## Abstract The necessary and sufficient conditions for the existence of a 1โrotational __k__โcycle system of the complete graph __K__~__v__~ are established. The proof provides an algorithm able to determine, directly and explicitly, an odd __k__โcycle system of __K__~__v__~ whenever such a system
Resolvable even-cycle systems with a 1-rotational automorphism
โ Scribed by Miwako Mishima; Hung-Lin Fu
- Book ID
- 102307437
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 128 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1063-8539
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โฆ Synopsis
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 11: 394โ407, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/jcd.10058
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