Derandomized graph products
β Scribed by Noga Alon; Uriel Feige; Avi Wigderson; David Zuckerman
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 915 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1016-3328
No coin nor oath required. For personal study only.
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## 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 _
There are four standard products of graphs: the direct product, the Cartesian product, the strong product and the lexicographic product. The chromatic number turned out to be an interesting parameter on all these products, except on the Cartesian one. A survey is given on the results concerning the