On the existence of cycle frames and almost resolvable cycle systems
β Scribed by H. Cao; M. Niu; C. Tang
- Book ID
- 113567377
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 274 KB
- Volume
- 311
- Category
- Article
- ISSN
- 0012-365X
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## Abstract The purpose of this paper is the initiation of an attack on the __general existence problem__ for almost resolvable 2__k__βcycle systems. We give a complete solution for 2__k__=6 as well as a complete solution modulo one possible exception for 2__k__=10 and 14. We also show that the exi
## Abstract In this article, it is shown that there exists a 1βrotationally resolvable 4βcycle system of 2K~Ο ~ if and only if Ο ββ‘β0 (mod 4). To prove that, some special sequences of integers are utilized. Β© 2002 Wiley Periodicals, Inc. J Combin Designs 10: 116β125, 2002; DOI 10.1002/jcd.10006
An MTS(v) [or DTS(v)] is said to be resolvable, denoted by RMTS(v) [or RDTS(v)], if its block set can be partitioned into parallel classes. An MTS(v) [or DTS(v)] is said to be almost resolvable, denoted by ARMTS(v) [or ARDTS(v)], if its bloak set can be partitioned into almost parallel classes. The