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

โœ Scribed by Paul Terwilliger


Publisher
Springer Japan
Year
2005
Tongue
English
Weight
351 KB
Volume
21
Category
Article
ISSN
0911-0119

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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 โ‰ฅ 3. Suppose is Q-polynomial with respect to the ordering E 0 , E 1 , . . . , E D of