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The Q-polynomial idempotents of a distance-regular graph

✍ Scribed by Aleksandar Jurišić; Paul Terwilliger; Arjana Žitnik

Book ID
108167487
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
164 KB
Volume
100
Category
Article
ISSN
0095-8956

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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