Almost resolvable decompositions of 2Kn into cycles of odd length
β Scribed by Katherine Heinrich; C.C Lindner; C.A Rodger
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 706 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
n 1 his paper we prov that the complete symmetric directed graph with j'~ vertices Ki be dt?ct~mposed into irected circuits of length k, where k is an odd integer, if n = 0 or i (meld k ) and rl b k.
## Abstract In this article, we introduce a new technique for obtaining cycle decompositions of complete equipartite graphs from cycle decompositions of related multigraphs. We use this technique to prove that if __n__, __m__ and Ξ» are positive integers with __n__ β₯ 3, Ξ»β₯ 3 and __n__ and Ξ» both odd
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## Abstract We determine the necessary and sufficient conditions for the existence of a decomposition of the complete graph of even order with a 1βfactor added into cycles of equal length. Β© 2003 Wiley Periodicals, Inc. J Combin Designs 11: 170β207, 2003; Published online in Wiley InterScience (www