Tight Graphs and Their Primitive Idempotents
β Scribed by Arlene A. Pascasio
- Book ID
- 110373461
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 71 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0925-9899
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A graph G is said to be hom-idempotent if there is a homomorphism from G 2 to G, and weakly hom-idempotent if for some n β₯ 1 there is a homomorphism from G n+1 to G n . We characterize both classes of graphs in terms of a special class of Cayley graphs called normal Cayley graphs. This allows us to
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 β₯ 3. Suppose is Q-polynomial with respect to the ordering E 0 , E 1 , . . . , E D of
## Abstract In this article, we study a new product of graphs called __tight product__. A graph __H__ is said to be a tight product of two (undirected multi) graphs __G__~1~ and __G__~2~, if __V__(__H__) = __V__(__G__~1~) Γ __V__(__G__~2~) and both projection maps __V__(__H__)β__V__(__G__~1~) and _