## Abstract In this article, necessary and sufficient conditions for the existence of a 1โrotationally resolvable evenโcycle system of ฮป__K__~__v__~ are given, which are eventually for the existence of a resolvable evenโcycle system of ฮป__K__~__v__~. ยฉ 2003 Wiley Periodicals, Inc. J Combin Designs
1-rotationally resolvable 4-cycle systems of 2Kv
โ Scribed by Hung-Lin Fu; Miwako Mishima
- Book ID
- 102307084
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 126 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1063-8539
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โฆ Synopsis
Abstract
In this article, it is shown that there exists a 1โrotationally resolvable 4โcycle system of 2K~ฯ ~ if and only if ฯ โโกโ0 (mod 4). To prove that, some special sequences of integers are utilized. ยฉ 2002 Wiley Periodicals, Inc. J Combin Designs 10: 116โ125, 2002; DOI 10.1002/jcd.10006
๐ SIMILAR VOLUMES
## Abstract The purpose of this paper is the initiation of an attack on the __general existence problem__ for almost resolvable 2__k__โcycle 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