## Abstract Let __Z__~__p__~ denote the cyclic group of order __p__ where __p__ is a prime number. Let __X__ = __X__(__Z__~__p__~, __H__) denote the Cayley digraph of __Z__~__p__~ with respect to the symbol __H__. We obtain a necessary and sufficient condition on __H__ so that the complete graph on
An isomorphic factorization of the complete graph
β Scribed by F. K. Hwang
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 194 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
We give necessary and sufficient conditions that the complete graph K, has an isomorphic factorization into Kr X K,. We show that this factorization has an application to clone library screening.
π SIMILAR VOLUMES
## Abstract We investigate the conjecture that every circulant graph __X__ admits a __k__βisofactorization for every __k__ dividing |__E__(__X__)|. We obtain partial results with an emphasis on small values of __k__. Β© 2006 Wiley Periodicals, Inc. J Combin Designs 14: 406β414, 2006
Let Tp be any tree of order p and A ( T p ) stand for the maximum degree of the vertices of Tp. We prove the following theorem. "If A(Tp) 5 pi, where p > 2i, then Tp is i-placeable in Kp" is true if and only if i = 1, 2, and 3. 0 1996 John Wiley & Sons, Inc. Suppose G is a graph and V ( G ) , E ( G