✦ LIBER ✦

The Displacement and Split Decompositions for a Q-Polynomial Distance-regular Graph

✍ Scribed by Paul Terwilliger

Publisher: Springer Japan
Year: 2005
Tongue: English
Weight: 351 KB
Volume: 21
Category: Article
ISSN: 0911-0119
DOI: 10.1007/s00373-004-0594-8

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Tight Distance-Regular Graphs and the Q-

Tight Distance-Regular Graphs and the Q-Polynomial Property

✍ Arlene A. Pascasio 📂 Article 📅 2001 🏛 Springer Japan 🌐 English ⚖ 179 KB

On the Multiplicities of the Primitive I

On the Multiplicities of the Primitive Idempotents of a Q-Polynomial Distance-regular Graph

✍ Arlene A Pascasio 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 154 KB

and Terwilliger recently introduced the notion of a tridiagonal pair. We apply their results to distance-regular graphs and obtain the following theorem. THEOREM. Let denote a distance-regular graph with diameter D ≥ 3. Suppose is Q-polynomial with respect to the ordering E 0 , E 1 , . . . , E D of