 179 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let 1 denote a bipartite Q-polynomial distance-regular graph with diameter D 4. We show that 1 is the quotient of an antipodal distance-regular graph if and only if one of the following holds. (i) 1 is a cycle of even length. (ii) 1 is the quotient of the 2D-cube. 1999 Academic Press \* , ..., %\
i=0 the polynomials involved are orthogonal and we display the orthogonality relations. We also show that each of the sequences satisfy a three-term recurrence and a relation known as the Askey-Wilson duality. We then turn our attention to two more bases for W. We find the matrix representations of